TSTP Solution File: SYN475+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6kzTbYbySj true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:54 EDT 2023

% Result   : Theorem 5.26s 1.35s
% Output   : Refutation 5.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  589 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 3806 (   0 equ;   0 cnn)
%            Maximal formula atoms :  712 (   7 avg)
%            Number of connectives : 8105 (1951   ~;2376   |; 460   &;2872   @)
%                                         (   0 <=>; 232  =>; 214  <=;   0 <~>)
%            Maximal formula depth :  105 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  668 (   0   ^; 668   !;   0   ?; 668   :)

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

thf(a1003_type,type,
    a1003: $i ).

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

thf(a1015_type,type,
    a1015: $i ).

thf(a1044_type,type,
    a1044: $i ).

thf(a1033_type,type,
    a1033: $i ).

thf(a1030_type,type,
    a1030: $i ).

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

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

thf(a1000_type,type,
    a1000: $i ).

thf(a1006_type,type,
    a1006: $i ).

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

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

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

thf(a1001_type,type,
    a1001: $i ).

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

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

thf(a1004_type,type,
    a1004: $i ).

thf(a1037_type,type,
    a1037: $i ).

thf(a1043_type,type,
    a1043: $i ).

thf(a1040_type,type,
    a1040: $i ).

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

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

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

thf(a1012_type,type,
    a1012: $i ).

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

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

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

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

thf(a1011_type,type,
    a1011: $i ).

thf(a1019_type,type,
    a1019: $i ).

thf(a1036_type,type,
    a1036: $i ).

thf(a1041_type,type,
    a1041: $i ).

thf(a1052_type,type,
    a1052: $i ).

thf(a1032_type,type,
    a1032: $i ).

thf(a1026_type,type,
    a1026: $i ).

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

thf(a1038_type,type,
    a1038: $i ).

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

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

thf(a1008_type,type,
    a1008: $i ).

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

thf(a1048_type,type,
    a1048: $i ).

thf(a1010_type,type,
    a1010: $i ).

thf(a1023_type,type,
    a1023: $i ).

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

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

thf(a1025_type,type,
    a1025: $i ).

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

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

thf(a1005_type,type,
    a1005: $i ).

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

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

thf(a1045_type,type,
    a1045: $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(a1002_type,type,
    a1002: $i ).

