TSTP Solution File: SYN484+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN484+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T8VI1fFkKa true

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:02 EDT 2023

% Result   : Theorem 8.64s 1.81s
% Output   : Refutation 8.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  814 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 5026 (   0 equ;   0 cnn)
%            Maximal formula atoms :  742 (   6 avg)
%            Number of connectives : 10980 (2699   ~;3140   |; 535   &;4002   @)
%                                         (   0 <=>; 244  =>; 360  <=;   0 <~>)
%            Maximal formula depth :  110 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  927 (   0   ^; 927   !;   0   ?; 927   :)

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

thf(a1974_type,type,
    a1974: $i ).

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

thf(a2005_type,type,
    a2005: $i ).

thf(a1989_type,type,
    a1989: $i ).

thf(a2014_type,type,
    a2014: $i ).

thf(a1972_type,type,
    a1972: $i ).

thf(a1996_type,type,
    a1996: $i ).

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

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

thf(a1969_type,type,
    a1969: $i ).

thf(a1979_type,type,
    a1979: $i ).

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

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

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

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

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

thf(a1975_type,type,
    a1975: $i ).

thf(a2001_type,type,
    a2001: $i ).

thf(a2012_type,type,
    a2012: $i ).

thf(a1978_type,type,
    a1978: $i ).

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

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

thf(a1971_type,type,
    a1971: $i ).

thf(a1987_type,type,
    a1987: $i ).

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

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

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

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

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

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

thf(a1985_type,type,
    a1985: $i ).

thf(a1990_type,type,
    a1990: $i ).

thf(a2000_type,type,
    a2000: $i ).

thf(a2009_type,type,
    a2009: $i ).

thf(a2049_type,type,
    a2049: $i ).

thf(a1998_type,type,
    a1998: $i ).

thf(a1993_type,type,
    a1993: $i ).

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

thf(a2003_type,type,
    a2003: $i ).

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

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

thf(a1981_type,type,
    a1981: $i ).

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

thf(a2041_type,type,
    a2041: $i ).

thf(a1983_type,type,
    a1983: $i ).

thf(a1991_type,type,
    a1991: $i ).

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

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

thf(a1992_type,type,
    a1992: $i ).

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

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

thf(a1977_type,type,
    a1977: $i ).

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

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

thf(a2031_type,type,
    a2031: $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(a1973_type,type,
    a1973: $i ).

thf(a1970_type,type,
    a1970: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c1_1 @ a1969 )
          & ~ ( c2_1 @ a1969 )
          & ~ ( c3_1 @ a1969 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a1971 )
          & ( c2_1 @ a1971 )
          & ~ ( c1_1 @ a1971 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a1973 )
          & ( c3_1 @ a1973 )
          & ~ ( c2_1 @ a1973 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1974 )
          & ( c2_1 @ a1974 )
          & ~ ( c0_1 @ a1974 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a1975 )
          & ~ ( c1_1 @ a1975 )
          & ~ ( c2_1 @ a1975 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a1977 )
          & ~ ( c2_1 @ a1977 )
          & ~ ( c3_1 @ a1977 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c3_1 @ a1979 )
          & ~ ( c0_1 @ a1979 )
          & ~ ( c2_1 @ a1979 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a1981 )
          & ( c1_1 @ a1981 )
          & ~ ( c3_1 @ a1981 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c3_1 @ a1983 )
          & ~ ( c0_1 @ a1983 )
          & ~ ( c1_1 @ a1983 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a1985 )
          & ~ ( c0_1 @ a1985 )
          & ~ ( c3_1 @ a1985 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c2_1 @ a1987 )
          & ( c3_1 @ a1987 )
          & ~ ( c1_1 @ a1987 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a1989 )
          & ~ ( c0_1 @ a1989 )
          & ~ ( c3_1 @ a1989 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a1990 )
          & ~ ( c1_1 @ a1990 )
          & ~ ( c2_1 @ a1990 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a1991 )
          & ( c2_1 @ a1991 )
          & ~ ( c3_1 @ a1991 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a1992 )
          & ~ ( c0_1 @ a1992 )
          & ~ ( c2_1 @ a1992 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a1993 )
          & ~ ( c0_1 @ a1993 )
          & ~ ( c1_1 @ a1993 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a1996 )
          & ( c3_1 @ a1996 )
          & ~ ( c2_1 @ a1996 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a1998 )
          & ( c3_1 @ a1998 )
          & ~ ( c0_1 @ a1998 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c0_1 @ a2000 )
          & ~ ( c1_1 @ a2000 )
          & ~ ( c3_1 @ a2000 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a2001 )
          & ( c3_1 @ a2001 )
          & ~ ( c0_1 @ a2001 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a2003 )
          & ( c2_1 @ a2003 )
          & ~ ( c3_1 @ a2003 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a2009 )
          & ~ ( c1_1 @ a2009 )
          & ~ ( c3_1 @ a2009 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a2012 )
          & ~ ( c2_1 @ a2012 )
          & ~ ( c3_1 @ a2012 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a2014 )
          & ( c1_1 @ a2014 )
          & ~ ( c2_1 @ a2014 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c0_1 @ a2031 )
          & ~ ( c1_1 @ a2031 )
          & ~ ( c2_1 @ a2031 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a2041 )
          & ~ ( c2_1 @ a2041 )
          & ~ ( c3_1 @ a2041 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a2049 )
          & ( c3_1 @ a2049 )
          & ~ ( c1_1 @ a2049 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a1970 )
          & ( c2_1 @ a1970 )
          & ( c3_1 @ a1970 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1972 )
          & ( c1_1 @ a1972 )
          & ( c3_1 @ a1972 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a1978 )
          & ( c1_1 @ a1978 )
          & ( c2_1 @ a1978 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a2005 )
          & ( c2_1 @ a2005 )
          & ( c3_1 @ a2005 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c2_1 @ V )
              | ~ ( c0_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c3_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c2_1 @ X )
              | ( c3_1 @ X ) ) )
        | hskp27 )
      & ( ! [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
           => ( ~ ( c0_1 @ X1 )
              | ~ ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ( c2_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X7 )
              | ~ ( c0_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | hskp1 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | hskp28 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | hskp2 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ~ ( c0_1 @ X15 )
              | ~ ( c1_1 @ X15 ) ) )
        | hskp3 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | hskp4
        | hskp27 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | hskp5 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | hskp29
        | hskp6 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp1 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | hskp7 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | hskp28
        | hskp8 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) ) )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp29 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ~ ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp9 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X42 )
              | ~ ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) ) )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ~ ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | hskp8 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp10 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp9
        | hskp11 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp12 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c1_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) ) )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ( c3_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp13 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp14 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c1_1 @ X58 ) ) )
        | hskp15 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp3 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 ) ) )
        | hskp10 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp16 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp13
        | hskp17 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp4
        | hskp18 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp19 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) ) )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp13
        | hskp20 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) ) )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) )
        | hskp12 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) ) )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | hskp30
        | hskp5 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c2_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | hskp4
        | hskp10 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 ) ) )
        | hskp21 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp1
        | hskp10 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | hskp22
        | hskp2 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp23
        | hskp6 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ( c3_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp3
        | hskp17 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) )
        | hskp10
        | hskp11 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp30
        | hskp15 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp6
        | hskp18 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | hskp27 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp10 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 ) ) )
        | hskp16
        | hskp15 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ( c3_1 @ X98 )
              | ~ ( c1_1 @ X98 ) ) )
        | ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) ) )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | hskp1
        | hskp22 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 ) ) )
        | hskp16
        | hskp24 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 )
              | ~ ( c3_1 @ X104 ) ) )
        | hskp20 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp11
        | hskp12 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp10 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c2_1 @ X108 ) ) )
        | hskp4
        | hskp17 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 ) ) )
        | hskp12
        | hskp0 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | hskp24
        | hskp25 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 ) ) )
        | hskp14
        | hskp10 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | hskp1
        | hskp4 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | hskp3
        | hskp8 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 )
              | ~ ( c2_1 @ X114 ) ) )
        | hskp17 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c3_1 @ X115 ) ) )
        | hskp26
        | hskp25 )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | hskp4
        | hskp11 )
      & ( hskp28
        | hskp1
        | hskp21 )
      & ( hskp23
        | hskp5
        | hskp8 )
      & ( hskp30
        | hskp27
        | hskp6 )
      & ( hskp16
        | hskp19
        | hskp15 )
      & ( hskp16
        | hskp21
        | hskp18 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c1_1 @ a1969 )
        & ~ ( c2_1 @ a1969 )
        & ~ ( c3_1 @ a1969 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a1971 )
        & ( c2_1 @ a1971 )
        & ~ ( c1_1 @ a1971 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a1973 )
        & ( c3_1 @ a1973 )
        & ~ ( c2_1 @ a1973 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1974 )
        & ( c2_1 @ a1974 )
        & ~ ( c0_1 @ a1974 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a1975 )
        & ~ ( c1_1 @ a1975 )
        & ~ ( c2_1 @ a1975 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a1977 )
        & ~ ( c2_1 @ a1977 )
        & ~ ( c3_1 @ a1977 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c3_1 @ a1979 )
        & ~ ( c0_1 @ a1979 )
        & ~ ( c2_1 @ a1979 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a1981 )
        & ( c1_1 @ a1981 )
        & ~ ( c3_1 @ a1981 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c3_1 @ a1983 )
        & ~ ( c0_1 @ a1983 )
        & ~ ( c1_1 @ a1983 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a1985 )
        & ~ ( c0_1 @ a1985 )
        & ~ ( c3_1 @ a1985 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c2_1 @ a1987 )
        & ( c3_1 @ a1987 )
        & ~ ( c1_1 @ a1987 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a1989 )
        & ~ ( c0_1 @ a1989 )
        & ~ ( c3_1 @ a1989 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a1990 )
        & ~ ( c1_1 @ a1990 )
        & ~ ( c2_1 @ a1990 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a1991 )
        & ( c2_1 @ a1991 )
        & ~ ( c3_1 @ a1991 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a1992 )
        & ~ ( c0_1 @ a1992 )
        & ~ ( c2_1 @ a1992 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a1993 )
        & ~ ( c0_1 @ a1993 )
        & ~ ( c1_1 @ a1993 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a1996 )
        & ( c3_1 @ a1996 )
        & ~ ( c2_1 @ a1996 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a1998 )
        & ( c3_1 @ a1998 )
        & ~ ( c0_1 @ a1998 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c0_1 @ a2000 )
        & ~ ( c1_1 @ a2000 )
        & ~ ( c3_1 @ a2000 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a2001 )
        & ( c3_1 @ a2001 )
        & ~ ( c0_1 @ a2001 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a2003 )
        & ( c2_1 @ a2003 )
        & ~ ( c3_1 @ a2003 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a2009 )
        & ~ ( c1_1 @ a2009 )
        & ~ ( c3_1 @ a2009 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a2012 )
        & ~ ( c2_1 @ a2012 )
        & ~ ( c3_1 @ a2012 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a2014 )
        & ( c1_1 @ a2014 )
        & ~ ( c2_1 @ a2014 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c0_1 @ a2031 )
        & ~ ( c1_1 @ a2031 )
        & ~ ( c2_1 @ a2031 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a2041 )
        & ~ ( c2_1 @ a2041 )
        & ~ ( c3_1 @ a2041 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a2049 )
        & ( c3_1 @ a2049 )
        & ~ ( c1_1 @ a2049 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a1970 )
        & ( c2_1 @ a1970 )
        & ( c3_1 @ a1970 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1972 )
        & ( c1_1 @ a1972 )
        & ( c3_1 @ a1972 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a1978 )
        & ( c1_1 @ a1978 )
        & ( c2_1 @ a1978 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a2005 )
        & ( c2_1 @ a2005 )
        & ( c3_1 @ a2005 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c2_1 @ V )
            | ~ ( c0_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c3_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c2_1 @ X )
            | ( c3_1 @ X ) ) )
      | hskp27 )
    & ( ! [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
         => ( ~ ( c0_1 @ X1 )
            | ~ ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ( c2_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X7 )
            | ~ ( c0_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | hskp1 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | hskp28 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | hskp2 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ~ ( c0_1 @ X15 )
            | ~ ( c1_1 @ X15 ) ) )
      | hskp3 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | hskp4
      | hskp27 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | hskp5 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | hskp29
      | hskp6 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp1 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | hskp7 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | hskp28
      | hskp8 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) ) )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp29 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ~ ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp9 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X42 )
            | ~ ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) ) )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ~ ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | hskp8 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp10 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp9
      | hskp11 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp12 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c1_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) ) )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ( c3_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp13 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp14 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c1_1 @ X58 ) ) )
      | hskp15 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp3 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 ) ) )
      | hskp10 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp16 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp13
      | hskp17 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp4
      | hskp18 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp19 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) ) )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp13
      | hskp20 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) ) )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) )
      | hskp12 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) ) )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | hskp30
      | hskp5 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c2_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | hskp4
      | hskp10 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 ) ) )
      | hskp21 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp1
      | hskp10 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | hskp22
      | hskp2 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp23
      | hskp6 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ( c3_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp3
      | hskp17 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) )
      | hskp10
      | hskp11 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp30
      | hskp15 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp6
      | hskp18 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | hskp27 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp10 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 ) ) )
      | hskp16
      | hskp15 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ( c3_1 @ X98 )
            | ~ ( c1_1 @ X98 ) ) )
      | ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) ) )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | hskp1
      | hskp22 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 ) ) )
      | hskp16
      | hskp24 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 )
            | ~ ( c3_1 @ X104 ) ) )
      | hskp20 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp11
      | hskp12 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp10 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c2_1 @ X108 ) ) )
      | hskp4
      | hskp17 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 ) ) )
      | hskp12
      | hskp0 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | hskp24
      | hskp25 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 ) ) )
      | hskp14
      | hskp10 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | hskp1
      | hskp4 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | hskp3
      | hskp8 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 )
            | ~ ( c2_1 @ X114 ) ) )
      | hskp17 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c3_1 @ X115 ) ) )
      | hskp26
      | hskp25 )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl53,plain,
    ! [X74: $i,X75: $i,X76: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c1_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | ( c2_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl48,plain,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( c0_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | ( c2_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a2003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl576,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1883,plain,
    ( ( ~ ( c1_1 @ a2003 )
      | ( c0_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl576]) ).

