TSTP Solution File: SYN498+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN498+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.52K1DBXwQw true

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:10 EDT 2023

% Result   : Theorem 19.40s 3.58s
% Output   : Refutation 19.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  830 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 5225 (   0 equ;   0 cnn)
%            Maximal formula atoms :  752 (   6 avg)
%            Number of connectives : 11309 (2680   ~;3283   |; 562   &;4167   @)
%                                         (   0 <=>; 238  =>; 379  <=;   0 <~>)
%            Maximal formula depth :  114 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  980 (   0   ^; 980   !;   0   ?; 980   :)

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

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

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

thf(a54_type,type,
    a54: $i ).

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

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

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

thf(a27_type,type,
    a27: $i ).

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

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

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

thf(a13_type,type,
    a13: $i ).

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

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

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

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

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

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

thf(a36_type,type,
    a36: $i ).

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

thf(a35_type,type,
    a35: $i ).

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

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

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

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

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

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

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

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

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

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

thf(a16_type,type,
    a16: $i ).

thf(a20_type,type,
    a20: $i ).

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

thf(a38_type,type,
    a38: $i ).

thf(a99_type,type,
    a99: $i ).

thf(a28_type,type,
    a28: $i ).

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

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

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

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

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

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

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

thf(a70_type,type,
    a70: $i ).

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

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

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

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

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

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

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

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

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

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

thf(a58_type,type,
    a58: $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(a3_type,type,
    a3: $i ).