thf(a1029_type,type,
    a1029: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a1000 )
          & ( c2_1 @ a1000 )
          & ~ ( c3_1 @ a1000 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a1001 )
          & ( c3_1 @ a1001 )
          & ~ ( c1_1 @ a1001 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a1002 )
          & ( c2_1 @ a1002 )
          & ~ ( c1_1 @ a1002 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1003 )
          & ~ ( c0_1 @ a1003 )
          & ~ ( c2_1 @ a1003 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1004 )
          & ( c2_1 @ a1004 )
          & ~ ( c3_1 @ a1004 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c1_1 @ a1005 )
          & ~ ( c2_1 @ a1005 )
          & ~ ( c3_1 @ a1005 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a1006 )
          & ( c3_1 @ a1006 )
          & ~ ( c2_1 @ a1006 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a1008 )
          & ~ ( c1_1 @ a1008 )
          & ~ ( c3_1 @ a1008 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1010 )
          & ( c3_1 @ a1010 )
          & ~ ( c1_1 @ a1010 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a1011 )
          & ( c1_1 @ a1011 )
          & ~ ( c2_1 @ a1011 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a1012 )
          & ~ ( c1_1 @ a1012 )
          & ~ ( c3_1 @ a1012 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c3_1 @ a1015 )
          & ~ ( c0_1 @ a1015 )
          & ~ ( c1_1 @ a1015 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a1019 )
          & ( c2_1 @ a1019 )
          & ~ ( c0_1 @ a1019 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a1023 )
          & ~ ( c1_1 @ a1023 )
          & ~ ( c2_1 @ a1023 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a1025 )
          & ~ ( c2_1 @ a1025 )
          & ~ ( c3_1 @ a1025 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a1026 )
          & ~ ( c0_1 @ a1026 )
          & ~ ( c1_1 @ a1026 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a1030 )
          & ~ ( c2_1 @ a1030 )
          & ~ ( c3_1 @ a1030 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a1032 )
          & ( c3_1 @ a1032 )
          & ~ ( c0_1 @ a1032 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a1036 )
          & ( c3_1 @ a1036 )
          & ~ ( c2_1 @ a1036 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a1037 )
          & ~ ( c1_1 @ a1037 )
          & ~ ( c3_1 @ a1037 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c0_1 @ a1038 )
          & ~ ( c1_1 @ a1038 )
          & ~ ( c2_1 @ a1038 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a1041 )
          & ~ ( c0_1 @ a1041 )
          & ~ ( c3_1 @ a1041 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a1043 )
          & ~ ( c1_1 @ a1043 )
          & ~ ( c2_1 @ a1043 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a1044 )
          & ( c1_1 @ a1044 )
          & ~ ( c3_1 @ a1044 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a1045 )
          & ( c3_1 @ a1045 )
          & ~ ( c0_1 @ a1045 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a1048 )
          & ~ ( c0_1 @ a1048 )
          & ~ ( c3_1 @ a1048 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c3_1 @ a1052 )
          & ~ ( c0_1 @ a1052 )
          & ~ ( c2_1 @ a1052 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1029 )
          & ( c2_1 @ a1029 )
          & ( c3_1 @ a1029 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1033 )
          & ( c1_1 @ a1033 )
          & ( c2_1 @ a1033 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a1040 )
          & ( c1_1 @ a1040 )
          & ( c3_1 @ a1040 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | hskp0
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c2_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ~ ( c0_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c1_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X5 )
              | ( c3_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp3 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ~ ( c0_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp4 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c2_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ( c3_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | hskp5 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c1_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c2_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | hskp6 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c0_1 @ X20 ) ) ) )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | hskp0 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp7 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c0_1 @ X26 ) ) )
        | hskp4 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp8 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | hskp9
        | hskp10 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | hskp8
        | hskp7 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c3_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp11 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | hskp7 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ~ ( c0_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X42 )
              | ~ ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp6 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | hskp6
        | hskp12 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ~ ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c0_1 @ X46 ) ) ) )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp11 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp13 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp8 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ~ ( c0_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | hskp14 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) ) )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp15 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c1_1 @ X62 ) ) )
        | hskp9 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 ) ) )
        | hskp13 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | hskp27 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c1_1 @ X68 ) ) )
        | hskp16 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp12 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | hskp17 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp28
        | hskp8 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp10
        | hskp18 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp19 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | hskp20 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | hskp10 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | hskp29
        | hskp21 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp6 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c1_1 @ X85 ) ) )
        | hskp22 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) ) )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp23 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp24
        | hskp15 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c2_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X93 )
              | ~ ( c1_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) ) )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ( c3_1 @ X94 )
              | ~ ( c0_1 @ X94 ) ) )
        | hskp3
        | hskp25 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c2_1 @ X96 ) ) )
        | hskp15 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c1_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp6 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | hskp8
        | hskp26 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) )
        | hskp6
        | hskp13 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp23
        | hskp3 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ~ ( c1_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp6
        | hskp22 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | hskp4
        | hskp19 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp17 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp23
        | hskp4 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 ) ) )
        | hskp9
        | hskp12 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 )
              | ~ ( c2_1 @ X108 ) ) )
        | hskp7 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp24
        | hskp3 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp26
        | hskp19 )
      & ( hskp29
        | hskp23
        | hskp13 )
      & ( hskp29
        | hskp12
        | hskp5 )
      & ( hskp29
        | hskp3
        | hskp26 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp7
        | hskp26 )
      & ( hskp22
        | hskp14
        | hskp12 )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( hskp24
        | hskp25
        | hskp19 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1000 )
        & ( c2_1 @ a1000 )
        & ~ ( c3_1 @ a1000 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a1001 )
        & ( c3_1 @ a1001 )
        & ~ ( c1_1 @ a1001 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a1002 )
        & ( c2_1 @ a1002 )
        & ~ ( c1_1 @ a1002 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1003 )
        & ~ ( c0_1 @ a1003 )
        & ~ ( c2_1 @ a1003 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1004 )
        & ( c2_1 @ a1004 )
        & ~ ( c3_1 @ a1004 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c1_1 @ a1005 )
        & ~ ( c2_1 @ a1005 )
        & ~ ( c3_1 @ a1005 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a1006 )
        & ( c3_1 @ a1006 )
        & ~ ( c2_1 @ a1006 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a1008 )
        & ~ ( c1_1 @ a1008 )
        & ~ ( c3_1 @ a1008 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1010 )
        & ( c3_1 @ a1010 )
        & ~ ( c1_1 @ a1010 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a1011 )
        & ( c1_1 @ a1011 )
        & ~ ( c2_1 @ a1011 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a1012 )
        & ~ ( c1_1 @ a1012 )
        & ~ ( c3_1 @ a1012 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c3_1 @ a1015 )
        & ~ ( c0_1 @ a1015 )
        & ~ ( c1_1 @ a1015 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a1019 )
        & ( c2_1 @ a1019 )
        & ~ ( c0_1 @ a1019 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a1023 )
        & ~ ( c1_1 @ a1023 )
        & ~ ( c2_1 @ a1023 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a1025 )
        & ~ ( c2_1 @ a1025 )
        & ~ ( c3_1 @ a1025 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a1026 )
        & ~ ( c0_1 @ a1026 )
        & ~ ( c1_1 @ a1026 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a1030 )
        & ~ ( c2_1 @ a1030 )
        & ~ ( c3_1 @ a1030 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a1032 )
        & ( c3_1 @ a1032 )
        & ~ ( c0_1 @ a1032 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a1036 )
        & ( c3_1 @ a1036 )
        & ~ ( c2_1 @ a1036 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a1037 )
        & ~ ( c1_1 @ a1037 )
        & ~ ( c3_1 @ a1037 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c0_1 @ a1038 )
        & ~ ( c1_1 @ a1038 )
        & ~ ( c2_1 @ a1038 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a1041 )
        & ~ ( c0_1 @ a1041 )
        & ~ ( c3_1 @ a1041 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a1043 )
        & ~ ( c1_1 @ a1043 )
        & ~ ( c2_1 @ a1043 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a1044 )
        & ( c1_1 @ a1044 )
        & ~ ( c3_1 @ a1044 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a1045 )
        & ( c3_1 @ a1045 )
        & ~ ( c0_1 @ a1045 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a1048 )
        & ~ ( c0_1 @ a1048 )
        & ~ ( c3_1 @ a1048 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c3_1 @ a1052 )
        & ~ ( c0_1 @ a1052 )
        & ~ ( c2_1 @ a1052 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1029 )
        & ( c2_1 @ a1029 )
        & ( c3_1 @ a1029 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1033 )
        & ( c1_1 @ a1033 )
        & ( c2_1 @ a1033 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a1040 )
        & ( c1_1 @ a1040 )
        & ( c3_1 @ a1040 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | hskp0
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c2_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ~ ( c0_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c1_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X5 )
            | ( c3_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp3 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ~ ( c0_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp4 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c2_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ( c3_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | hskp5 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c1_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c2_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | hskp6 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c0_1 @ X20 ) ) ) )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | hskp0 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp7 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c0_1 @ X26 ) ) )
      | hskp4 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp8 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | hskp9
      | hskp10 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | hskp8
      | hskp7 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c3_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp11 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | hskp7 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ~ ( c0_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X42 )
            | ~ ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp6 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | hskp6
      | hskp12 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ~ ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c0_1 @ X46 ) ) ) )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp11 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp13 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp8 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ~ ( c0_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | hskp14 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) ) )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp15 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c1_1 @ X62 ) ) )
      | hskp9 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 ) ) )
      | hskp13 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | hskp27 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c1_1 @ X68 ) ) )
      | hskp16 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp12 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | hskp17 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp28
      | hskp8 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp10
      | hskp18 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp19 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | hskp20 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | hskp10 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | hskp29
      | hskp21 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp6 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c1_1 @ X85 ) ) )
      | hskp22 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) ) )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp23 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp24
      | hskp15 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c2_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X93 )
            | ~ ( c1_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) ) )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ( c3_1 @ X94 )
            | ~ ( c0_1 @ X94 ) ) )
      | hskp3
      | hskp25 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c2_1 @ X96 ) ) )
      | hskp15 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c1_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp6 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | hskp8
      | hskp26 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) )
      | hskp6
      | hskp13 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp23
      | hskp3 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ~ ( c1_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp6
      | hskp22 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | hskp4
      | hskp19 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp17 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp23
      | hskp4 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 ) ) )
      | hskp9
      | hskp12 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 )
            | ~ ( c2_1 @ X108 ) ) )
      | hskp7 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp24
      | hskp3 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1008 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( c3_1 @ a1008 )
   <= ~ ( c3_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl14,plain,
    ! [X5: $i,X6: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl866,plain,
    ( ( ~ ( c0_1 @ a1008 )
      | ~ ( c2_1 @ a1008 ) )
   <= ( ~ ( c3_1 @ a1008 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl239]) ).