thf('1',plain,
    ( ( c0_1 @ a2003 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c3_1 @ a2003 )
    | ~ ( c1_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl1883]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a2000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a2000 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl23,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp6
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp18
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c3_1 @ a1998 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c3_1 @ a1998 )
   <= ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl37,plain,
    ! [X45: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp13
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1581,plain,
    ( ( ( c0_1 @ a1998 )
      | ~ ( c2_1 @ a1998 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a1998 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl340]) ).

thf('4',plain,
    ( ~ ( c2_1 @ a1998 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ( c0_1 @ a1998 )
    | ~ ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1581]) ).

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

thf('5',plain,
    ( ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl76,plain,
    ( ~ hskp30
    | ( c0_1 @ a2005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl492,plain,
    ( ( c0_1 @ a2005 )
   <= ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1251,plain,
    ( ( ~ ( c1_1 @ a2005 )
      | ~ ( c2_1 @ a2005 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl222]) ).

thf('6',plain,
    ( ~ ( c1_1 @ a2005 )
    | ~ ( c2_1 @ a2005 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1251]) ).

thf(zip_derived_cl2,plain,
    ( hskp30
    | hskp27
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp30
    | hskp27
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl436,plain,
    ( ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
   <= ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a2000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ( ~ ( c3_1 @ a2000 )
   <= ~ ( c3_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl2129,plain,
    ( ( ( c2_1 @ a2000 )
      | ( c0_1 @ a2000 ) )
   <= ( ~ ( c3_1 @ a2000 )
      & ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl592]) ).

thf('8',plain,
    ( ( c2_1 @ a2000 )
    | ( c0_1 @ a2000 )
    | ~ ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) )
    | ( c3_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl2129]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp8
    | ( c3_1 @ a1983 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ( ( c3_1 @ a1983 )
   <= ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl63,plain,
    ! [X97: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | hskp29
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl442,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_cl1933,plain,
    ( ( ( c0_1 @ a1983 )
      | ( c1_1 @ a1983 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
      & ( c3_1 @ a1983 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl442]) ).

thf('9',plain,
    ( ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ~ ( c3_1 @ a1983 )
    | ( c0_1 @ a1983 )
    | ( c1_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl1933]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i,X17: $i,X18: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | ( c2_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl269,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl576_001,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl896,plain,
    ( ( ~ ( c1_1 @ a2003 )
      | ~ ( c0_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl576]) ).

thf('11',plain,
    ( ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
    | ~ ( c0_1 @ a2003 )
    | ( c3_1 @ a2003 )
    | ~ ( c1_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl896]) ).

thf(zip_derived_cl64,plain,
    ! [X98: $i,X99: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ~ ( c3_1 @ X98 )
      | ~ ndr1_0
      | ( c3_1 @ X99 )
      | ~ ( c0_1 @ X99 )
      | ~ ( c2_1 @ X99 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( hskp5
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl598_002,plain,
    ( ( c3_1 @ a1998 )
   <= ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp4
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1389,plain,
    ( ( ~ ( c1_1 @ a1998 )
      | ~ ( c2_1 @ a1998 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1998 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl214]) ).

thf('13',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1998 )
    | ~ ( c1_1 @ a1998 )
    | ~ ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1389]) ).

thf(zip_derived_cl271,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1981 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c3_1 @ a1981 )
   <= ~ ( c3_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl938,plain,
    ( ( ~ ( c1_1 @ a1981 )
      | ( c2_1 @ a1981 ) )
   <= ( ~ ( c3_1 @ a1981 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl680]) ).

thf('14',plain,
    ( ( c2_1 @ a1981 )
    | ( c3_1 @ a1981 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl938]) ).

thf(zip_derived_cl45,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c2_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl576_003,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c2_1 @ a2003 )
      | ( c0_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl576]) ).