thf(a12_type,type,
    a12: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a1 )
          & ( c2_1 @ a1 )
          & ~ ( c3_1 @ a1 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c0_1 @ a2 )
          & ~ ( c2_1 @ a2 )
          & ~ ( c3_1 @ a2 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a3 )
          & ( c3_1 @ a3 )
          & ~ ( c2_1 @ a3 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a7 )
          & ( c3_1 @ a7 )
          & ~ ( c2_1 @ a7 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a9 )
          & ~ ( c2_1 @ a9 )
          & ~ ( c3_1 @ a9 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a11 )
          & ~ ( c1_1 @ a11 )
          & ~ ( c2_1 @ a11 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c0_1 @ a13 )
          & ~ ( c1_1 @ a13 )
          & ~ ( c3_1 @ a13 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a14 )
          & ~ ( c0_1 @ a14 )
          & ~ ( c2_1 @ a14 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c1_1 @ a15 )
          & ~ ( c2_1 @ a15 )
          & ~ ( c3_1 @ a15 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a16 )
          & ( c1_1 @ a16 )
          & ~ ( c3_1 @ a16 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a18 )
          & ~ ( c0_1 @ a18 )
          & ~ ( c1_1 @ a18 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a19 )
          & ~ ( c0_1 @ a19 )
          & ~ ( c3_1 @ a19 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a20 )
          & ~ ( c1_1 @ a20 )
          & ~ ( c3_1 @ a20 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a21 )
          & ( c2_1 @ a21 )
          & ~ ( c3_1 @ a21 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a22 )
          & ( c3_1 @ a22 )
          & ~ ( c0_1 @ a22 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ ( c0_1 @ a24 )
          & ~ ( c1_1 @ a24 )
          & ~ ( c2_1 @ a24 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a27 )
          & ( c3_1 @ a27 )
          & ~ ( c1_1 @ a27 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a28 )
          & ~ ( c0_1 @ a28 )
          & ~ ( c2_1 @ a28 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a31 )
          & ~ ( c0_1 @ a31 )
          & ~ ( c3_1 @ a31 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a36 )
          & ( c3_1 @ a36 )
          & ~ ( c1_1 @ a36 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a37 )
          & ( c3_1 @ a37 )
          & ~ ( c0_1 @ a37 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a38 )
          & ( c1_1 @ a38 )
          & ~ ( c2_1 @ a38 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a42 )
          & ( c2_1 @ a42 )
          & ~ ( c1_1 @ a42 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a45 )
          & ~ ( c1_1 @ a45 )
          & ~ ( c2_1 @ a45 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c2_1 @ a58 )
          & ~ ( c0_1 @ a58 )
          & ~ ( c1_1 @ a58 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a70 )
          & ~ ( c1_1 @ a70 )
          & ~ ( c3_1 @ a70 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a99 )
          & ( c2_1 @ a99 )
          & ~ ( c0_1 @ a99 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a12 )
          & ( c1_1 @ a12 )
          & ( c3_1 @ a12 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a25 )
          & ( c2_1 @ a25 )
          & ( c3_1 @ a25 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a35 )
          & ( c1_1 @ a35 )
          & ( c2_1 @ a35 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a54 )
          & ( c2_1 @ a54 )
          & ( c3_1 @ a54 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c2_1 @ W )
              | ( c3_1 @ W )
              | ~ ( c1_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c3_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c1_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c3_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | hskp0
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X4 )
              | ( c2_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | hskp2 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ~ ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | hskp1 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | hskp3
        | hskp0 )
      & ( ! [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 )
              | ( c2_1 @ X10 )
              | ~ ( c0_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 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp4 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp0 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ( c2_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | hskp5 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X24 )
              | ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp27 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | hskp6 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ( c3_1 @ X27 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c0_1 @ X30 ) ) ) )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp9 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | hskp6 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | hskp10 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp11 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | hskp12 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp13
        | hskp14 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp5
        | hskp15 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp28
        | hskp7 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp16
        | hskp17 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c2_1 @ X49 )
              | ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp6 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ( c3_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | hskp3
        | hskp18 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | hskp11
        | hskp15 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ( c3_1 @ X56 ) ) )
        | hskp9 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp29
        | hskp19 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | hskp20 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp21
        | hskp17 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ( c3_1 @ X64 ) ) )
        | hskp21
        | hskp20 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) ) )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) ) )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp22
        | hskp20 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp22
        | hskp23 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp13
        | hskp18 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | hskp18 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp10
        | hskp1 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp12 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | hskp9
        | hskp15 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | hskp30
        | hskp12 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | hskp20 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp13
        | hskp24 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp4
        | hskp15 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp18
        | hskp23 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | hskp21
        | hskp4 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp22
        | hskp12 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) ) )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | hskp16
        | hskp14 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp5
        | hskp25 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 ) ) )
        | hskp24
        | hskp6 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | hskp29
        | hskp9 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | hskp9 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp28
        | hskp0 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp8 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | hskp21
        | hskp10 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | hskp6 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp7 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp19
        | hskp11 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X108 )
              | ~ ( c2_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp25 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp27
        | hskp16 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X110 )
              | ~ ( c1_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp30
        | hskp3 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp22
        | hskp0 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) )
        | hskp5
        | hskp25 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | hskp3
        | hskp24 )
      & ( hskp29
        | hskp26
        | hskp14 )
      & ( hskp27
        | hskp13
        | hskp8 )
      & ( hskp21
        | hskp13
        | hskp24 )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp16
        | hskp4
        | hskp2 )
      & ( hskp5
        | hskp25
        | hskp28 )
      & ( hskp4
        | hskp28
        | hskp19 )
      & ( hskp28
        | hskp20
        | hskp1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a1 )
        & ( c2_1 @ a1 )
        & ~ ( c3_1 @ a1 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c0_1 @ a2 )
        & ~ ( c2_1 @ a2 )
        & ~ ( c3_1 @ a2 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a3 )
        & ( c3_1 @ a3 )
        & ~ ( c2_1 @ a3 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a7 )
        & ( c3_1 @ a7 )
        & ~ ( c2_1 @ a7 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a9 )
        & ~ ( c2_1 @ a9 )
        & ~ ( c3_1 @ a9 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a11 )
        & ~ ( c1_1 @ a11 )
        & ~ ( c2_1 @ a11 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c0_1 @ a13 )
        & ~ ( c1_1 @ a13 )
        & ~ ( c3_1 @ a13 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a14 )
        & ~ ( c0_1 @ a14 )
        & ~ ( c2_1 @ a14 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c1_1 @ a15 )
        & ~ ( c2_1 @ a15 )
        & ~ ( c3_1 @ a15 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a16 )
        & ( c1_1 @ a16 )
        & ~ ( c3_1 @ a16 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a18 )
        & ~ ( c0_1 @ a18 )
        & ~ ( c1_1 @ a18 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a19 )
        & ~ ( c0_1 @ a19 )
        & ~ ( c3_1 @ a19 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a20 )
        & ~ ( c1_1 @ a20 )
        & ~ ( c3_1 @ a20 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a21 )
        & ( c2_1 @ a21 )
        & ~ ( c3_1 @ a21 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a22 )
        & ( c3_1 @ a22 )
        & ~ ( c0_1 @ a22 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ ( c0_1 @ a24 )
        & ~ ( c1_1 @ a24 )
        & ~ ( c2_1 @ a24 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a27 )
        & ( c3_1 @ a27 )
        & ~ ( c1_1 @ a27 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a28 )
        & ~ ( c0_1 @ a28 )
        & ~ ( c2_1 @ a28 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a31 )
        & ~ ( c0_1 @ a31 )
        & ~ ( c3_1 @ a31 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a36 )
        & ( c3_1 @ a36 )
        & ~ ( c1_1 @ a36 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a37 )
        & ( c3_1 @ a37 )
        & ~ ( c0_1 @ a37 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a38 )
        & ( c1_1 @ a38 )
        & ~ ( c2_1 @ a38 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a42 )
        & ( c2_1 @ a42 )
        & ~ ( c1_1 @ a42 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a45 )
        & ~ ( c1_1 @ a45 )
        & ~ ( c2_1 @ a45 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c2_1 @ a58 )
        & ~ ( c0_1 @ a58 )
        & ~ ( c1_1 @ a58 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a70 )
        & ~ ( c1_1 @ a70 )
        & ~ ( c3_1 @ a70 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a99 )
        & ( c2_1 @ a99 )
        & ~ ( c0_1 @ a99 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a12 )
        & ( c1_1 @ a12 )
        & ( c3_1 @ a12 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a25 )
        & ( c2_1 @ a25 )
        & ( c3_1 @ a25 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a35 )
        & ( c1_1 @ a35 )
        & ( c2_1 @ a35 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a54 )
        & ( c2_1 @ a54 )
        & ( c3_1 @ a54 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c2_1 @ W )
            | ( c3_1 @ W )
            | ~ ( c1_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c3_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c1_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c3_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | hskp0
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X4 )
            | ( c2_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | hskp2 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ~ ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | hskp1 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | hskp3
      | hskp0 )
    & ( ! [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 )
            | ( c2_1 @ X10 )
            | ~ ( c0_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 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp4 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp0 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ( c2_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | hskp5 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X24 )
            | ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp27 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | hskp6 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ( c3_1 @ X27 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c0_1 @ X30 ) ) ) )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp9 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | hskp6 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | hskp10 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp11 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | hskp12 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp13
      | hskp14 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp5
      | hskp15 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp28
      | hskp7 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp16
      | hskp17 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c2_1 @ X49 )
            | ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp6 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ( c3_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | hskp3
      | hskp18 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | hskp11
      | hskp15 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ( c3_1 @ X56 ) ) )
      | hskp9 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp29
      | hskp19 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | hskp20 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp21
      | hskp17 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ( c3_1 @ X64 ) ) )
      | hskp21
      | hskp20 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) ) )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) ) )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp22
      | hskp20 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp22
      | hskp23 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp13
      | hskp18 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | hskp18 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp10
      | hskp1 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp12 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | hskp9
      | hskp15 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | hskp30
      | hskp12 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | hskp20 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp13
      | hskp24 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp4
      | hskp15 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp18
      | hskp23 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | hskp21
      | hskp4 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp22
      | hskp12 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) ) )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | hskp16
      | hskp14 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp5
      | hskp25 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 ) ) )
      | hskp24
      | hskp6 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | hskp29
      | hskp9 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | hskp9 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp28
      | hskp0 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp8 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | hskp21
      | hskp10 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | hskp6 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp7 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp19
      | hskp11 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X108 )
            | ~ ( c2_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp25 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp27
      | hskp16 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X110 )
            | ~ ( c1_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp30
      | hskp3 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp22
      | hskp0 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) )
      | hskp5
      | hskp25 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c1_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( c1_1 @ a35 )
   <= ( c1_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i,X11: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl854,plain,
    ( ( ( c3_1 @ a35 )
      | ~ ( c2_1 @ a35 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c1_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl260]) ).