thf('0',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c0_1 @ a1008 )
    | ~ ( c2_1 @ a1008 )
    | ( c3_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf(zip_derived_cl46,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl651_001,plain,
    ( ~ ( c3_1 @ a1008 )
   <= ~ ( c3_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1778,plain,
    ( ( ~ ( c2_1 @ a1008 )
      | ( c0_1 @ a1008 ) )
   <= ( ~ ( c3_1 @ a1008 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl651]) ).

thf('1',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c0_1 @ a1008 )
    | ( c3_1 @ a1008 )
    | ~ ( c2_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl1778]) ).

thf(zip_derived_cl66,plain,
    ! [X103: $i,X104: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0
      | ( c2_1 @ X104 )
      | ~ ( c0_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl446,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl933,plain,
    ( ~ ( c0_1 @ a1008 )
   <= ~ ( c0_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf(zip_derived_cl2010,plain,
    ( ( ~ ( c2_1 @ a1008 )
      | ( c1_1 @ a1008 ) )
   <= ( ~ ( c0_1 @ a1008 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl933]) ).

thf('2',plain,
    ( ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ( c0_1 @ a1008 )
    | ( c1_1 @ a1008 )
    | ~ ( c2_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl2010]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp23
    | ( c0_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c0_1 @ a1044 )
   <= ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl18,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | hskp6
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1281,plain,
    ( ( ( c2_1 @ a1044 )
      | ~ ( c1_1 @ a1044 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl254]) ).

thf('3',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ( c2_1 @ a1044 )
    | ~ ( c1_1 @ a1044 )
    | ~ ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl1281]) ).

thf(zip_derived_cl365_002,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a1004 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c3_1 @ a1004 )
   <= ~ ( c3_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1776,plain,
    ( ( ~ ( c2_1 @ a1004 )
      | ( c0_1 @ a1004 ) )
   <= ( ~ ( c3_1 @ a1004 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl675]) ).

thf('4',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c0_1 @ a1004 )
    | ( c3_1 @ a1004 )
    | ~ ( c2_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl675_003,plain,
    ( ~ ( c3_1 @ a1004 )
   <= ~ ( c3_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl239_004,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl886,plain,
    ( ( ~ ( c0_1 @ a1004 )
      | ~ ( c2_1 @ a1004 ) )
   <= ( ~ ( c3_1 @ a1004 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl675,zip_derived_cl239]) ).

thf('5',plain,
    ( ~ ( c0_1 @ a1004 )
    | ( c3_1 @ a1004 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl886]) ).

thf(zip_derived_cl60,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ndr1_0
      | ( c0_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | hskp0
    | ~ ndr1_0
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp2
    | ( c0_1 @ a1002 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl687,plain,
    ( ( c0_1 @ a1002 )
   <= ( c0_1 @ a1002 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl239_005,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp26
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl763,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl219]) ).

thf(zip_derived_cl768,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl1458,plain,
    ( ~ ( c2_1 @ a1002 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1002 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl768]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp2
    | ( c2_1 @ a1002 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ( ( c2_1 @ a1002 )
   <= ( c2_1 @ a1002 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('7',plain,
    ( ~ ( c0_1 @ a1002 )
    | ~ ( c2_1 @ a1002 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1458,zip_derived_cl689]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp0
    | ( c0_1 @ a1000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c0_1 @ a1000 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp0
    | ( c2_1 @ a1000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( c2_1 @ a1000 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a1000 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c3_1 @ a1000 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( c3_1 @ a1000 )
   <= ~ ( c3_1 @ a1000 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl239_006,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl902,plain,
    ( ( ~ ( c0_1 @ a1000 )
      | ~ ( c2_1 @ a1000 ) )
   <= ( ~ ( c3_1 @ a1000 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl239]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a1000 )
    | ( c3_1 @ a1000 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1000 ) ),
    inference(split,[status(esa)],[zip_derived_cl902]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp1
    | ( c3_1 @ a1001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ( c3_1 @ a1001 )
   <= ( c3_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl219_007,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1468,plain,
    ( ( ~ ( c0_1 @ a1001 )
      | ~ ( c2_1 @ a1001 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1001 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl219]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a1001 )
    | ~ ( c2_1 @ a1001 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

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

thf('13',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl365_008,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a1048 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl507,plain,
    ( ~ ( c3_1 @ a1048 )
   <= ~ ( c3_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1785,plain,
    ( ( ~ ( c2_1 @ a1048 )
      | ( c0_1 @ a1048 ) )
   <= ( ~ ( c3_1 @ a1048 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl507]) ).

thf('14',plain,
    ( ~ ( c2_1 @ a1048 )
    | ( c0_1 @ a1048 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c3_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl1785]) ).

thf(zip_derived_cl55,plain,
    ! [X80: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl401,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a1048 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ~ ( c0_1 @ a1048 )
   <= ~ ( c0_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1922,plain,
    ( ( ~ ( c1_1 @ a1048 )
      | ( c2_1 @ a1048 ) )
   <= ( ~ ( c0_1 @ a1048 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl505]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a1048 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
    | ( c2_1 @ a1048 )
    | ( c0_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl1922]) ).

thf(zip_derived_cl22,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp3
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ~ ( c3_1 @ a1044 )
   <= ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl998,plain,
    ( ( ~ ( c0_1 @ a1044 )
      | ( c2_1 @ a1044 ) )
   <= ( ~ ( c3_1 @ a1044 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl523]) ).

thf('16',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a1044 )
    | ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl998]) ).

thf(zip_derived_cl519_009,plain,
    ( ( c0_1 @ a1044 )
   <= ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl768_010,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl1279,plain,
    ( ~ ( c2_1 @ a1044 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl768]) ).

thf(zip_derived_cl1121,plain,
    ( ( c2_1 @ a1044 )
   <= ( c2_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl998]) ).

thf('17',plain,
    ( ~ ( c2_1 @ a1044 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c0_1 @ a1044 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1279,zip_derived_cl1121]) ).

thf(zip_derived_cl21,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( hskp15
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl519_011,plain,
    ( ( c0_1 @ a1044 )
   <= ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl227,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_cl11]) ).

thf(zip_derived_cl1280,plain,
    ( ( ~ ( c1_1 @ a1044 )
      | ~ ( c2_1 @ a1044 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl227]) ).

thf('19',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1044 )
    | ~ ( c0_1 @ a1044 )
    | ~ ( c1_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl1280]) ).