thf('15',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a2003 )
    | ( c3_1 @ a2003 )
    | ~ ( c2_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl4468,plain,
    ( ( c0_1 @ a2003 )
   <= ( c0_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl222_004,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl4470,plain,
    ( ( ~ ( c1_1 @ a2003 )
      | ~ ( c2_1 @ a2003 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a2003 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4468,zip_derived_cl222]) ).

thf('16',plain,
    ( ~ ( c0_1 @ a2003 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a2003 )
    | ~ ( c1_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl4470]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp7
    | ( c0_1 @ a1981 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ( c0_1 @ a1981 )
   <= ( c0_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl222_005,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1491,plain,
    ( ( ~ ( c1_1 @ a1981 )
      | ~ ( c2_1 @ a1981 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1981 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl222]) ).

thf('17',plain,
    ( ~ ( c2_1 @ a1981 )
    | ~ ( c0_1 @ a1981 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl1491]) ).

thf('18',plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl132,plain,
    ( ~ hskp16
    | ( c0_1 @ a1996 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ( c0_1 @ a1996 )
   <= ( c0_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf(zip_derived_cl17,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | hskp16
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1396,plain,
    ( ( ( c2_1 @ a1996 )
      | ~ ( c1_1 @ a1996 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl261]) ).

thf('19',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ( c1_1 @ a1996 )
    | ~ ( c0_1 @ a1996 )
    | ( c2_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1396]) ).

thf(zip_derived_cl43,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ndr1_0
      | ( c3_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl222_006,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1633,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl222]) ).

thf(zip_derived_cl1690,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1633]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp20
    | ( c1_1 @ a2003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ( c1_1 @ a2003 )
   <= ( c1_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl2281,plain,
    ( ~ ( c2_1 @ a2003 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ( c1_1 @ a2003 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl572]) ).

thf(zip_derived_cl271_007,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl576_008,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl943,plain,
    ( ( ~ ( c1_1 @ a2003 )
      | ( c2_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl576]) ).

thf(zip_derived_cl1147,plain,
    ( ( c2_1 @ a2003 )
   <= ( c2_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl943]) ).

thf('20',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c1_1 @ a2003 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a2003 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2281,zip_derived_cl1147]) ).

thf(zip_derived_cl364_009,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a1989 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c0_1 @ a1989 )
   <= ~ ( c0_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1649,plain,
    ( ( ~ ( c2_1 @ a1989 )
      | ~ ( c1_1 @ a1989 ) )
   <= ( ~ ( c0_1 @ a1989 )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl646]) ).

thf('21',plain,
    ( ~ ( c1_1 @ a1989 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a1989 )
    | ( c0_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl8,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp3
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( hskp8
    | hskp3
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1690_010,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1633]) ).

thf(zip_derived_cl88,plain,
    ( ~ hskp27
    | ( c1_1 @ a1970 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ( c1_1 @ a1970 )
   <= ( c1_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf(zip_derived_cl2283,plain,
    ( ~ ( c2_1 @ a1970 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ( c1_1 @ a1970 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl516]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c2_1 @ a1970 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c2_1 @ a1970 )
   <= ( c2_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('23',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c1_1 @ a1970 )
    | ~ ( c2_1 @ a1970 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2283,zip_derived_cl518]) ).

thf(zip_derived_cl576_011,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl11,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl821,plain,
    ( ( ~ ( c0_1 @ a2003 )
      | ~ ( c2_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl237]) ).

thf('24',plain,
    ( ~ ( c0_1 @ a2003 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a2003 )
    | ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl821]) ).

thf('25',plain,
    ( hskp17
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp28
    | ( c0_1 @ a1972 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl508,plain,
    ( ( c0_1 @ a1972 )
   <= ( c0_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl222_012,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1289,plain,
    ( ( ~ ( c1_1 @ a1972 )
      | ~ ( c2_1 @ a1972 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1972 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl222]) ).

thf('26',plain,
    ( ~ ( c2_1 @ a1972 )
    | ~ ( c0_1 @ a1972 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl1289]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c3_1 @ a1972 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ( c3_1 @ a1972 )
   <= ( c3_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl15,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1307,plain,
    ( ( ( c2_1 @ a1972 )
      | ~ ( c1_1 @ a1972 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a1972 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl253]) ).

thf('27',plain,
    ( ( c2_1 @ a1972 )
    | ~ ( c3_1 @ a1972 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl1307]) ).

thf(zip_derived_cl364_013,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl852,plain,
    ( ~ ( c0_1 @ a2003 )
   <= ~ ( c0_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl821]) ).

thf(zip_derived_cl1656,plain,
    ( ( ~ ( c2_1 @ a2003 )
      | ~ ( c1_1 @ a2003 ) )
   <= ( ~ ( c0_1 @ a2003 )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl852]) ).

thf('28',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ( c0_1 @ a2003 )
    | ~ ( c1_1 @ a2003 )
    | ~ ( c2_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl1656]) ).

thf(zip_derived_cl14,plain,
    ! [X9: $i,X10: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( hskp10
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c3_1 @ a1996 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ( c3_1 @ a1996 )
   <= ( c3_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl28,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1414,plain,
    ( ( ( c1_1 @ a1996 )
      | ( c2_1 @ a1996 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl304]) ).

thf('30',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c1_1 @ a1996 )
    | ~ ( c3_1 @ a1996 )
    | ( c2_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf(zip_derived_cl42,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp16
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl271_014,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a2012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl560,plain,
    ( ~ ( c3_1 @ a2012 )
   <= ~ ( c3_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl945,plain,
    ( ( ~ ( c1_1 @ a2012 )
      | ( c2_1 @ a2012 ) )
   <= ( ~ ( c3_1 @ a2012 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl560]) ).

thf('32',plain,
    ( ( c3_1 @ a2012 )
    | ~ ( c1_1 @ a2012 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl945]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c3_1 @ a1973 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ( c3_1 @ a1973 )
   <= ( c3_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl253_015,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( c2_1 @ a1973 )
      | ~ ( c1_1 @ a1973 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a1973 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl253]) ).

thf('33',plain,
    ( ~ ( c1_1 @ a1973 )
    | ~ ( c3_1 @ a1973 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl1541]) ).

thf(zip_derived_cl718_016,plain,
    ( ( c3_1 @ a1973 )
   <= ( c3_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl50,plain,
    ! [X69: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp9
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1812,plain,
    ( ( ( c0_1 @ a1973 )
      | ( c2_1 @ a1973 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a1973 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl391]) ).

thf('34',plain,
    ( ( c0_1 @ a1973 )
    | ~ ( c3_1 @ a1973 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c2_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl1812]) ).

thf(zip_derived_cl35,plain,
    ! [X40: $i,X41: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl592_017,plain,
    ( ~ ( c3_1 @ a2000 )
   <= ~ ( c3_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1429,plain,
    ( ( ( c2_1 @ a2000 )
      | ( c1_1 @ a2000 ) )
   <= ( ~ ( c3_1 @ a2000 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl592]) ).

thf('35',plain,
    ( ( c2_1 @ a2000 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c3_1 @ a2000 )
    | ( c1_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl1429]) ).

thf(zip_derived_cl26,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp3
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl592_018,plain,
    ( ~ ( c3_1 @ a2000 )
   <= ~ ( c3_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1120,plain,
    ( ( ~ ( c2_1 @ a2000 )
      | ( c1_1 @ a2000 ) )
   <= ( ~ ( c3_1 @ a2000 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl592]) ).

thf('36',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a2000 )
    | ( c3_1 @ a2000 )
    | ( c1_1 @ a2000 ) ),
    inference(split,[status(esa)],[zip_derived_cl1120]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a2000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c1_1 @ a2000 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('38',plain,
    ( ~ ( c3_1 @ a2000 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl40,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp4
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp18
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c3_1 @ a1970 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl520,plain,
    ( ( c3_1 @ a1970 )
   <= ( c3_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl340_019,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1584,plain,
    ( ( ( c0_1 @ a1970 )
      | ~ ( c2_1 @ a1970 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a1970 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl340]) ).

thf(zip_derived_cl4252,plain,
    ( ( c0_1 @ a1970 )
   <= ( c0_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1584]) ).

thf(zip_derived_cl222_020,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl4254,plain,
    ( ( ~ ( c1_1 @ a1970 )
      | ~ ( c2_1 @ a1970 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1970 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4252,zip_derived_cl222]) ).

thf('40',plain,
    ( ~ ( c0_1 @ a1970 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1970 )
    | ~ ( c2_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl4254]) ).

thf(zip_derived_cl9,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp1
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( hskp1
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp6
    | ( c3_1 @ a1979 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c3_1 @ a1979 )
   <= ( c3_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl253_021,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1513,plain,
    ( ( ( c2_1 @ a1979 )
      | ~ ( c1_1 @ a1979 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a1979 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl253]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a1979 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a1979 )
    | ( c2_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl1513]) ).

thf(zip_derived_cl144,plain,
    ( ~ hskp13
    | ( c0_1 @ a1991 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ( c0_1 @ a1991 )
   <= ( c0_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl222_022,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1451,plain,
    ( ( ~ ( c1_1 @ a1991 )
      | ~ ( c2_1 @ a1991 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1991 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl222]) ).

thf('43',plain,
    ( ~ ( c1_1 @ a1991 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1991 )
    | ~ ( c2_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl1451]) ).