thf('0',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ( c3_1 @ a35 )
    | ~ ( c2_1 @ a35 )
    | ~ ( c1_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl854]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ( c1_1 @ a31 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ( c1_1 @ a31 )
   <= ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl260_001,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl962,plain,
    ( ( ( c3_1 @ a31 )
      | ~ ( c2_1 @ a31 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c1_1 @ a31 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl260]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a31 )
    | ( c3_1 @ a31 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl962]) ).

thf('2',plain,
    ( ( c1_1 @ a31 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a31 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ~ ( c3_1 @ a31 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl37,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp18
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c0_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl345,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1174,plain,
    ( ( ( c1_1 @ a21 )
      | ( c3_1 @ a21 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl345]) ).

thf('5',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ( c1_1 @ a21 )
    | ~ ( c0_1 @ a21 )
    | ( c3_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl1174]) ).

thf(zip_derived_cl73,plain,
    ! [X106: $i] :
      ( ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0
      | hskp3
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl488,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl33,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ndr1_0
      | hskp30
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1968,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl328]) ).

thf(zip_derived_cl1999,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1968]) ).

thf(zip_derived_cl654_002,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp5
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl983,plain,
    ( ( ~ ( c1_1 @ a21 )
      | ~ ( c3_1 @ a21 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl232]) ).

thf(zip_derived_cl1002,plain,
    ( ~ ( c1_1 @ a21 )
   <= ~ ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl983]) ).

thf(zip_derived_cl3167,plain,
    ( ~ ( c2_1 @ a21 )
   <= ( ~ ( c1_1 @ a21 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1999,zip_derived_cl1002]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c2_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl656,plain,
    ( ( c2_1 @ a21 )
   <= ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('6',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ( c1_1 @ a21 )
    | ~ ( c2_1 @ a21 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3167,zip_derived_cl656]) ).

thf(zip_derived_cl654_003,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl29,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp18
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl990,plain,
    ( ( ( c1_1 @ a21 )
      | ~ ( c3_1 @ a21 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl312]) ).

thf(zip_derived_cl3239,plain,
    ( ( c1_1 @ a21 )
   <= ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl990]) ).

thf(zip_derived_cl260_004,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl3252,plain,
    ( ( ( c3_1 @ a21 )
      | ~ ( c2_1 @ a21 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c1_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3239,zip_derived_cl260]) ).

thf('7',plain,
    ( ~ ( c1_1 @ a21 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c2_1 @ a21 )
    | ( c3_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl3252]) ).

thf(zip_derived_cl36,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl260_005,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1113,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl260]) ).

thf(zip_derived_cl1156,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1113]) ).

thf(zip_derived_cl656_006,plain,
    ( ( c2_1 @ a21 )
   <= ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl2543,plain,
    ( ( c3_1 @ a21 )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
      & ( c2_1 @ a21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1156,zip_derived_cl656]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ~ ( c3_1 @ a21 )
   <= ~ ( c3_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf('8',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c2_1 @ a21 )
    | ( c3_1 @ a21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2543,zip_derived_cl658]) ).

thf(zip_derived_cl614_007,plain,
    ( ( c1_1 @ a31 )
   <= ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl59,plain,
    ! [X74: $i,X75: $i,X76: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c3_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1469,plain,
    ( ( ( c2_1 @ a31 )
      | ( c3_1 @ a31 ) )
   <= ( ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a31 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl433]) ).

thf('9',plain,
    ( ( c2_1 @ a31 )
    | ~ ( c1_1 @ a31 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c3_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl38,plain,
    ! [X40: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp13
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl348,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl720,plain,
    ( ~ ( c1_1 @ a11 )
   <= ~ ( c1_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1200,plain,
    ( ( ~ ( c3_1 @ a11 )
      | ( c2_1 @ a11 ) )
   <= ( ~ ( c1_1 @ a11 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl720]) ).

thf('10',plain,
    ( ( c1_1 @ a11 )
    | ( c2_1 @ a11 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1200]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ( c0_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl718,plain,
    ( ( c0_1 @ a11 )
   <= ( c0_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl27,plain,
    ! [X26: $i] :
      ( ( c2_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | hskp22
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1039,plain,
    ( ( ( c2_1 @ a11 )
      | ( c3_1 @ a11 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl304]) ).

thf('11',plain,
    ( ( c3_1 @ a11 )
    | ( c2_1 @ a11 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl61,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c0_1 @ a28 )
   <= ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1766,plain,
    ( ( ~ ( c1_1 @ a28 )
      | ( c2_1 @ a28 ) )
   <= ( ~ ( c0_1 @ a28 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl624]) ).

thf('12',plain,
    ( ~ ( c1_1 @ a28 )
    | ( c0_1 @ a28 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) )
    | ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1766]) ).

thf(zip_derived_cl47,plain,
    ! [X56: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp29
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl384,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl624_008,plain,
    ( ~ ( c0_1 @ a28 )
   <= ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1330,plain,
    ( ( ~ ( c3_1 @ a28 )
      | ~ ( c1_1 @ a28 ) )
   <= ( ~ ( c0_1 @ a28 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl624]) ).