thf(zip_derived_cl239_012,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl523_013,plain,
    ( ~ ( c3_1 @ a1044 )
   <= ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl764,plain,
    ( ( ~ ( c2_1 @ a1044 )
      | ~ ( c0_1 @ a1044 ) )
   <= ( ~ ( c3_1 @ a1044 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl523]) ).

thf('20',plain,
    ( ~ ( c2_1 @ a1044 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl764]) ).

thf(zip_derived_cl267,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl523_014,plain,
    ( ~ ( c3_1 @ a1044 )
   <= ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl959,plain,
    ( ( ~ ( c1_1 @ a1044 )
      | ( c2_1 @ a1044 ) )
   <= ( ~ ( c3_1 @ a1044 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl523]) ).

thf('21',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a1044 )
    | ( c3_1 @ a1044 )
    | ~ ( c1_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl959]) ).

thf(zip_derived_cl523_015,plain,
    ( ~ ( c3_1 @ a1044 )
   <= ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl13,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp23
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl759,plain,
    ( ( ~ ( c1_1 @ a1044 )
      | ~ ( c2_1 @ a1044 ) )
   <= ( ~ ( c3_1 @ a1044 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl523,zip_derived_cl234]) ).

thf('22',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a1044 )
    | ( c3_1 @ a1044 )
    | ~ ( c1_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl759]) ).

thf(zip_derived_cl2415,plain,
    ( ~ ( c0_1 @ a1001 )
   <= ~ ( c0_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl446_016,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl2419,plain,
    ( ( ( c1_1 @ a1001 )
      | ~ ( c2_1 @ a1001 ) )
   <= ( ~ ( c0_1 @ a1001 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2415,zip_derived_cl446]) ).

thf('23',plain,
    ( ~ ( c2_1 @ a1001 )
    | ( c1_1 @ a1001 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ( c0_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl2419]) ).

thf(zip_derived_cl26,plain,
    ! [X22: $i,X23: $i,X24: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl555,plain,
    ( ~ ( c3_1 @ a1037 )
   <= ~ ( c3_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1437,plain,
    ( ( ( c2_1 @ a1037 )
      | ( c1_1 @ a1037 ) )
   <= ( ~ ( c3_1 @ a1037 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl555]) ).

thf('25',plain,
    ( ( c2_1 @ a1037 )
    | ( c1_1 @ a1037 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) )
    | ( c3_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl1437]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ ( c0_1 @ a1037 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a1037 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('28',plain,
    ( ~ ( c3_1 @ a1037 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl36,plain,
    ! [X40: $i,X41: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
    | hskp12
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl15,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp4
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( hskp19
    | hskp4
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp8
    | ( c0_1 @ a1010 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ( c0_1 @ a1010 )
   <= ( c0_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl28,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ( c1_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1393,plain,
    ( ( ( c1_1 @ a1010 )
      | ~ ( c2_1 @ a1010 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c0_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl294]) ).

thf('31',plain,
    ( ~ ( c2_1 @ a1010 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c1_1 @ a1010 )
    | ~ ( c0_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl4541,plain,
    ( ( c0_1 @ a1004 )
   <= ( c0_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl227_017,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_cl11]) ).

thf(zip_derived_cl4564,plain,
    ( ( ~ ( c1_1 @ a1004 )
      | ~ ( c2_1 @ a1004 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1004 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4541,zip_derived_cl227]) ).

thf('32',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1004 )
    | ~ ( c1_1 @ a1004 )
    | ~ ( c2_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl4564]) ).

thf(zip_derived_cl49,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ndr1_0
      | hskp6
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl377,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl675_018,plain,
    ( ~ ( c3_1 @ a1004 )
   <= ~ ( c3_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1822,plain,
    ( ( ~ ( c1_1 @ a1004 )
      | ( c0_1 @ a1004 ) )
   <= ( ~ ( c3_1 @ a1004 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c1_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl675]) ).

thf('33',plain,
    ( ( c0_1 @ a1004 )
    | ( c3_1 @ a1004 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c1_1 @ X67 ) )
    | ~ ( c1_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl1822]) ).

thf(zip_derived_cl56,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp10
    | hskp9
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl58,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ndr1_0
      | ( c1_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ( c0_1 @ X85 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( hskp4
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp10
    | ( c0_1 @ a1012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ( c0_1 @ a1012 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c1_1 @ a1012 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a1012 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ ( c3_1 @ a1012 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl29,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ndr1_0
      | hskp29
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c3_1 @ a1012 )
   <= ~ ( c3_1 @ a1012 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1183,plain,
    ( ( ~ ( c0_1 @ a1012 )
      | ( c1_1 @ a1012 ) )
   <= ( ~ ( c3_1 @ a1012 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c0_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl627]) ).

thf('39',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c0_1 @ X29 ) )
    | ( c1_1 @ a1012 )
    | ( c3_1 @ a1012 )
    | ~ ( c0_1 @ a1012 ) ),
    inference(split,[status(esa)],[zip_derived_cl1183]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp24
    | ( c3_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl285,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1275,plain,
    ( ( ~ ( c1_1 @ a1045 )
      | ~ ( c2_1 @ a1045 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl285]) ).

thf('40',plain,
    ( ~ ( c2_1 @ a1045 )
    | ~ ( c1_1 @ a1045 )
    | ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl1275]) ).

thf(zip_derived_cl513_019,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl41,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl346,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_cl41]) ).

thf(zip_derived_cl1538,plain,
    ( ( ( c0_1 @ a1045 )
      | ~ ( c1_1 @ a1045 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl346]) ).

thf('41',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a1045 )
    | ~ ( c3_1 @ a1045 )
    | ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl1538]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp24
    | ( c1_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c1_1 @ a1045 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('43',plain,
    ( ( c3_1 @ a1045 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ ( c0_1 @ a1045 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp24
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp24
    | hskp3
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl513_020,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl40,plain,
    ! [X48: $i,X49: $i] :
      ( ( c0_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c2_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1507,plain,
    ( ( ( c0_1 @ a1045 )
      | ~ ( c2_1 @ a1045 ) )
   <= ( ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl342]) ).

thf('46',plain,
    ( ~ ( c2_1 @ a1045 )
    | ~ ( c3_1 @ a1045 )
    | ~ ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl1507]) ).

thf(zip_derived_cl401_021,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl515,plain,
    ( ~ ( c0_1 @ a1045 )
   <= ~ ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1921,plain,
    ( ( ~ ( c1_1 @ a1045 )
      | ( c2_1 @ a1045 ) )
   <= ( ~ ( c0_1 @ a1045 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl515]) ).