thf(zip_derived_cl372_023,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a1985 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c3_1 @ a1985 )
   <= ~ ( c3_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1770,plain,
    ( ( ~ ( c2_1 @ a1985 )
      | ( c0_1 @ a1985 ) )
   <= ( ~ ( c3_1 @ a1985 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl664]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a1985 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a1985 )
    | ( c3_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl1770]) ).

thf(zip_derived_cl271_024,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl664_025,plain,
    ( ~ ( c3_1 @ a1985 )
   <= ~ ( c3_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl939,plain,
    ( ( ~ ( c1_1 @ a1985 )
      | ( c2_1 @ a1985 ) )
   <= ( ~ ( c3_1 @ a1985 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl664]) ).

thf('45',plain,
    ( ( c2_1 @ a1985 )
    | ( c3_1 @ a1985 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp29
    | ( c0_1 @ a1978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500,plain,
    ( ( c0_1 @ a1978 )
   <= ( c0_1 @ a1978 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl269_026,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl6,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp26
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl889,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl218]) ).

thf(zip_derived_cl910,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl889]) ).

thf(zip_derived_cl1279,plain,
    ( ~ ( c1_1 @ a1978 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
      & ( c0_1 @ a1978 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl910]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c1_1 @ a1978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl502,plain,
    ( ( c1_1 @ a1978 )
   <= ( c1_1 @ a1978 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('46',plain,
    ( ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
    | ~ ( c0_1 @ a1978 )
    | ~ ( c1_1 @ a1978 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1279,zip_derived_cl502]) ).

thf(zip_derived_cl56,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c0_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp9
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ~ ndr1_0
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl52,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( hskp8
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl46,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp14
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('50',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | hskp15
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c3_1 @ a1987 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ( c3_1 @ a1987 )
   <= ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl284,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1477,plain,
    ( ( ( c1_1 @ a1987 )
      | ~ ( c0_1 @ a1987 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1987 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl284]) ).

thf('51',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a1987 )
    | ~ ( c3_1 @ a1987 )
    | ( c1_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl372_027,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1989 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ~ ( c3_1 @ a1989 )
   <= ~ ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1771,plain,
    ( ( ~ ( c2_1 @ a1989 )
      | ( c0_1 @ a1989 ) )
   <= ( ~ ( c3_1 @ a1989 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl648]) ).

thf('52',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a1989 )
    | ~ ( c2_1 @ a1989 )
    | ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl1771]) ).

thf(zip_derived_cl654_028,plain,
    ( ( c3_1 @ a1987 )
   <= ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl218_029,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1474,plain,
    ( ( ~ ( c0_1 @ a1987 )
      | ~ ( c1_1 @ a1987 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1987 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl218]) ).

thf(zip_derived_cl2630,plain,
    ( ~ ( c0_1 @ a1987 )
   <= ~ ( c0_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl1474]) ).

thf(zip_derived_cl65,plain,
    ! [X100: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ndr1_0
      | hskp4
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl2634,plain,
    ( ( ( c1_1 @ a1987 )
      | ~ ( c2_1 @ a1987 ) )
   <= ( ~ ( c0_1 @ a1987 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2630,zip_derived_cl450]) ).

thf('53',plain,
    ( ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a1987 )
    | ~ ( c2_1 @ a1987 )
    | ( c1_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl2634]) ).

thf(zip_derived_cl3,plain,
    ( hskp23
    | hskp5
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp8
    | hskp5
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp12
    | ( c3_1 @ a1990 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c3_1 @ a1990 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a1990 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ~ ( c1_1 @ a1990 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a1990 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c2_1 @ a1990 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl49,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ndr1_0
      | ( c0_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( hskp12
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl30,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | ( c2_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | hskp21
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl385_030,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1977 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( c3_1 @ a1977 )
   <= ~ ( c3_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1877,plain,
    ( ( ~ ( c1_1 @ a1977 )
      | ( c0_1 @ a1977 ) )
   <= ( ~ ( c3_1 @ a1977 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl696]) ).

thf('60',plain,
    ( ( c3_1 @ a1977 )
    | ~ ( c1_1 @ a1977 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c0_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl1877]) ).

thf(zip_derived_cl372_031,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl696_032,plain,
    ( ~ ( c3_1 @ a1977 )
   <= ~ ( c3_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1768,plain,
    ( ( ~ ( c2_1 @ a1977 )
      | ( c0_1 @ a1977 ) )
   <= ( ~ ( c3_1 @ a1977 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl696]) ).

thf(zip_derived_cl4346,plain,
    ( ( c0_1 @ a1977 )
   <= ( c0_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf(zip_derived_cl261_033,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl4349,plain,
    ( ( ( c2_1 @ a1977 )
      | ~ ( c1_1 @ a1977 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a1977 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4346,zip_derived_cl261]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a1977 )
    | ~ ( c1_1 @ a1977 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl4349]) ).

thf(zip_derived_cl636,plain,
    ( ( c3_1 @ a1990 )
   <= ( c3_1 @ a1990 ) ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(zip_derived_cl304_034,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( c1_1 @ a1990 )
      | ( c2_1 @ a1990 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1990 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl304]) ).

thf('62',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a1990 )
    | ( c1_1 @ a1990 )
    | ( c2_1 @ a1990 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf(zip_derived_cl21,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( hskp10
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl520_035,plain,
    ( ( c3_1 @ a1970 )
   <= ( c3_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl351,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_cl40]) ).

thf(zip_derived_cl1620,plain,
    ( ( ( c0_1 @ a1970 )
      | ~ ( c1_1 @ a1970 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a1970 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl351]) ).

thf('64',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a1970 )
    | ~ ( c3_1 @ a1970 )
    | ~ ( c1_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1620]) ).

thf(zip_derived_cl520_036,plain,
    ( ( c3_1 @ a1970 )
   <= ( c3_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl214_037,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1315,plain,
    ( ( ~ ( c1_1 @ a1970 )
      | ~ ( c2_1 @ a1970 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1970 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl214]) ).

thf('65',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1970 )
    | ~ ( c3_1 @ a1970 )
    | ~ ( c2_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl271_038,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl253_039,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl936,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl253]) ).

thf(zip_derived_cl959,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl936]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp14
    | ( c1_1 @ a1992 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ( c1_1 @ a1992 )
   <= ( c1_1 @ a1992 ) ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl2437,plain,
    ( ( c2_1 @ a1992 )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a1992 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl620]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a1992 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c2_1 @ a1992 )
   <= ~ ( c2_1 @ a1992 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('66',plain,
    ( ~ ( c1_1 @ a1992 )
    | ( c2_1 @ a1992 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2437,zip_derived_cl624]) ).

thf('67',plain,
    ( ( c1_1 @ a1992 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a1992 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ~ ( c0_1 @ a1992 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('69',plain,
    ( ~ ( c2_1 @ a1992 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl59,plain,
    ! [X90: $i] :
      ( ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl427,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c0_1 @ a1992 )
   <= ~ ( c0_1 @ a1992 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl1988,plain,
    ( ( ~ ( c1_1 @ a1992 )
      | ( c2_1 @ a1992 ) )
   <= ( ~ ( c0_1 @ a1992 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl622]) ).

thf('70',plain,
    ( ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) )
    | ~ ( c1_1 @ a1992 )
    | ( c0_1 @ a1992 )
    | ( c2_1 @ a1992 ) ),
    inference(split,[status(esa)],[zip_derived_cl1988]) ).

thf(zip_derived_cl10,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp14
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( hskp14
    | hskp10
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl32,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp30
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( hskp30
    | hskp5
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl176,plain,
    ( ~ hskp5
    | ( c1_1 @ a1977 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c1_1 @ a1977 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1977 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('75',plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl271_040,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl696_041,plain,
    ( ~ ( c3_1 @ a1977 )
   <= ~ ( c3_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl937,plain,
    ( ( ~ ( c1_1 @ a1977 )
      | ( c2_1 @ a1977 ) )
   <= ( ~ ( c3_1 @ a1977 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl696]) ).

thf('76',plain,
    ( ( c2_1 @ a1977 )
    | ( c3_1 @ a1977 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a1977 ) ),
    inference(split,[status(esa)],[zip_derived_cl937]) ).

thf(zip_derived_cl54,plain,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c1_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c2_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl668_042,plain,
    ( ( c3_1 @ a1983 )
   <= ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl277,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1486,plain,
    ( ( ( c1_1 @ a1983 )
      | ~ ( c2_1 @ a1983 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1983 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl277]) ).

thf('78',plain,
    ( ~ ( c2_1 @ a1983 )
    | ~ ( c3_1 @ a1983 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ( c1_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf(zip_derived_cl33,plain,
    ! [X34: $i,X35: $i,X36: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | ( c1_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c2_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl450_043,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a2009 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ~ ( c3_1 @ a2009 )
   <= ~ ( c3_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl237_044,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl817,plain,
    ( ( ~ ( c0_1 @ a2009 )
      | ~ ( c2_1 @ a2009 ) )
   <= ( ~ ( c3_1 @ a2009 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl568,zip_derived_cl237]) ).