thf(zip_derived_cl1818,plain,
    ( ~ ( c1_1 @ a28 )
   <= ~ ( c1_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1330]) ).

thf(zip_derived_cl348_009,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1821,plain,
    ( ( ( c2_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ~ ( c1_1 @ a28 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1818,zip_derived_cl348]) ).

thf('13',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ( c1_1 @ a28 )
    | ( c2_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1821]) ).

thf(zip_derived_cl44,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( hskp17
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp21
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl372,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ~ ( c0_1 @ a18 )
   <= ~ ( c0_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1270,plain,
    ( ( ~ ( c3_1 @ a18 )
      | ~ ( c2_1 @ a18 ) )
   <= ( ~ ( c0_1 @ a18 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl680]) ).

thf('15',plain,
    ( ~ ( c2_1 @ a18 )
    | ( c0_1 @ a18 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1270]) ).

thf(zip_derived_cl488_010,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl680_011,plain,
    ( ~ ( c0_1 @ a18 )
   <= ~ ( c0_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1975,plain,
    ( ( ~ ( c2_1 @ a18 )
      | ( c1_1 @ a18 ) )
   <= ( ~ ( c0_1 @ a18 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl680]) ).

thf('16',plain,
    ( ~ ( c2_1 @ a18 )
    | ( c0_1 @ a18 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1975]) ).

thf(zip_derived_cl348_012,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( c1_1 @ a18 )
   <= ~ ( c1_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1204,plain,
    ( ( ~ ( c3_1 @ a18 )
      | ( c2_1 @ a18 ) )
   <= ( ~ ( c1_1 @ a18 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl682]) ).

thf('17',plain,
    ( ( c2_1 @ a18 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ( c1_1 @ a18 )
    | ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1204]) ).

thf(zip_derived_cl78,plain,
    ! [X113: $i,X114: $i,X115: $i] :
      ( ( c0_1 @ X113 )
      | ( c1_1 @ X113 )
      | ( c3_1 @ X113 )
      | ~ ndr1_0
      | ( c2_1 @ X114 )
      | ~ ( c0_1 @ X114 )
      | ~ ( c1_1 @ X114 )
      | ~ ndr1_0
      | ( c2_1 @ X115 )
      | ~ ( c1_1 @ X115 )
      | ~ ( c3_1 @ X115 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl60,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c1_1 @ X78 )
      | ~ ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    ( ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a58 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    ( ~ ( c1_1 @ a58 )
   <= ~ ( c1_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1414,plain,
    ( ( ~ ( c3_1 @ a58 )
      | ~ ( c2_1 @ a58 ) )
   <= ( ~ ( c1_1 @ a58 )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl570]) ).

thf('19',plain,
    ( ~ ( c3_1 @ a58 )
    | ~ ( c2_1 @ a58 )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ( c1_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf(zip_derived_cl49,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp11
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl392,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a58 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl568,plain,
    ( ~ ( c0_1 @ a58 )
   <= ~ ( c0_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1532,plain,
    ( ( ~ ( c2_1 @ a58 )
      | ( c3_1 @ a58 ) )
   <= ( ~ ( c0_1 @ a58 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl568]) ).

thf('20',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c3_1 @ a58 )
    | ( c0_1 @ a58 )
    | ~ ( c2_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl1532]) ).

thf(zip_derived_cl372_013,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl650,plain,
    ( ~ ( c0_1 @ a22 )
   <= ~ ( c0_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1272,plain,
    ( ( ~ ( c3_1 @ a22 )
      | ~ ( c2_1 @ a22 ) )
   <= ( ~ ( c0_1 @ a22 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl650]) ).

thf('21',plain,
    ( ( c0_1 @ a22 )
    | ~ ( c3_1 @ a22 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c2_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1272]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp27
    | ( c1_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544,plain,
    ( ( c1_1 @ a12 )
   <= ( c1_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl885,plain,
    ( ( ~ ( c2_1 @ a12 )
      | ~ ( c3_1 @ a12 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl228]) ).

thf('22',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a12 )
    | ~ ( c1_1 @ a12 )
    | ~ ( c3_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c1_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c1_1 @ a37 )
   <= ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl19,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp28
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl272,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl948,plain,
    ( ( ( c2_1 @ a37 )
      | ~ ( c3_1 @ a37 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c1_1 @ a37 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl272]) ).

thf('23',plain,
    ( ( c2_1 @ a37 )
    | ~ ( c3_1 @ a37 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl948]) ).

thf('24',plain,
    ( hskp6
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl372_014,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ~ ( c0_1 @ a37 )
   <= ~ ( c0_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1276,plain,
    ( ( ~ ( c3_1 @ a37 )
      | ~ ( c2_1 @ a37 ) )
   <= ( ~ ( c0_1 @ a37 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl602]) ).

thf('25',plain,
    ( ~ ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1276]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c0_1 @ a27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    ( ( c0_1 @ a27 )
   <= ( c0_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl328_015,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1073,plain,
    ( ( ( c1_1 @ a27 )
      | ~ ( c2_1 @ a27 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ( c0_1 @ a27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl328]) ).

thf('26',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ~ ( c2_1 @ a27 )
    | ~ ( c0_1 @ a27 )
    | ( c1_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl1073]) ).

thf(zip_derived_cl32,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c2_1 @ X32 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp20
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('28',plain,
    ( ( c0_1 @ a11 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('29',plain,
    ( ~ ( c1_1 @ a11 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ ( c2_1 @ a11 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl54,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl680_016,plain,
    ( ~ ( c0_1 @ a18 )
   <= ~ ( c0_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1686,plain,
    ( ( ~ ( c3_1 @ a18 )
      | ( c2_1 @ a18 ) )
   <= ( ~ ( c0_1 @ a18 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl680]) ).