thf('47',plain,
    ( ( c2_1 @ a1045 )
    | ~ ( c1_1 @ a1045 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
    | ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl1921]) ).

thf(zip_derived_cl50,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) )
    | hskp6
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl20,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp6
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp27
    | ( c0_1 @ a1029 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c0_1 @ a1029 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp27
    | ( c2_1 @ a1029 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ hskp27
    | ( c2_1 @ a1029 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp27
    | ( c3_1 @ a1029 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ( c3_1 @ a1029 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl491,plain,
    ( ( c3_1 @ a1029 )
   <= ( c3_1 @ a1029 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl219_022,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1252,plain,
    ( ( ~ ( c0_1 @ a1029 )
      | ~ ( c2_1 @ a1029 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1029 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl219]) ).

thf('53',plain,
    ( ~ ( c2_1 @ a1029 )
    | ~ ( c0_1 @ a1029 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1029 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp17
    | ( c3_1 @ a1032 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ( c3_1 @ a1032 )
   <= ( c3_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl346_023,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_cl41]) ).

thf(zip_derived_cl1536,plain,
    ( ( ( c0_1 @ a1032 )
      | ~ ( c1_1 @ a1032 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a1032 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl346]) ).

thf('54',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a1032 )
    | ~ ( c3_1 @ a1032 )
    | ( c0_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl1536]) ).

thf(zip_derived_cl569_024,plain,
    ( ( c3_1 @ a1032 )
   <= ( c3_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl285_025,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1313,plain,
    ( ( ~ ( c1_1 @ a1032 )
      | ~ ( c2_1 @ a1032 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a1032 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl285]) ).

thf('55',plain,
    ( ~ ( c1_1 @ a1032 )
    | ~ ( c3_1 @ a1032 )
    | ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c2_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl1313]) ).

thf(zip_derived_cl569_026,plain,
    ( ( c3_1 @ a1032 )
   <= ( c3_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl23,plain,
    ! [X17: $i,X18: $i,X19: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ( c3_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1311,plain,
    ( ( ( c1_1 @ a1032 )
      | ~ ( c2_1 @ a1032 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1032 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl276]) ).

thf('56',plain,
    ( ( c1_1 @ a1032 )
    | ~ ( c3_1 @ a1032 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl1311]) ).

thf('57',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp17
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp28
    | ( c2_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ( c2_1 @ a1033 )
   <= ( c2_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp28
    | ( c0_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    ( ( c0_1 @ a1033 )
   <= ( c0_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl768_027,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl1225,plain,
    ( ~ ( c2_1 @ a1033 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1033 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl768]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a1033 )
    | ~ ( c2_1 @ a1033 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl1225]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp14
    | ( c0_1 @ a1025 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ( c0_1 @ a1025 )
   <= ( c0_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl254_028,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1323,plain,
    ( ( ( c2_1 @ a1025 )
      | ~ ( c1_1 @ a1025 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a1025 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl254]) ).

thf('59',plain,
    ( ~ ( c1_1 @ a1025 )
    | ( c2_1 @ a1025 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c0_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf('60',plain,
    ( hskp13
    | hskp6
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp9
    | ( c0_1 @ a1011 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( c0_1 @ a1011 )
   <= ( c0_1 @ a1011 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl254_029,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1385,plain,
    ( ( ( c2_1 @ a1011 )
      | ~ ( c1_1 @ a1011 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a1011 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl254]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a1011 )
    | ( c2_1 @ a1011 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a1011 ) ),
    inference(split,[status(esa)],[zip_derived_cl1385]) ).

thf(zip_derived_cl67,plain,
    ! [X105: $i,X106: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ndr1_0
      | ( c2_1 @ X106 )
      | ( c3_1 @ X106 )
      | ~ ( c1_1 @ X106 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( hskp3
    | ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('63',plain,
    ( ( c0_1 @ a1011 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp9
    | ( c1_1 @ a1011 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c1_1 @ a1011 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a1011 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ~ ( c2_1 @ a1011 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl446_030,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1032 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c0_1 @ a1032 )
   <= ~ ( c0_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2017,plain,
    ( ( ~ ( c2_1 @ a1032 )
      | ( c1_1 @ a1032 ) )
   <= ( ~ ( c0_1 @ a1032 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl571]) ).

thf('66',plain,
    ( ( c1_1 @ a1032 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ( c0_1 @ a1032 )
    | ~ ( c2_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl2017]) ).

thf('67',plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
    | hskp9
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl43,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ( c2_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl354,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl571_031,plain,
    ( ~ ( c0_1 @ a1032 )
   <= ~ ( c0_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1600,plain,
    ( ( ~ ( c2_1 @ a1032 )
      | ~ ( c1_1 @ a1032 ) )
   <= ( ~ ( c0_1 @ a1032 )
      & ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl571]) ).

thf('68',plain,
    ( ~ ( c2_1 @ a1032 )
    | ( c0_1 @ a1032 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c1_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl1600]) ).

thf(zip_derived_cl569_032,plain,
    ( ( c3_1 @ a1032 )
   <= ( c3_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl342_033,plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1505,plain,
    ( ( ( c0_1 @ a1032 )
      | ~ ( c2_1 @ a1032 ) )
   <= ( ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
      & ( c3_1 @ a1032 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl342]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a1032 )
    | ( c0_1 @ a1032 )
    | ~ ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ~ ( c2_1 @ a1032 ) ),
    inference(split,[status(esa)],[zip_derived_cl1505]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp17
    | ( c2_1 @ a1032 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ( c2_1 @ a1032 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('71',plain,
    ( ( c3_1 @ a1032 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('72',plain,
    ( ~ ( c0_1 @ a1032 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('73',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
    | hskp17
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1030 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl579,plain,
    ( ~ ( c3_1 @ a1030 )
   <= ~ ( c3_1 @ a1030 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl242,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl815,plain,
    ( ( ~ ( c0_1 @ a1030 )
      | ~ ( c1_1 @ a1030 ) )
   <= ( ~ ( c3_1 @ a1030 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl579,zip_derived_cl242]) ).

thf('74',plain,
    ( ( c3_1 @ a1030 )
    | ~ ( c0_1 @ a1030 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a1030 ) ),
    inference(split,[status(esa)],[zip_derived_cl815]) ).

thf(zip_derived_cl377_034,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl579_035,plain,
    ( ~ ( c3_1 @ a1030 )
   <= ~ ( c3_1 @ a1030 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1827,plain,
    ( ( ~ ( c1_1 @ a1030 )
      | ( c0_1 @ a1030 ) )
   <= ( ~ ( c3_1 @ a1030 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c1_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl579]) ).