thf(zip_derived_cl840,plain,
    ( ~ ( c0_1 @ a2009 )
   <= ~ ( c0_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl817]) ).

thf(zip_derived_cl2061,plain,
    ( ( ~ ( c2_1 @ a2009 )
      | ( c1_1 @ a2009 ) )
   <= ( ~ ( c0_1 @ a2009 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl840]) ).

thf('80',plain,
    ( ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a2009 )
    | ( c1_1 @ a2009 )
    | ~ ( c2_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl2061]) ).

thf(zip_derived_cl668_045,plain,
    ( ( c3_1 @ a1983 )
   <= ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl304_046,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1488,plain,
    ( ( ( c1_1 @ a1983 )
      | ( c2_1 @ a1983 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1983 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl304]) ).

thf('81',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c2_1 @ a1983 )
    | ( c1_1 @ a1983 )
    | ~ ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf(zip_derived_cl598_047,plain,
    ( ( c3_1 @ a1998 )
   <= ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl253_048,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1391,plain,
    ( ( ( c2_1 @ a1998 )
      | ~ ( c1_1 @ a1998 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a1998 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl253]) ).

thf('82',plain,
    ( ( c2_1 @ a1998 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a1998 )
    | ~ ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1391]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c3_1 @ a2001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ( c3_1 @ a2001 )
   <= ( c3_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl214_049,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1381,plain,
    ( ( ~ ( c1_1 @ a2001 )
      | ~ ( c2_1 @ a2001 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2001 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl214]) ).

thf('83',plain,
    ( ~ ( c1_1 @ a2001 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2001 )
    | ~ ( c2_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1381]) ).

thf(zip_derived_cl450_050,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a2001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ( ~ ( c0_1 @ a2001 )
   <= ~ ( c0_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl2059,plain,
    ( ( ~ ( c2_1 @ a2001 )
      | ( c1_1 @ a2001 ) )
   <= ( ~ ( c0_1 @ a2001 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl584]) ).

thf('84',plain,
    ( ( c1_1 @ a2001 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a2001 )
    | ~ ( c2_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl2059]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c3_1 @ a2005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl496,plain,
    ( ( c3_1 @ a2005 )
   <= ( c3_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl218_051,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1266,plain,
    ( ( ~ ( c0_1 @ a2005 )
      | ~ ( c1_1 @ a2005 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl218]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a2005 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a2005 )
    | ~ ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1266]) ).

thf(zip_derived_cl44,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp3
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl269_052,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl560_053,plain,
    ( ~ ( c3_1 @ a2012 )
   <= ~ ( c3_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl898,plain,
    ( ( ~ ( c1_1 @ a2012 )
      | ~ ( c0_1 @ a2012 ) )
   <= ( ~ ( c3_1 @ a2012 )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl560]) ).

thf('87',plain,
    ( ( c3_1 @ a2012 )
    | ~ ( c1_1 @ a2012 )
    | ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
    | ~ ( c0_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl898]) ).

thf(zip_derived_cl269_054,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl680_055,plain,
    ( ~ ( c3_1 @ a1981 )
   <= ~ ( c3_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl891,plain,
    ( ( ~ ( c1_1 @ a1981 )
      | ~ ( c0_1 @ a1981 ) )
   <= ( ~ ( c3_1 @ a1981 )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl680]) ).

thf('88',plain,
    ( ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
    | ~ ( c1_1 @ a1981 )
    | ( c3_1 @ a1981 )
    | ~ ( c0_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl891]) ).

thf(zip_derived_cl333_056,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl560_057,plain,
    ( ~ ( c3_1 @ a2012 )
   <= ~ ( c3_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1432,plain,
    ( ( ( c2_1 @ a2012 )
      | ( c1_1 @ a2012 ) )
   <= ( ~ ( c3_1 @ a2012 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl560]) ).

thf('89',plain,
    ( ( c1_1 @ a2012 )
    | ( c2_1 @ a2012 )
    | ( c3_1 @ a2012 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1432]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp22
    | ( c0_1 @ a2012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c0_1 @ a2012 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a2012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('92',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl67,plain,
    ! [X103: $i,X104: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0
      | ( c1_1 @ X104 )
      | ( c2_1 @ X104 )
      | ( c3_1 @ X104 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp2
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('94',plain,
    ( hskp2
    | hskp22
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('95',plain,
    ( ( c3_1 @ a1973 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl718_058,plain,
    ( ( c3_1 @ a1973 )
   <= ( c3_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl218_059,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1540,plain,
    ( ( ~ ( c0_1 @ a1973 )
      | ~ ( c1_1 @ a1973 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1973 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl218]) ).

thf('96',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1973 )
    | ~ ( c3_1 @ a1973 )
    | ~ ( c1_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp2
    | ( c1_1 @ a1973 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ( c1_1 @ a1973 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1973 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ ( c2_1 @ a1973 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl2698,plain,
    ( ~ ( c0_1 @ a1973 )
   <= ~ ( c0_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf(zip_derived_cl427_060,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl2701,plain,
    ( ( ( c2_1 @ a1973 )
      | ~ ( c1_1 @ a1973 ) )
   <= ( ~ ( c0_1 @ a1973 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2698,zip_derived_cl427]) ).

thf('99',plain,
    ( ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) )
    | ~ ( c1_1 @ a1973 )
    | ( c2_1 @ a1973 )
    | ( c0_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl2701]) ).

thf(zip_derived_cl427_061,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a1979 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl686,plain,
    ( ~ ( c0_1 @ a1979 )
   <= ~ ( c0_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl1982,plain,
    ( ( ~ ( c1_1 @ a1979 )
      | ( c2_1 @ a1979 ) )
   <= ( ~ ( c0_1 @ a1979 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl686]) ).

thf('100',plain,
    ( ~ ( c1_1 @ a1979 )
    | ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) )
    | ( c0_1 @ a1979 )
    | ( c2_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl1982]) ).

thf(zip_derived_cl60,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ( c1_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( hskp7
    | ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
    | ~ ndr1_0
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl680_062,plain,
    ( ~ ( c3_1 @ a1981 )
   <= ~ ( c3_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl233,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl876,plain,
    ( ( ~ ( c1_1 @ a1981 )
      | ~ ( c2_1 @ a1981 ) )
   <= ( ~ ( c3_1 @ a1981 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl680,zip_derived_cl233]) ).

thf('102',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1981 )
    | ( c3_1 @ a1981 )
    | ~ ( c1_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl876]) ).

thf('103',plain,
    ( ( c0_1 @ a1981 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c1_1 @ a1981 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c1_1 @ a1981 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('105',plain,
    ( ~ ( c3_1 @ a1981 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl676_063,plain,
    ( ( c0_1 @ a1981 )
   <= ( c0_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl261_064,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1492,plain,
    ( ( ( c2_1 @ a1981 )
      | ~ ( c1_1 @ a1981 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a1981 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl261]) ).

thf('106',plain,
    ( ( c2_1 @ a1981 )
    | ~ ( c1_1 @ a1981 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ( c0_1 @ a1981 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i,X47: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c2_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf('108',plain,
    ( hskp11
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl556,plain,
    ( ( c0_1 @ a2012 )
   <= ( c0_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl261_065,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1360,plain,
    ( ( ( c2_1 @ a2012 )
      | ~ ( c1_1 @ a2012 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a2012 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl261]) ).

thf('109',plain,
    ( ~ ( c0_1 @ a2012 )
    | ~ ( c1_1 @ a2012 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a2012 ) ),
    inference(split,[status(esa)],[zip_derived_cl1360]) ).

thf(zip_derived_cl184,plain,
    ( ~ hskp3
    | ( c1_1 @ a1974 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl708,plain,
    ( ( c1_1 @ a1974 )
   <= ( c1_1 @ a1974 ) ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(zip_derived_cl233_066,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl214_067,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl760,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl214]) ).

thf(zip_derived_cl762,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl760]) ).

thf(zip_derived_cl1535,plain,
    ( ~ ( c2_1 @ a1974 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a1974 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl762]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c2_1 @ a1974 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl710,plain,
    ( ( c2_1 @ a1974 )
   <= ( c2_1 @ a1974 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('110',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1974 )
    | ~ ( c2_1 @ a1974 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl710]) ).

thf('111',plain,
    ( ( c0_1 @ a1970 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a1970 )
    | ~ ( c2_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1584]) ).

thf(zip_derived_cl684_068,plain,
    ( ( c3_1 @ a1979 )
   <= ( c3_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl391_069,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1813,plain,
    ( ( ( c0_1 @ a1979 )
      | ( c2_1 @ a1979 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a1979 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl391]) ).

thf('112',plain,
    ( ~ ( c3_1 @ a1979 )
    | ( c0_1 @ a1979 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c2_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl1813]) ).

thf(zip_derived_cl296_070,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl648_071,plain,
    ( ~ ( c3_1 @ a1989 )
   <= ~ ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1118,plain,
    ( ( ~ ( c2_1 @ a1989 )
      | ( c1_1 @ a1989 ) )
   <= ( ~ ( c3_1 @ a1989 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl648]) ).

thf('113',plain,
    ( ( c1_1 @ a1989 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c3_1 @ a1989 )
    | ~ ( c2_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl1118]) ).