thf('31',plain,
    ( ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a18 )
    | ( c0_1 @ a18 )
    | ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1686]) ).

thf(zip_derived_cl71,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X102 )
      | ~ ( c1_1 @ X102 )
      | ~ ( c3_1 @ X102 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl481,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl680_017,plain,
    ( ~ ( c0_1 @ a18 )
   <= ~ ( c0_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1843,plain,
    ( ( ~ ( c3_1 @ a18 )
      | ( c1_1 @ a18 ) )
   <= ( ~ ( c0_1 @ a18 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl680]) ).

thf('32',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) )
    | ( c0_1 @ a18 )
    | ~ ( c3_1 @ a18 )
    | ( c1_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1843]) ).

thf(zip_derived_cl436_018,plain,
    ( ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl682_019,plain,
    ( ~ ( c1_1 @ a18 )
   <= ~ ( c1_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1405,plain,
    ( ( ~ ( c3_1 @ a18 )
      | ~ ( c2_1 @ a18 ) )
   <= ( ~ ( c1_1 @ a18 )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl682]) ).

thf('33',plain,
    ( ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c2_1 @ a18 )
    | ( c1_1 @ a18 )
    | ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1405]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c3_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c3_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('35',plain,
    ( ~ ( c0_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('36',plain,
    ( ~ ( c1_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp21
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( hskp10
    | hskp21
    | ! [X12: $i] :
        ( ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl53,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl408,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl750,plain,
    ( ~ ( c0_1 @ a2 )
   <= ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl1627,plain,
    ( ( ~ ( c1_1 @ a2 )
      | ( c3_1 @ a2 ) )
   <= ( ~ ( c0_1 @ a2 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl750]) ).

thf('38',plain,
    ( ~ ( c1_1 @ a2 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
    | ( c3_1 @ a2 )
    | ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf(zip_derived_cl481_020,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl750_021,plain,
    ( ~ ( c0_1 @ a2 )
   <= ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl1840,plain,
    ( ( ~ ( c3_1 @ a2 )
      | ( c1_1 @ a2 ) )
   <= ( ~ ( c0_1 @ a2 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl750]) ).

thf(zip_derived_cl5016,plain,
    ( ( c1_1 @ a2 )
   <= ( c1_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1840]) ).

thf(zip_derived_cl433_022,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl5043,plain,
    ( ( ( c2_1 @ a2 )
      | ( c3_1 @ a2 ) )
   <= ( ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5016,zip_derived_cl433]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a2 )
    | ( c2_1 @ a2 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c3_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl5043]) ).

thf(zip_derived_cl408_023,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl672,plain,
    ( ~ ( c0_1 @ a19 )
   <= ~ ( c0_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1631,plain,
    ( ( ~ ( c1_1 @ a19 )
      | ( c3_1 @ a19 ) )
   <= ( ~ ( c0_1 @ a19 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl672]) ).

thf('40',plain,
    ( ~ ( c1_1 @ a19 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
    | ( c0_1 @ a19 )
    | ( c3_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1631]) ).

thf(zip_derived_cl412_024,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl21,plain,
    ! [X18: $i] :
      ( ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp29
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1675,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl280]) ).

thf(zip_derived_cl1710,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1675]) ).

thf(zip_derived_cl436_025,plain,
    ( ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl228_026,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1396,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl228]) ).

thf(zip_derived_cl1439,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1396]) ).

thf(zip_derived_cl3004,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl1439]) ).

thf(zip_derived_cl3066,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3004]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ( c3_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ( c3_1 @ a28 )
   <= ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('41',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ~ ( c3_1 @ a28 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3066,zip_derived_cl622]) ).

thf(zip_derived_cl392_027,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl672_028,plain,
    ( ~ ( c0_1 @ a19 )
   <= ~ ( c0_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1526,plain,
    ( ( ~ ( c2_1 @ a19 )
      | ( c3_1 @ a19 ) )
   <= ( ~ ( c0_1 @ a19 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl672]) ).

thf(zip_derived_cl3521,plain,
    ( ( c3_1 @ a19 )
   <= ( c3_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1526]) ).

thf(zip_derived_cl3066_029,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3004]) ).

thf('42',plain,
    ( ~ ( c3_1 @ a19 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3521,zip_derived_cl3066]) ).

thf(zip_derived_cl3066_030,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3004]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ( c3_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl608,plain,
    ( ( c3_1 @ a36 )
   <= ( c3_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('43',plain,
    ( ~ ( c3_1 @ a36 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3066,zip_derived_cl608]) ).

thf(zip_derived_cl57,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( hskp12
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
    | ! [X12: $i] :
        ( ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl488_031,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl672_032,plain,
    ( ~ ( c0_1 @ a19 )
   <= ~ ( c0_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1976,plain,
    ( ( ~ ( c2_1 @ a19 )
      | ( c1_1 @ a19 ) )
   <= ( ~ ( c0_1 @ a19 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl672]) ).

thf('45',plain,
    ( ~ ( c2_1 @ a19 )
    | ( c0_1 @ a19 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1976]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c2_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ( c2_1 @ a36 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('47',plain,
    ( ~ hskp19
    | ( c3_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a36 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c1_1 @ a36 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl14,plain,
    ! [X7: $i] :
      ( ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp11
    | hskp19
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c2_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c2_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('51',plain,
    ( ~ ( c0_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ~ ( c3_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf('53',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c0_1 @ a19 )
    | ( c3_1 @ a19 )
    | ~ ( c2_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1526]) ).

thf(zip_derived_cl52,plain,
    ! [X63: $i,X64: $i,X65: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ( c1_1 @ X64 )
      | ( c2_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ( c0_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl686,plain,
    ( ( c0_1 @ a16 )
   <= ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl252,plain,
    ( ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1005,plain,
    ( ( ~ ( c1_1 @ a16 )
      | ~ ( c2_1 @ a16 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c0_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl252]) ).