thf('75',plain,
    ( ( c0_1 @ a1030 )
    | ( c3_1 @ a1030 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c1_1 @ X67 ) )
    | ~ ( c1_1 @ a1030 ) ),
    inference(split,[status(esa)],[zip_derived_cl1827]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp16
    | ( c1_1 @ a1030 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c1_1 @ a1030 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('77',plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1030 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl37,plain,
    ! [X42: $i,X43: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c2_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
    | hskp16
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl322_036,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl667,plain,
    ( ~ ( c3_1 @ a1005 )
   <= ~ ( c3_1 @ a1005 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1432,plain,
    ( ( ( c2_1 @ a1005 )
      | ( c1_1 @ a1005 ) )
   <= ( ~ ( c3_1 @ a1005 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl667]) ).

thf('79',plain,
    ( ( c1_1 @ a1005 )
    | ( c3_1 @ a1005 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) )
    | ( c2_1 @ a1005 ) ),
    inference(split,[status(esa)],[zip_derived_cl1432]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a1005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a1005 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1005 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1005 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('82',plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1005 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl7,plain,
    ( hskp29
    | hskp12
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( hskp29
    | hskp12
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('84',plain,
    ( hskp6
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c1_1 @ X67 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1019 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c0_1 @ a1019 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl354_037,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c0_1 @ a1019 )
   <= ~ ( c0_1 @ a1019 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1596,plain,
    ( ( ~ ( c2_1 @ a1019 )
      | ~ ( c1_1 @ a1019 ) )
   <= ( ~ ( c0_1 @ a1019 )
      & ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl611]) ).

thf('86',plain,
    ( ~ ( c1_1 @ a1019 )
    | ( c0_1 @ a1019 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c2_1 @ a1019 ) ),
    inference(split,[status(esa)],[zip_derived_cl1596]) ).

thf('87',plain,
    ( hskp25
    | hskp3
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl267_038,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl507_039,plain,
    ( ~ ( c3_1 @ a1048 )
   <= ~ ( c3_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl960,plain,
    ( ( ~ ( c1_1 @ a1048 )
      | ( c2_1 @ a1048 ) )
   <= ( ~ ( c3_1 @ a1048 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl507]) ).

thf('88',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a1048 )
    | ( c3_1 @ a1048 )
    | ~ ( c1_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl960]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp25
    | ( c1_1 @ a1048 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c1_1 @ a1048 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a1048 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('91',plain,
    ( ~ ( c3_1 @ a1048 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl354_040,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl505_041,plain,
    ( ~ ( c0_1 @ a1048 )
   <= ~ ( c0_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1606,plain,
    ( ( ~ ( c2_1 @ a1048 )
      | ~ ( c1_1 @ a1048 ) )
   <= ( ~ ( c0_1 @ a1048 )
      & ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl505]) ).

thf('92',plain,
    ( ~ ( c2_1 @ a1048 )
    | ~ ( c1_1 @ a1048 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ( c0_1 @ a1048 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf(zip_derived_cl44,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c1_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('94',plain,
    ( hskp7
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl697_042,plain,
    ( ( c3_1 @ a1001 )
   <= ( c3_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl276_043,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1471,plain,
    ( ( ( c1_1 @ a1001 )
      | ~ ( c2_1 @ a1001 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1001 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl276]) ).

thf('95',plain,
    ( ~ ( c3_1 @ a1001 )
    | ( c1_1 @ a1001 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf(zip_derived_cl479_044,plain,
    ( ( c0_1 @ a1033 )
   <= ( c0_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl227_045,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_cl11]) ).

thf(zip_derived_cl1226,plain,
    ( ( ~ ( c1_1 @ a1033 )
      | ~ ( c2_1 @ a1033 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1033 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl227]) ).

thf('96',plain,
    ( ~ ( c1_1 @ a1033 )
    | ~ ( c0_1 @ a1033 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl1226]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp1
    | ( c2_1 @ a1001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ hskp1
    | ( c2_1 @ a1001 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('98',plain,
    ( ( c3_1 @ a1001 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1001 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ~ ( c1_1 @ a1001 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf('100',plain,
    ( ( c0_1 @ a1033 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp28
    | ( c1_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ( c1_1 @ a1033 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('102',plain,
    ( ~ hskp28
    | ( c2_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf('103',plain,
    ( hskp2
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl34,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( hskp8
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl365_046,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a1041 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539,plain,
    ( ~ ( c3_1 @ a1041 )
   <= ~ ( c3_1 @ a1041 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1783,plain,
    ( ( ~ ( c2_1 @ a1041 )
      | ( c0_1 @ a1041 ) )
   <= ( ~ ( c3_1 @ a1041 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl539]) ).

thf('105',plain,
    ( ~ ( c2_1 @ a1041 )
    | ( c0_1 @ a1041 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c3_1 @ a1041 ) ),
    inference(split,[status(esa)],[zip_derived_cl1783]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp13
    | ( c3_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c3_1 @ a1023 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ~ ( c1_1 @ a1023 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ ( c2_1 @ a1023 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl599,plain,
    ( ( c3_1 @ a1023 )
   <= ( c3_1 @ a1023 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl33,plain,
    ! [X36: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp10
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl313,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1349,plain,
    ( ( ( c1_1 @ a1023 )
      | ( c2_1 @ a1023 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a1023 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl313]) ).

thf('109',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ~ ( c3_1 @ a1023 )
    | ( c1_1 @ a1023 )
    | ( c2_1 @ a1023 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp21
    | ( c2_1 @ a1041 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ hskp21
    | ( c2_1 @ a1041 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1041 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c0_1 @ a1041 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('112',plain,
    ( ~ ( c3_1 @ a1041 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl38,plain,
    ! [X44: $i,X45: $i] :
      ( ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ( c3_1 @ X44 )
      | ~ ndr1_0
      | ( c1_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | hskp27
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl39,plain,
    ! [X46: $i,X47: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c1_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
    | hskp13
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('115',plain,
    ( hskp21
    | hskp29
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl322_047,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a1025 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595,plain,
    ( ~ ( c3_1 @ a1025 )
   <= ~ ( c3_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1435,plain,
    ( ( ( c2_1 @ a1025 )
      | ( c1_1 @ a1025 ) )
   <= ( ~ ( c3_1 @ a1025 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl595]) ).

thf('116',plain,
    ( ( c1_1 @ a1025 )
    | ( c3_1 @ a1025 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ( c3_1 @ X38 ) )
    | ( c2_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl1435]) ).