thf(zip_derived_cl648_072,plain,
    ( ~ ( c3_1 @ a1989 )
   <= ~ ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl233_073,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl858,plain,
    ( ( ~ ( c1_1 @ a1989 )
      | ~ ( c2_1 @ a1989 ) )
   <= ( ~ ( c3_1 @ a1989 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl648,zip_derived_cl233]) ).

thf('114',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a1989 )
    | ~ ( c2_1 @ a1989 )
    | ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl858]) ).

thf(zip_derived_cl25,plain,
    ! [X25: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( hskp10
    | hskp11
    | ~ ndr1_0
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl654_074,plain,
    ( ( c3_1 @ a1987 )
   <= ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl277_075,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1476,plain,
    ( ( ( c1_1 @ a1987 )
      | ~ ( c2_1 @ a1987 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1987 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl277]) ).

thf('116',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a1987 )
    | ( c1_1 @ a1987 )
    | ~ ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl1476]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a2014 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ ( c2_1 @ a2014 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp23
    | ( c0_1 @ a2014 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl548,plain,
    ( ( c0_1 @ a2014 )
   <= ( c0_1 @ a2014 ) ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl261_076,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1342,plain,
    ( ( ( c2_1 @ a2014 )
      | ~ ( c1_1 @ a2014 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a2014 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl261]) ).

thf('118',plain,
    ( ~ ( c0_1 @ a2014 )
    | ( c2_1 @ a2014 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ( c1_1 @ a2014 ) ),
    inference(split,[status(esa)],[zip_derived_cl1342]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp4
    | ( c0_1 @ a1975 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c0_1 @ a1975 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a1975 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c1_1 @ a1975 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1975 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ~ ( c2_1 @ a1975 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('122',plain,
    ( hskp27
    | hskp4
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl700,plain,
    ( ( c0_1 @ a1975 )
   <= ( c0_1 @ a1975 ) ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl31,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | hskp4
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl316,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1524,plain,
    ( ( ( c1_1 @ a1975 )
      | ( c2_1 @ a1975 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 ) )
      & ( c0_1 @ a1975 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl316]) ).

thf('123',plain,
    ( ( c1_1 @ a1975 )
    | ( c2_1 @ a1975 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 ) )
    | ~ ( c0_1 @ a1975 ) ),
    inference(split,[status(esa)],[zip_derived_cl1524]) ).

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

thf('124',plain,
    ( hskp3
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('125',plain,
    ( ( c3_1 @ a1983 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a1983 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a1983 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1983 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ ( c1_1 @ a1983 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('128',plain,
    ( hskp8
    | ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl427_077,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c2_1 @ X90 )
        | ~ ( c1_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1998 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c0_1 @ a1998 )
   <= ~ ( c0_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1990,plain,
    ( ( ~ ( c1_1 @ a1998 )
      | ( c2_1 @ a1998 ) )
   <= ( ~ ( c0_1 @ a1998 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl600]) ).

thf('129',plain,
    ( ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c2_1 @ X90 )
          | ~ ( c1_1 @ X90 ) )
    | ( c2_1 @ a1998 )
    | ( c0_1 @ a1998 )
    | ~ ( c1_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1990]) ).

thf(zip_derived_cl364_078,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl600_079,plain,
    ( ~ ( c0_1 @ a1998 )
   <= ~ ( c0_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1653,plain,
    ( ( ~ ( c2_1 @ a1998 )
      | ~ ( c1_1 @ a1998 ) )
   <= ( ~ ( c0_1 @ a1998 )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl600]) ).

thf('130',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a1998 )
    | ~ ( c1_1 @ a1998 )
    | ( c0_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1653]) ).

thf(zip_derived_cl296_080,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl277_081,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1112,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl277]) ).

thf(zip_derived_cl1137,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1112]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1971 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c1_1 @ a1971 )
   <= ~ ( c1_1 @ a1971 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl3028,plain,
    ( ~ ( c2_1 @ a1971 )
   <= ( ~ ( c1_1 @ a1971 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1137,zip_derived_cl728]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c2_1 @ a1971 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ( c2_1 @ a1971 )
   <= ( c2_1 @ a1971 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('131',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a1971 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c1_1 @ a1971 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3028,zip_derived_cl726]) ).

thf(zip_derived_cl496_082,plain,
    ( ( c3_1 @ a2005 )
   <= ( c3_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl214_083,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1265,plain,
    ( ( ~ ( c1_1 @ a2005 )
      | ~ ( c2_1 @ a2005 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl214]) ).

thf('132',plain,
    ( ~ ( c1_1 @ a2005 )
    | ~ ( c3_1 @ a2005 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1265]) ).

thf(zip_derived_cl606_084,plain,
    ( ( c3_1 @ a1996 )
   <= ( c3_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl253_085,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1411,plain,
    ( ( ( c2_1 @ a1996 )
      | ~ ( c1_1 @ a1996 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl253]) ).

thf('133',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a1996 )
    | ~ ( c3_1 @ a1996 )
    | ( c2_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf(zip_derived_cl16,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp20
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl492_086,plain,
    ( ( c0_1 @ a2005 )
   <= ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl292,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1253,plain,
    ( ( ( c1_1 @ a2005 )
      | ~ ( c2_1 @ a2005 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
      & ( c0_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl292]) ).

thf('135',plain,
    ( ( c1_1 @ a2005 )
    | ~ ( c0_1 @ a2005 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c2_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1253]) ).

thf(zip_derived_cl496_087,plain,
    ( ( c3_1 @ a2005 )
   <= ( c3_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl277_088,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1268,plain,
    ( ( ( c1_1 @ a2005 )
      | ~ ( c2_1 @ a2005 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl277]) ).

thf('136',plain,
    ( ( c1_1 @ a2005 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a2005 )
    | ~ ( c2_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl492_089,plain,
    ( ( c0_1 @ a2005 )
   <= ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl233_090,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl218_091,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl761,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl218]) ).

thf(zip_derived_cl763,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl761]) ).

thf(zip_derived_cl1255,plain,
    ( ( ~ ( c1_1 @ a2005 )
      | ~ ( c2_1 @ a2005 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a2005 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl763]) ).

thf('137',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a2005 )
    | ~ ( c2_1 @ a2005 )
    | ~ ( c0_1 @ a2005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1255]) ).

thf('138',plain,
    ( ( c0_1 @ a2005 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c2_1 @ a2005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ( c2_1 @ a2005 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('140',plain,
    ( ( c3_1 @ a2005 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl24,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp30
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( hskp30
    | hskp15
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl606_092,plain,
    ( ( c3_1 @ a1996 )
   <= ( c3_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl284_093,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1413,plain,
    ( ( ( c1_1 @ a1996 )
      | ~ ( c0_1 @ a1996 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl284]) ).

thf('142',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c1_1 @ a1996 )
    | ~ ( c3_1 @ a1996 )
    | ~ ( c0_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1413]) ).

thf(zip_derived_cl604_094,plain,
    ( ( c0_1 @ a1996 )
   <= ( c0_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf(zip_derived_cl316_095,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1398,plain,
    ( ( ( c1_1 @ a1996 )
      | ( c2_1 @ a1996 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 ) )
      & ( c0_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl316]) ).

thf('143',plain,
    ( ( c1_1 @ a1996 )
    | ( c2_1 @ a1996 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 ) )
    | ~ ( c0_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf(zip_derived_cl606_096,plain,
    ( ( c3_1 @ a1996 )
   <= ( c3_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl218_097,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1410,plain,
    ( ( ~ ( c0_1 @ a1996 )
      | ~ ( c1_1 @ a1996 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1996 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl218]) ).

thf('144',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1996 )
    | ~ ( c0_1 @ a1996 )
    | ~ ( c3_1 @ a1996 ) ),
    inference(split,[status(esa)],[zip_derived_cl1410]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('146',plain,
    ( ( c0_1 @ a1996 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf('147',plain,
    ( ( c3_1 @ a1996 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a1996 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ~ ( c2_1 @ a1996 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1,plain,
    ( hskp16
    | hskp19
    | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( hskp16
    | hskp19
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl34,plain,
    ! [X37: $i,X38: $i,X39: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | ( c1_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('151',plain,
    ( ( c3_1 @ a2001 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp19
    | ( c2_1 @ a2001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c2_1 @ a2001 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf('153',plain,
    ( ~ ( c0_1 @ a2001 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl582_098,plain,
    ( ( c3_1 @ a2001 )
   <= ( c3_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl340_099,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1582,plain,
    ( ( ( c0_1 @ a2001 )
      | ~ ( c2_1 @ a2001 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a2001 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl340]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a2001 )
    | ( c0_1 @ a2001 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c2_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1582]) ).

thf(zip_derived_cl296_100,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a1991 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl632,plain,
    ( ~ ( c3_1 @ a1991 )
   <= ~ ( c3_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1119,plain,
    ( ( ~ ( c2_1 @ a1991 )
      | ( c1_1 @ a1991 ) )
   <= ( ~ ( c3_1 @ a1991 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl632]) ).

thf('155',plain,
    ( ( c1_1 @ a1991 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a1991 )
    | ( c3_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl1119]) ).