thf('55',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a16 )
    | ~ ( c1_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1005]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ( c0_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl345_033,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( c1_1 @ a9 )
      | ( c3_1 @ a9 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl345]) ).

thf('56',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ( c1_1 @ a9 )
    | ~ ( c0_1 @ a9 )
    | ( c3_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1171]) ).

thf(zip_derived_cl43,plain,
    ! [X49: $i] :
      ( ( c1_1 @ X49 )
      | ( c2_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp21
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl368,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl726_034,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl232_035,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1042,plain,
    ( ( ~ ( c1_1 @ a9 )
      | ~ ( c3_1 @ a9 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl232]) ).

thf(zip_derived_cl1088,plain,
    ( ~ ( c1_1 @ a9 )
   <= ~ ( c1_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf(zip_derived_cl1569,plain,
    ( ( ( c3_1 @ a9 )
      | ( c2_1 @ a9 ) )
   <= ( ~ ( c1_1 @ a9 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl1088]) ).

thf('57',plain,
    ( ( c1_1 @ a9 )
    | ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) )
    | ( c3_1 @ a9 )
    | ( c2_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1569]) ).

thf(zip_derived_cl726_036,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c2_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | hskp24
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl284,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1047,plain,
    ( ( ( c2_1 @ a9 )
      | ~ ( c1_1 @ a9 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl284]) ).

thf('58',plain,
    ( ~ ( c1_1 @ a9 )
    | ~ ( c0_1 @ a9 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ( c2_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1047]) ).

thf(zip_derived_cl66,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c2_1 @ X90 )
      | ~ ( c0_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | ~ ndr1_0
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl76,plain,
    ! [X111: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ( c3_1 @ X111 )
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500,plain,
    ( ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) )
   <= ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl710,plain,
    ( ~ ( c0_1 @ a13 )
   <= ~ ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl2045,plain,
    ( ( ( c3_1 @ a13 )
      | ( c1_1 @ a13 ) )
   <= ( ~ ( c0_1 @ a13 )
      & ! [X111: $i] :
          ( ( c0_1 @ X111 )
          | ( c1_1 @ X111 )
          | ( c3_1 @ X111 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl710]) ).

thf('60',plain,
    ( ~ ! [X111: $i] :
          ( ( c0_1 @ X111 )
          | ( c1_1 @ X111 )
          | ( c3_1 @ X111 ) )
    | ( c0_1 @ a13 )
    | ( c1_1 @ a13 )
    | ( c3_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2045]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ( c1_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    ( ( c1_1 @ a16 )
   <= ( c1_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl260_037,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1026,plain,
    ( ( ( c3_1 @ a16 )
      | ~ ( c2_1 @ a16 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c1_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl260]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a16 )
    | ( c3_1 @ a16 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c1_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1026]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ( c1_1 @ a38 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ( c1_1 @ a38 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a38 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c2_1 @ a38 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('64',plain,
    ( hskp20
    | ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
    | hskp21
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl3066_038,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3004]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ( c3_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ( c3_1 @ a37 )
   <= ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('65',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ~ ( c3_1 @ a37 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3066,zip_derived_cl600]) ).

thf(zip_derived_cl3066_039,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3004]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ( c3_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('66',plain,
    ( ~ ( c3_1 @ a22 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3066,zip_derived_cl648]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c1_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ( ( c1_1 @ a14 )
   <= ( c1_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl433_040,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1467,plain,
    ( ( ( c2_1 @ a14 )
      | ( c3_1 @ a14 ) )
   <= ( ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl433]) ).

thf('67',plain,
    ( ( c3_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf('68',plain,
    ( hskp28
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl702_041,plain,
    ( ( c1_1 @ a14 )
   <= ( c1_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl272_042,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1032,plain,
    ( ( ( c2_1 @ a14 )
      | ~ ( c3_1 @ a14 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c1_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl272]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c1_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1032]) ).

thf(zip_derived_cl1999_043,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1968]) ).

thf(zip_derived_cl570_044,plain,
    ( ~ ( c1_1 @ a58 )
   <= ~ ( c1_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl3178,plain,
    ( ~ ( c2_1 @ a58 )
   <= ( ~ ( c1_1 @ a58 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1999,zip_derived_cl570]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c2_1 @ a58 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    ( ( c2_1 @ a58 )
   <= ( c2_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('70',plain,
    ( ~ ( c2_1 @ a58 )
    | ( c1_1 @ a58 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3178,zip_derived_cl566]) ).

thf(zip_derived_cl368_045,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    ( ~ ( c1_1 @ a13 )
   <= ~ ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1571,plain,
    ( ( ( c3_1 @ a13 )
      | ( c2_1 @ a13 ) )
   <= ( ~ ( c1_1 @ a13 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl712]) ).

thf('71',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) )
    | ( c2_1 @ a13 )
    | ( c3_1 @ a13 )
    | ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1571]) ).

thf(zip_derived_cl64,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl710_046,plain,
    ( ~ ( c0_1 @ a13 )
   <= ~ ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1926,plain,
    ( ( ( c3_1 @ a13 )
      | ( c2_1 @ a13 ) )
   <= ( ~ ( c0_1 @ a13 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl710]) ).

thf('72',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c2_1 @ a13 )
    | ( c3_1 @ a13 )
    | ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1926]) ).

thf(zip_derived_cl488_047,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl710_048,plain,
    ( ~ ( c0_1 @ a13 )
   <= ~ ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1973,plain,
    ( ( ~ ( c2_1 @ a13 )
      | ( c1_1 @ a13 ) )
   <= ( ~ ( c0_1 @ a13 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl710]) ).