thf(zip_derived_cl297_048,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c0_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl595_049,plain,
    ( ~ ( c3_1 @ a1025 )
   <= ~ ( c3_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1184,plain,
    ( ( ~ ( c0_1 @ a1025 )
      | ( c1_1 @ a1025 ) )
   <= ( ~ ( c3_1 @ a1025 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c0_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl595]) ).

thf('117',plain,
    ( ( c1_1 @ a1025 )
    | ( c3_1 @ a1025 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c0_1 @ X29 ) )
    | ~ ( c0_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl1184]) ).

thf(zip_derived_cl267_050,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl595_051,plain,
    ( ~ ( c3_1 @ a1025 )
   <= ~ ( c3_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl955,plain,
    ( ( ~ ( c1_1 @ a1025 )
      | ( c2_1 @ a1025 ) )
   <= ( ~ ( c3_1 @ a1025 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl595]) ).

thf('118',plain,
    ( ( c3_1 @ a1025 )
    | ~ ( c1_1 @ a1025 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ( c2_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl955]) ).

thf(zip_derived_cl270_052,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl595_053,plain,
    ( ~ ( c3_1 @ a1025 )
   <= ~ ( c3_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl994,plain,
    ( ( ~ ( c0_1 @ a1025 )
      | ( c2_1 @ a1025 ) )
   <= ( ~ ( c3_1 @ a1025 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl595]) ).

thf('119',plain,
    ( ( c3_1 @ a1025 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a1025 )
    | ~ ( c0_1 @ a1025 ) ),
    inference(split,[status(esa)],[zip_derived_cl994]) ).

thf(zip_derived_cl132,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl132]) ).

thf('121',plain,
    ( ( c0_1 @ a1025 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a1025 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ ( c2_1 @ a1025 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('123',plain,
    ( ~ ( c3_1 @ a1025 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl4,plain,
    ( hskp27
    | hskp6
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( hskp6
    | hskp14
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp29
    | ( c3_1 @ a1040 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl475,plain,
    ( ( c3_1 @ a1040 )
   <= ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl219_054,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1218,plain,
    ( ( ~ ( c0_1 @ a1040 )
      | ~ ( c2_1 @ a1040 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl219]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a1040 )
    | ~ ( c3_1 @ a1040 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl1218]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp29
    | ( c0_1 @ a1040 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ( c0_1 @ a1040 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('127',plain,
    ( ( c3_1 @ a1040 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl475_055,plain,
    ( ( c3_1 @ a1040 )
   <= ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl17,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp23
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1220,plain,
    ( ( ( c2_1 @ a1040 )
      | ~ ( c0_1 @ a1040 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl250]) ).

thf('128',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a1040 )
    | ~ ( c3_1 @ a1040 )
    | ~ ( c0_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl1220]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp8
    | ( c3_1 @ a1010 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ( c3_1 @ a1010 )
   <= ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl219_056,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1396,plain,
    ( ( ~ ( c0_1 @ a1010 )
      | ~ ( c2_1 @ a1010 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl219]) ).

thf('129',plain,
    ( ~ ( c2_1 @ a1010 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1010 )
    | ~ ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1396]) ).

thf(zip_derived_cl641_057,plain,
    ( ( c3_1 @ a1010 )
   <= ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl250_058,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1398,plain,
    ( ( ( c2_1 @ a1010 )
      | ~ ( c0_1 @ a1010 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl250]) ).

thf('130',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a1010 )
    | ( c2_1 @ a1010 )
    | ~ ( c0_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf(zip_derived_cl42,plain,
    ! [X52: $i,X53: $i,X54: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c0_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp6
    | ( c0_1 @ a1006 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c0_1 @ a1006 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp6
    | ( c3_1 @ a1006 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c3_1 @ a1006 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a1006 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c2_1 @ a1006 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl657,plain,
    ( ( c3_1 @ a1006 )
   <= ( c3_1 @ a1006 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl250_059,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1414,plain,
    ( ( ( c2_1 @ a1006 )
      | ~ ( c0_1 @ a1006 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1006 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl657,zip_derived_cl250]) ).

thf('135',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a1006 )
    | ( c2_1 @ a1006 )
    | ~ ( c0_1 @ a1006 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf('136',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a1008 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c1_1 @ a1008 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('138',plain,
    ( ~ ( c3_1 @ a1008 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl57,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ndr1_0
      | ( c1_1 @ X83 )
      | ( c3_1 @ X83 )
      | ~ ( c2_1 @ X83 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( hskp8
    | ! [X74: $i] :
        ( ( c1_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('140',plain,
    ( hskp7
    | hskp8
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl401_060,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a1003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    ( ~ ( c0_1 @ a1003 )
   <= ~ ( c0_1 @ a1003 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1906,plain,
    ( ( ~ ( c1_1 @ a1003 )
      | ( c2_1 @ a1003 ) )
   <= ( ~ ( c0_1 @ a1003 )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl681]) ).

thf('141',plain,
    ( ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
    | ( c0_1 @ a1003 )
    | ( c2_1 @ a1003 )
    | ~ ( c1_1 @ a1003 ) ),
    inference(split,[status(esa)],[zip_derived_cl1906]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp3
    | ( c1_1 @ a1003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c1_1 @ a1003 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('143',plain,
    ( ~ ( c0_1 @ a1003 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a1003 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ~ ( c2_1 @ a1003 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('145',plain,
    ( ( c0_1 @ a1010 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('146',plain,
    ( ( c3_1 @ a1010 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1010 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ~ ( c1_1 @ a1010 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl641_061,plain,
    ( ( c3_1 @ a1010 )
   <= ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl24,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp24
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl278,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c1_1 @ a1010 )
      | ~ ( c0_1 @ a1010 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl278]) ).

thf('148',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a1010 )
    | ( c1_1 @ a1010 )
    | ~ ( c0_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf('149',plain,
    ( hskp23
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( hskp23
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl52,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl389,plain,
    ( ! [X74: $i] :
        ( ( c1_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c1_1 @ X74 )
        | ( c3_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl651_062,plain,
    ( ~ ( c3_1 @ a1008 )
   <= ~ ( c3_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1869,plain,
    ( ( ~ ( c2_1 @ a1008 )
      | ( c1_1 @ a1008 ) )
   <= ( ~ ( c3_1 @ a1008 )
      & ! [X74: $i] :
          ( ( c1_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl651]) ).

thf('151',plain,
    ( ~ ! [X74: $i] :
          ( ( c1_1 @ X74 )
          | ( c3_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c1_1 @ a1008 )
    | ~ ( c2_1 @ a1008 )
    | ( c3_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl1869]) ).