thf(zip_derived_cl22,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp27
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl520_101,plain,
    ( ( c3_1 @ a1970 )
   <= ( c3_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl218_102,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1316,plain,
    ( ( ~ ( c0_1 @ a1970 )
      | ~ ( c1_1 @ a1970 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1970 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl218]) ).

thf('157',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1970 )
    | ~ ( c3_1 @ a1970 )
    | ~ ( c1_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1316]) ).

thf('158',plain,
    ( ( c1_1 @ a1970 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf('159',plain,
    ( ( c2_1 @ a1970 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('160',plain,
    ( ( c3_1 @ a1970 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl2404,plain,
    ( ~ ( c0_1 @ a1970 )
   <= ~ ( c0_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl1316]) ).

thf(zip_derived_cl364_103,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl2406,plain,
    ( ( ~ ( c1_1 @ a1970 )
      | ~ ( c2_1 @ a1970 ) )
   <= ( ~ ( c0_1 @ a1970 )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2404,zip_derived_cl364]) ).

thf('161',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ( c0_1 @ a1970 )
    | ~ ( c2_1 @ a1970 )
    | ~ ( c1_1 @ a1970 ) ),
    inference(split,[status(esa)],[zip_derived_cl2406]) ).

thf(zip_derived_cl57,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( hskp29
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ~ ndr1_0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('163',plain,
    ( ( c0_1 @ a1978 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf('164',plain,
    ( ( c1_1 @ a1978 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c2_1 @ a1978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c2_1 @ a1978 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl500_104,plain,
    ( ( c0_1 @ a1978 )
   <= ( c0_1 @ a1978 ) ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl763_105,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl761]) ).

thf(zip_derived_cl1275,plain,
    ( ( ~ ( c1_1 @ a1978 )
      | ~ ( c2_1 @ a1978 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1978 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl763]) ).

thf('166',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c0_1 @ a1978 )
    | ~ ( c1_1 @ a1978 )
    | ~ ( c2_1 @ a1978 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1275]) ).

thf(zip_derived_cl654_106,plain,
    ( ( c3_1 @ a1987 )
   <= ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl340_107,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1578,plain,
    ( ( ( c0_1 @ a1987 )
      | ~ ( c2_1 @ a1987 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a1987 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl340]) ).

thf(zip_derived_cl4042,plain,
    ( ( c0_1 @ a1987 )
   <= ( c0_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl1578]) ).

thf(zip_derived_cl292_108,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl4046,plain,
    ( ( ( c1_1 @ a1987 )
      | ~ ( c2_1 @ a1987 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
      & ( c0_1 @ a1987 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4042,zip_derived_cl292]) ).

thf('167',plain,
    ( ~ ( c0_1 @ a1987 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c2_1 @ a1987 )
    | ( c1_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl4046]) ).

thf(zip_derived_cl156,plain,
    ( ~ hskp10
    | ( c2_1 @ a1987 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ( c2_1 @ a1987 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl156]) ).

thf('169',plain,
    ( ( c3_1 @ a1987 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1987 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ~ ( c1_1 @ a1987 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('171',plain,
    ( hskp10
    | ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c1_1 @ X18 ) )
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl29,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | hskp1
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( hskp10
    | hskp1
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl684_109,plain,
    ( ( c3_1 @ a1979 )
   <= ( c3_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl351_110,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_cl40]) ).

thf(zip_derived_cl1612,plain,
    ( ( ( c0_1 @ a1979 )
      | ~ ( c1_1 @ a1979 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a1979 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl351]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a1979 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a1979 )
    | ( c0_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl1612]) ).

thf('174',plain,
    ( ( c3_1 @ a1979 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf('175',plain,
    ( ~ ( c0_1 @ a1979 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a1979 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ ( c2_1 @ a1979 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl27,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | hskp23
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( hskp23
    | hskp6
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('178',plain,
    ( ( c0_1 @ a2014 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c1_1 @ a2014 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ( c1_1 @ a2014 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl548_111,plain,
    ( ( c0_1 @ a2014 )
   <= ( c0_1 @ a2014 ) ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl910_112,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl889]) ).

thf(zip_derived_cl1349,plain,
    ( ~ ( c1_1 @ a2014 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
      & ( c0_1 @ a2014 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl910]) ).

thf(zip_derived_cl550,plain,
    ( ( c1_1 @ a2014 )
   <= ( c1_1 @ a2014 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('180',plain,
    ( ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
    | ~ ( c0_1 @ a2014 )
    | ~ ( c1_1 @ a2014 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl550]) ).

thf(zip_derived_cl508_113,plain,
    ( ( c0_1 @ a1972 )
   <= ( c0_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl910_114,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl889]) ).

thf(zip_derived_cl1297,plain,
    ( ~ ( c1_1 @ a1972 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) )
      & ( c0_1 @ a1972 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl910]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c1_1 @ a1972 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( c1_1 @ a1972 )
   <= ( c1_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('181',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1972 )
    | ~ ( c1_1 @ a1972 )
    | ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c1_1 @ X18 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl510]) ).

thf(zip_derived_cl684_115,plain,
    ( ( c3_1 @ a1979 )
   <= ( c3_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl304_116,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1516,plain,
    ( ( ( c1_1 @ a1979 )
      | ( c2_1 @ a1979 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1979 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl304]) ).

thf('182',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c1_1 @ a1979 )
    | ( c2_1 @ a1979 )
    | ~ ( c3_1 @ a1979 ) ),
    inference(split,[status(esa)],[zip_derived_cl1516]) ).

thf('183',plain,
    ( ( c1_1 @ a1974 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf('184',plain,
    ( ( c2_1 @ a1974 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a1974 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ~ ( c0_1 @ a1974 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl364_117,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl712,plain,
    ( ~ ( c0_1 @ a1974 )
   <= ~ ( c0_1 @ a1974 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1643,plain,
    ( ( ~ ( c2_1 @ a1974 )
      | ~ ( c1_1 @ a1974 ) )
   <= ( ~ ( c0_1 @ a1974 )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl712]) ).

thf('186',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c1_1 @ a1974 )
    | ~ ( c2_1 @ a1974 )
    | ( c0_1 @ a1974 ) ),
    inference(split,[status(esa)],[zip_derived_cl1643]) ).

thf(zip_derived_cl128,plain,
    ( ~ hskp17
    | ( c1_1 @ a1998 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ( c1_1 @ a1998 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl128]) ).

thf('188',plain,
    ( ( c3_1 @ a1998 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('189',plain,
    ( ~ ( c0_1 @ a1998 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl47,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( hskp13
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('191',plain,
    ( hskp3
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl372_118,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl568_119,plain,
    ( ~ ( c3_1 @ a2009 )
   <= ~ ( c3_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1775,plain,
    ( ( ~ ( c2_1 @ a2009 )
      | ( c0_1 @ a2009 ) )
   <= ( ~ ( c3_1 @ a2009 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl568]) ).

thf(zip_derived_cl4498,plain,
    ( ( c0_1 @ a2009 )
   <= ( c0_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl1775]) ).

thf(zip_derived_cl292_120,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl4502,plain,
    ( ( ( c1_1 @ a2009 )
      | ~ ( c2_1 @ a2009 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
      & ( c0_1 @ a2009 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4498,zip_derived_cl292]) ).

thf('192',plain,
    ( ~ ( c0_1 @ a2009 )
    | ~ ( c2_1 @ a2009 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ( c1_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl4502]) ).

thf('193',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a2009 )
    | ( c3_1 @ a2009 )
    | ~ ( c2_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl1775]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp21
    | ( c2_1 @ a2009 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ( c2_1 @ a2009 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a2009 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ~ ( c1_1 @ a2009 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('196',plain,
    ( ~ ( c3_1 @ a2009 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl296_121,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl568_122,plain,
    ( ~ ( c3_1 @ a2009 )
   <= ~ ( c3_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1122,plain,
    ( ( ~ ( c2_1 @ a2009 )
      | ( c1_1 @ a2009 ) )
   <= ( ~ ( c3_1 @ a2009 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl568]) ).

thf('197',plain,
    ( ( c1_1 @ a2009 )
    | ( c3_1 @ a2009 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a2009 ) ),
    inference(split,[status(esa)],[zip_derived_cl1122]) ).

thf('198',plain,
    ( hskp20
    | hskp13
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp1
    | ( c0_1 @ a1971 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ( c0_1 @ a1971 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('200',plain,
    ( ( c2_1 @ a1971 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('201',plain,
    ( ~ ( c1_1 @ a1971 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl724,plain,
    ( ( c0_1 @ a1971 )
   <= ( c0_1 @ a1971 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl292_123,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1547,plain,
    ( ( ( c1_1 @ a1971 )
      | ~ ( c2_1 @ a1971 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
      & ( c0_1 @ a1971 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl292]) ).

thf('202',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c0_1 @ a1971 )
    | ~ ( c2_1 @ a1971 )
    | ( c1_1 @ a1971 ) ),
    inference(split,[status(esa)],[zip_derived_cl1547]) ).