thf('73',plain,
    ( ~ ( c2_1 @ a13 )
    | ( c0_1 @ a13 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1973]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a13 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('75',plain,
    ( ~ ( c1_1 @ a13 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ~ ( c3_1 @ a13 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('77',plain,
    ( hskp6
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c0_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ( ( c0_1 @ a35 )
   <= ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl232_049,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl834,plain,
    ( ( ~ ( c1_1 @ a35 )
      | ~ ( c3_1 @ a35 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl232]) ).

thf('78',plain,
    ( ~ ( c3_1 @ a35 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a35 )
    | ~ ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl834]) ).

thf(zip_derived_cl75,plain,
    ! [X109: $i,X110: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c1_1 @ X110 )
      | ( c2_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl56,plain,
    ! [X69: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp13
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp13
    | hskp14
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl348_050,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl272_051,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1197,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl272]) ).

thf(zip_derived_cl1239,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1197]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( c2_1 @ a28 )
   <= ~ ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl2952,plain,
    ( ~ ( c3_1 @ a28 )
   <= ( ~ ( c2_1 @ a28 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1239,zip_derived_cl626]) ).

thf(zip_derived_cl622_052,plain,
    ( ( c3_1 @ a28 )
   <= ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('81',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a28 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ( c2_1 @ a28 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2952,zip_derived_cl622]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c1_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( c1_1 @ a25 )
   <= ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl228_053,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl858,plain,
    ( ( ~ ( c2_1 @ a25 )
      | ~ ( c3_1 @ a25 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a25 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl228]) ).

thf('82',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a25 )
    | ~ ( c2_1 @ a25 )
    | ~ ( c3_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl858]) ).

thf(zip_derived_cl598_054,plain,
    ( ( c1_1 @ a37 )
   <= ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl228_055,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl946,plain,
    ( ( ~ ( c2_1 @ a37 )
      | ~ ( c3_1 @ a37 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a37 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl228]) ).

thf('83',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a37 )
    | ~ ( c1_1 @ a37 )
    | ~ ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl946]) ).

thf('84',plain,
    ( ( c1_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('85',plain,
    ( ( c3_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('86',plain,
    ( ~ ( c0_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl45,plain,
    ! [X51: $i,X52: $i,X53: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl46,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | ( c3_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( hskp20
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl372_056,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl568_057,plain,
    ( ~ ( c0_1 @ a58 )
   <= ~ ( c0_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1277,plain,
    ( ( ~ ( c3_1 @ a58 )
      | ~ ( c2_1 @ a58 ) )
   <= ( ~ ( c0_1 @ a58 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl568]) ).

thf('89',plain,
    ( ~ ( c3_1 @ a58 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a58 )
    | ~ ( c2_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl1277]) ).

thf(zip_derived_cl500_058,plain,
    ( ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) )
   <= ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl568_059,plain,
    ( ~ ( c0_1 @ a58 )
   <= ~ ( c0_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl2054,plain,
    ( ( ( c3_1 @ a58 )
      | ( c1_1 @ a58 ) )
   <= ( ~ ( c0_1 @ a58 )
      & ! [X111: $i] :
          ( ( c0_1 @ X111 )
          | ( c1_1 @ X111 )
          | ( c3_1 @ X111 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl568]) ).

thf('90',plain,
    ( ~ ! [X111: $i] :
          ( ( c0_1 @ X111 )
          | ( c1_1 @ X111 )
          | ( c3_1 @ X111 ) )
    | ( c3_1 @ a58 )
    | ( c1_1 @ a58 )
    | ( c0_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl2054]) ).

thf('91',plain,
    ( hskp1
    | ! [X111: $i] :
        ( ( c0_1 @ X111 )
        | ( c1_1 @ X111 )
        | ( c3_1 @ X111 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl74,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c2_1 @ X108 )
      | ~ ( c1_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( hskp1
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ~ ndr1_0
    | ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl384_060,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl750_061,plain,
    ( ~ ( c0_1 @ a2 )
   <= ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl1323,plain,
    ( ( ~ ( c3_1 @ a2 )
      | ~ ( c1_1 @ a2 ) )
   <= ( ~ ( c0_1 @ a2 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl750]) ).

thf(zip_derived_cl1723,plain,
    ( ~ ( c1_1 @ a2 )
   <= ~ ( c1_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf(zip_derived_cl368_062,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1727,plain,
    ( ( ( c2_1 @ a2 )
      | ( c3_1 @ a2 ) )
   <= ( ~ ( c1_1 @ a2 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1723,zip_derived_cl368]) ).

thf('93',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) )
    | ( c1_1 @ a2 )
    | ( c3_1 @ a2 )
    | ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1727]) ).

thf(zip_derived_cl452_063,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl750_064,plain,
    ( ~ ( c0_1 @ a2 )
   <= ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl1925,plain,
    ( ( ( c3_1 @ a2 )
      | ( c2_1 @ a2 ) )
   <= ( ~ ( c0_1 @ a2 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl750]) ).

thf('94',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c0_1 @ a2 )
    | ( c2_1 @ a2 )
    | ( c3_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1925]) ).

thf(zip_derived_cl440_065,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl750_066,plain,
    ( ~ ( c0_1 @ a2 )
   <= ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl1759,plain,
    ( ( ~ ( c1_1 @ a2 )
      | ( c2_1 @ a2 ) )
   <= ( ~ ( c0_1 @ a2 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl750]) ).

thf('95',plain,
    ( ~ ( c1_1 @ a2 )
    | ( c2_1 @ a2 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) )
    | ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1759]) ).

thf('96',plain,
    ( ~ ( c0_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ ( c3_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl69,plain,
    ! [X96: $i,X97: $i,X98: $i] :
      ( ( c0_1 @ X96 )
      | ( c2_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c2_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ( c3_1 @ X98 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | ~ ndr1_0
    | ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl63,plain,
    ! [X83: $i,X84: $i,X85: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | ( c1_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ( c0_1 @ X85 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
    | ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl436_067,plain,
    ( ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ~ ( c1_1 @ a27 )
   <= ~ ( c1_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1409,plain,
    ( ( ~ ( c3_1 @ a27 )
      | ~ ( c2_1 @ a27 ) )
   <= ( ~ ( c1_1 @ a27 )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl634]) ).