thf('152',plain,
    ( ( c0_1 @ a1044 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp23
    | ( c1_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c1_1 @ a1044 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a1044 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl242_063,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl523_064,plain,
    ( ~ ( c3_1 @ a1044 )
   <= ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl783,plain,
    ( ( ~ ( c1_1 @ a1044 )
      | ~ ( c0_1 @ a1044 ) )
   <= ( ~ ( c3_1 @ a1044 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl523]) ).

thf('155',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 )
    | ~ ( c1_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl783]) ).

thf(zip_derived_cl72,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl176,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl176]) ).

thf(zip_derived_cl6,plain,
    ( hskp29
    | hskp3
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( hskp26
    | hskp29
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp12
    | ( c1_1 @ a1019 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c1_1 @ a1019 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp12
    | ( c2_1 @ a1019 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ( c2_1 @ a1019 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl609,plain,
    ( ( c2_1 @ a1019 )
   <= ( c2_1 @ a1019 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl234_065,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl285_066,plain,
    ( ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1099,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl285]) ).

thf(zip_derived_cl1104,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1099]) ).

thf(zip_derived_cl1362,plain,
    ( ~ ( c1_1 @ a1019 )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c2_1 @ a1019 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl1104]) ).

thf(zip_derived_cl607,plain,
    ( ( c1_1 @ a1019 )
   <= ( c1_1 @ a1019 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('162',plain,
    ( ~ ( c1_1 @ a1019 )
    | ~ ( c2_1 @ a1019 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X24: $i] :
          ( ~ ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1362,zip_derived_cl607]) ).

thf(zip_derived_cl446_067,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl551,plain,
    ( ~ ( c0_1 @ a1037 )
   <= ~ ( c0_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl2018,plain,
    ( ( ~ ( c2_1 @ a1037 )
      | ( c1_1 @ a1037 ) )
   <= ( ~ ( c0_1 @ a1037 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl551]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a1037 )
    | ( c0_1 @ a1037 )
    | ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ( c1_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl2018]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp4
    | ( c1_1 @ a1004 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c1_1 @ a1004 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp4
    | ( c2_1 @ a1004 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c2_1 @ a1004 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('166',plain,
    ( ~ ( c3_1 @ a1004 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl675_068,plain,
    ( ~ ( c3_1 @ a1004 )
   <= ~ ( c3_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl234_069,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl885,plain,
    ( ( ~ ( c1_1 @ a1004 )
      | ~ ( c2_1 @ a1004 ) )
   <= ( ~ ( c3_1 @ a1004 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl675,zip_derived_cl234]) ).

thf('167',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a1004 )
    | ( c3_1 @ a1004 )
    | ~ ( c2_1 @ a1004 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf('168',plain,
    ( hskp4
    | ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('169',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl641_070,plain,
    ( ( c3_1 @ a1010 )
   <= ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl276_071,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1399,plain,
    ( ( ( c1_1 @ a1010 )
      | ~ ( c2_1 @ a1010 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl276]) ).

thf('170',plain,
    ( ~ ( c2_1 @ a1010 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ( c1_1 @ a1010 )
    | ~ ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1399]) ).

thf(zip_derived_cl641_072,plain,
    ( ( c3_1 @ a1010 )
   <= ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl313_073,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1402,plain,
    ( ( ( c1_1 @ a1010 )
      | ( c2_1 @ a1010 ) )
   <= ( ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
      & ( c3_1 @ a1010 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl313]) ).

thf('171',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a1010 )
    | ( c1_1 @ a1010 )
    | ~ ( c3_1 @ a1010 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf(zip_derived_cl59,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ndr1_0
      | ( c1_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( hskp7
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp7
    | ( c2_1 @ a1008 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ( c2_1 @ a1008 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('174',plain,
    ( ( c0_1 @ a1002 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('175',plain,
    ( ~ hskp2
    | ( c2_1 @ a1002 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a1002 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a1002 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl687_074,plain,
    ( ( c0_1 @ a1002 )
   <= ( c0_1 @ a1002 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl294_075,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1461,plain,
    ( ( ( c1_1 @ a1002 )
      | ~ ( c2_1 @ a1002 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c0_1 @ a1002 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl294]) ).

thf('177',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c0_1 @ a1002 )
    | ( c1_1 @ a1002 )
    | ~ ( c2_1 @ a1002 ) ),
    inference(split,[status(esa)],[zip_derived_cl1461]) ).

thf(zip_derived_cl4605,plain,
    ( ( c0_1 @ a1008 )
   <= ( c0_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl1778]) ).

thf(zip_derived_cl294_076,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl4630,plain,
    ( ( ( c1_1 @ a1008 )
      | ~ ( c2_1 @ a1008 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
      & ( c0_1 @ a1008 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4605,zip_derived_cl294]) ).

thf('178',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c0_1 @ a1008 )
    | ~ ( c2_1 @ a1008 )
    | ( c1_1 @ a1008 ) ),
    inference(split,[status(esa)],[zip_derived_cl4630]) ).

thf(zip_derived_cl68,plain,
    ! [X107: $i,X108: $i,X109: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c1_1 @ X108 )
      | ~ ( c0_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ndr1_0
      | ( c2_1 @ X109 )
      | ~ ( c0_1 @ X109 )
      | ~ ( c1_1 @ X109 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp15
    | ( c2_1 @ a1026 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c2_1 @ a1026 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a1026 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ~ ( c0_1 @ a1026 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1026 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ~ ( c1_1 @ a1026 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl446_077,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl585,plain,
    ( ~ ( c0_1 @ a1026 )
   <= ~ ( c0_1 @ a1026 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl2015,plain,
    ( ( ~ ( c2_1 @ a1026 )
      | ( c1_1 @ a1026 ) )
   <= ( ~ ( c0_1 @ a1026 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl585]) ).

thf('183',plain,
    ( ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a1026 )
    | ( c0_1 @ a1026 )
    | ( c1_1 @ a1026 ) ),
    inference(split,[status(esa)],[zip_derived_cl2015]) ).

thf(zip_derived_cl5338,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6kzTbYbySj true
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 18:17:42 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 5.26/1.35  % Solved by fo/fo1_av.sh.
% 5.26/1.35  % done 1739 iterations in 0.542s
% 5.26/1.35  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.26/1.35  % SZS output start Refutation
% See solution above
% 5.26/1.36  
% 5.26/1.36  
% 5.26/1.36  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.26/1.36  % Terminating...
% 5.75/1.46  % Runner terminated.
% 5.75/1.47  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------