thf('203',plain,
    ( ~ ( c3_1 @ a1991 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl632_124,plain,
    ( ~ ( c3_1 @ a1991 )
   <= ~ ( c3_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl233_125,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl846,plain,
    ( ( ~ ( c1_1 @ a1991 )
      | ~ ( c2_1 @ a1991 ) )
   <= ( ~ ( c3_1 @ a1991 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl233]) ).

thf('204',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a1991 )
    | ( c3_1 @ a1991 )
    | ~ ( c2_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl846]) ).

thf('205',plain,
    ( ( c0_1 @ a1991 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c2_1 @ a1991 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ( c2_1 @ a1991 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl628_126,plain,
    ( ( c0_1 @ a1991 )
   <= ( c0_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl292_127,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1453,plain,
    ( ( ( c1_1 @ a1991 )
      | ~ ( c2_1 @ a1991 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
      & ( c0_1 @ a1991 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl292]) ).

thf('207',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ( c1_1 @ a1991 )
    | ~ ( c0_1 @ a1991 )
    | ~ ( c2_1 @ a1991 ) ),
    inference(split,[status(esa)],[zip_derived_cl1453]) ).

thf('208',plain,
    ( ( c0_1 @ a1987 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c2_1 @ a1987 )
    | ~ ( c3_1 @ a1987 ) ),
    inference(split,[status(esa)],[zip_derived_cl1578]) ).

thf('209',plain,
    ( ( c1_1 @ a2003 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c2_1 @ a2003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ( c2_1 @ a2003 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('211',plain,
    ( ~ ( c3_1 @ a2003 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl576_128,plain,
    ( ~ ( c3_1 @ a2003 )
   <= ~ ( c3_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl233_129,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl820,plain,
    ( ( ~ ( c1_1 @ a2003 )
      | ~ ( c2_1 @ a2003 ) )
   <= ( ~ ( c3_1 @ a2003 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl233]) ).

thf('212',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a2003 )
    | ( c3_1 @ a2003 )
    | ~ ( c1_1 @ a2003 ) ),
    inference(split,[status(esa)],[zip_derived_cl820]) ).

thf(zip_derived_cl598_130,plain,
    ( ( c3_1 @ a1998 )
   <= ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl351_131,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_cl40]) ).

thf(zip_derived_cl1617,plain,
    ( ( ( c0_1 @ a1998 )
      | ~ ( c1_1 @ a1998 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a1998 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl351]) ).

thf('213',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a1998 )
    | ( c0_1 @ a1998 )
    | ~ ( c1_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1617]) ).

thf('214',plain,
    ( ( c0_1 @ a1972 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf('215',plain,
    ( ( c1_1 @ a1972 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('216',plain,
    ( ( c3_1 @ a1972 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl512_132,plain,
    ( ( c3_1 @ a1972 )
   <= ( c3_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl218_133,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1306,plain,
    ( ( ~ ( c0_1 @ a1972 )
      | ~ ( c1_1 @ a1972 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1972 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl218]) ).

thf('217',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1972 )
    | ~ ( c1_1 @ a1972 )
    | ~ ( c3_1 @ a1972 ) ),
    inference(split,[status(esa)],[zip_derived_cl1306]) ).

thf(zip_derived_cl959_134,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl936]) ).

thf(zip_derived_cl716,plain,
    ( ( c1_1 @ a1973 )
   <= ( c1_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl2432,plain,
    ( ( c2_1 @ a1973 )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a1973 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl716]) ).

thf(zip_derived_cl720,plain,
    ( ~ ( c2_1 @ a1973 )
   <= ~ ( c2_1 @ a1973 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('218',plain,
    ( ~ ( c1_1 @ a1973 )
    | ( c2_1 @ a1973 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2432,zip_derived_cl720]) ).

thf(zip_derived_cl582_135,plain,
    ( ( c3_1 @ a2001 )
   <= ( c3_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl351_136,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_cl40]) ).

thf(zip_derived_cl1618,plain,
    ( ( ( c0_1 @ a2001 )
      | ~ ( c1_1 @ a2001 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a2001 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl351]) ).

thf('219',plain,
    ( ~ ( c1_1 @ a2001 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a2001 )
    | ( c0_1 @ a2001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1618]) ).

thf(zip_derived_cl136,plain,
    ( ~ hskp15
    | ( c2_1 @ a1993 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ( c2_1 @ a1993 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a1993 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ~ ( c0_1 @ a1993 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1993 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ~ ( c1_1 @ a1993 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl450_137,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c0_1 @ a1993 )
   <= ~ ( c0_1 @ a1993 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl2056,plain,
    ( ( ~ ( c2_1 @ a1993 )
      | ( c1_1 @ a1993 ) )
   <= ( ~ ( c0_1 @ a1993 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl614]) ).

thf('223',plain,
    ( ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a1993 )
    | ( c1_1 @ a1993 )
    | ~ ( c2_1 @ a1993 ) ),
    inference(split,[status(esa)],[zip_derived_cl2056]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp9
    | ( c1_1 @ a1985 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ( c1_1 @ a1985 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a1985 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ ( c0_1 @ a1985 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('226',plain,
    ( ~ ( c3_1 @ a1985 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('227',plain,
    ( hskp9
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl385_138,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl648_139,plain,
    ( ~ ( c3_1 @ a1989 )
   <= ~ ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1880,plain,
    ( ( ~ ( c1_1 @ a1989 )
      | ( c0_1 @ a1989 ) )
   <= ( ~ ( c3_1 @ a1989 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl648]) ).

thf('228',plain,
    ( ~ ( c1_1 @ a1989 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c0_1 @ a1989 )
    | ( c3_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl1880]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp11
    | ( c2_1 @ a1989 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ( c2_1 @ a1989 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf('230',plain,
    ( ~ ( c0_1 @ a1989 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('231',plain,
    ( ~ ( c3_1 @ a1989 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl450_140,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl646_141,plain,
    ( ~ ( c0_1 @ a1989 )
   <= ~ ( c0_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl2053,plain,
    ( ( ~ ( c2_1 @ a1989 )
      | ( c1_1 @ a1989 ) )
   <= ( ~ ( c0_1 @ a1989 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl646]) ).

thf('232',plain,
    ( ( c1_1 @ a1989 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a1989 )
    | ~ ( c2_1 @ a1989 ) ),
    inference(split,[status(esa)],[zip_derived_cl2053]) ).

thf(zip_derived_cl58,plain,
    ! [X87: $i,X88: $i,X89: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c0_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ndr1_0
      | ( c2_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl668_142,plain,
    ( ( c3_1 @ a1983 )
   <= ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl391_143,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1814,plain,
    ( ( ( c0_1 @ a1983 )
      | ( c2_1 @ a1983 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a1983 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl391]) ).

thf('234',plain,
    ( ( c2_1 @ a1983 )
    | ( c0_1 @ a1983 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ~ ( c3_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl1814]) ).

thf(zip_derived_cl450_144,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( c0_1 @ a1983 )
   <= ~ ( c0_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl2051,plain,
    ( ( ~ ( c2_1 @ a1983 )
      | ( c1_1 @ a1983 ) )
   <= ( ~ ( c0_1 @ a1983 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl670]) ).

thf('235',plain,
    ( ~ ( c2_1 @ a1983 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c2_1 @ X100 ) )
    | ( c0_1 @ a1983 )
    | ( c1_1 @ a1983 ) ),
    inference(split,[status(esa)],[zip_derived_cl2051]) ).

thf(zip_derived_cl385_145,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c3_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl664_146,plain,
    ( ~ ( c3_1 @ a1985 )
   <= ~ ( c3_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1879,plain,
    ( ( ~ ( c1_1 @ a1985 )
      | ( c0_1 @ a1985 ) )
   <= ( ~ ( c3_1 @ a1985 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl664]) ).

thf('236',plain,
    ( ( c0_1 @ a1985 )
    | ( c3_1 @ a1985 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c3_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ~ ( c1_1 @ a1985 ) ),
    inference(split,[status(esa)],[zip_derived_cl1879]) ).

thf(zip_derived_cl598_147,plain,
    ( ( c3_1 @ a1998 )
   <= ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl391_148,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1818,plain,
    ( ( ( c0_1 @ a1998 )
      | ( c2_1 @ a1998 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a1998 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl391]) ).

thf('237',plain,
    ( ( c2_1 @ a1998 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c0_1 @ a1998 )
    | ~ ( c3_1 @ a1998 ) ),
    inference(split,[status(esa)],[zip_derived_cl1818]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('238',plain,
    ( ~ hskp28
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('239',plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl4,plain,
    ( hskp28
    | hskp1
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('241',plain,
    ( hskp28
    | hskp1
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl6054,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SYN484+1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T8VI1fFkKa true
% 0.11/0.32  % Computer : n001.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sat Aug 26 19:19:01 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.16/0.55  % Total configuration time : 435
% 0.16/0.55  % Estimated wc time : 1092
% 0.16/0.55  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.63  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.65  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.64/1.81  % Solved by fo/fo1_av.sh.
% 8.64/1.81  % done 2052 iterations in 1.041s
% 8.64/1.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.64/1.81  % SZS output start Refutation
% See solution above
% 8.90/1.82  
% 8.90/1.82  
% 8.90/1.82  % Terminating...
% 9.01/1.89  % Runner terminated.
% 9.01/1.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------