thf('101',plain,
    ( ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c2_1 @ a27 )
    | ( c1_1 @ a27 )
    | ~ ( c3_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl1409]) ).

thf(zip_derived_cl31,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp13
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( hskp13
    | hskp24
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl630_068,plain,
    ( ( c0_1 @ a27 )
   <= ( c0_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl312_069,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl981,plain,
    ( ( ( c1_1 @ a27 )
      | ~ ( c3_1 @ a27 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl312]) ).

thf('103',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c0_1 @ a27 )
    | ~ ( c3_1 @ a27 )
    | ( c1_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl981]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a27 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl440_070,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl602_071,plain,
    ( ~ ( c0_1 @ a37 )
   <= ~ ( c0_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1768,plain,
    ( ( ~ ( c1_1 @ a37 )
      | ( c2_1 @ a37 ) )
   <= ( ~ ( c0_1 @ a37 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl602]) ).

thf('105',plain,
    ( ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) )
    | ~ ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf('106',plain,
    ( ( c1_1 @ a25 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c2_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c2_1 @ a25 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c3_1 @ a25 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf('109',plain,
    ( hskp28
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl481_072,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl624_073,plain,
    ( ~ ( c0_1 @ a28 )
   <= ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1847,plain,
    ( ( ~ ( c3_1 @ a28 )
      | ( c1_1 @ a28 ) )
   <= ( ~ ( c0_1 @ a28 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl624]) ).

thf('110',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) )
    | ( c1_1 @ a28 )
    | ( c0_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1847]) ).

thf(zip_derived_cl726_074,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl72,plain,
    ! [X103: $i,X104: $i,X105: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0
      | ( c0_1 @ X104 )
      | ( c2_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0
      | ( c1_1 @ X105 )
      | ( c2_1 @ X105 )
      | ~ ( c0_1 @ X105 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ( c2_1 @ X105 )
        | ~ ( c0_1 @ X105 ) )
   <= ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ( c2_1 @ X105 )
        | ~ ( c0_1 @ X105 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1499,plain,
    ( ( ( c1_1 @ a9 )
      | ( c2_1 @ a9 ) )
   <= ( ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ( c2_1 @ X105 )
          | ~ ( c0_1 @ X105 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl484]) ).

thf('111',plain,
    ( ( c1_1 @ a9 )
    | ( c2_1 @ a9 )
    | ~ ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ( c2_1 @ X105 )
          | ~ ( c0_1 @ X105 ) )
    | ~ ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1499]) ).

thf(zip_derived_cl412_075,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl624_076,plain,
    ( ~ ( c0_1 @ a28 )
   <= ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1690,plain,
    ( ( ~ ( c3_1 @ a28 )
      | ( c2_1 @ a28 ) )
   <= ( ~ ( c0_1 @ a28 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl624]) ).

thf('112',plain,
    ( ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c0_1 @ a28 )
    | ( c2_1 @ a28 )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1690]) ).

thf(zip_derived_cl5341,plain,
    ( ( c1_1 @ a28 )
   <= ( c1_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1847]) ).

thf(zip_derived_cl272_077,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl5367,plain,
    ( ( ( c2_1 @ a28 )
      | ~ ( c3_1 @ a28 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c1_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5341,zip_derived_cl272]) ).

thf('113',plain,
    ( ~ ( c1_1 @ a28 )
    | ( c2_1 @ a28 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl5367]) ).

thf(zip_derived_cl726_078,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl312_079,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1049,plain,
    ( ( ( c1_1 @ a9 )
      | ~ ( c3_1 @ a9 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl312]) ).

thf(zip_derived_cl3444,plain,
    ( ( c1_1 @ a9 )
   <= ( c1_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1049]) ).

thf(zip_derived_cl433_080,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl3459,plain,
    ( ( ( c2_1 @ a9 )
      | ( c3_1 @ a9 ) )
   <= ( ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3444,zip_derived_cl433]) ).

thf('114',plain,
    ( ~ ( c1_1 @ a9 )
    | ( c2_1 @ a9 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c3_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl3459]) ).

thf('115',plain,
    ( ~ ( c0_1 @ a28 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl4,plain,
    ( hskp9
    | hskp2
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp17
    | hskp2
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('117',plain,
    ( ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ( c2_1 @ X105 )
        | ~ ( c0_1 @ X105 ) )
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl79,plain,
    ! [X116: $i,X117: $i,X118: $i] :
      ( ( c0_1 @ X116 )
      | ( c1_1 @ X116 )
      | ( c2_1 @ X116 )
      | ~ ndr1_0
      | ( c1_1 @ X117 )
      | ( c3_1 @ X117 )
      | ~ ( c2_1 @ X117 )
      | ~ ndr1_0
      | ( c2_1 @ X118 )
      | ( c3_1 @ X118 )
      | ~ ( c1_1 @ X118 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ( c1_1 @ X116 )
        | ( c2_1 @ X116 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl514,plain,
    ( ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ( c1_1 @ X116 )
        | ( c2_1 @ X116 ) )
   <= ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ( c1_1 @ X116 )
        | ( c2_1 @ X116 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( c0_1 @ a24 )
   <= ~ ( c0_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl2105,plain,
    ( ( ( c2_1 @ a24 )
      | ( c1_1 @ a24 ) )
   <= ( ~ ( c0_1 @ a24 )
      & ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ( c1_1 @ X116 )
          | ( c2_1 @ X116 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl638]) ).

thf('119',plain,
    ( ~ ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ( c1_1 @ X116 )
          | ( c2_1 @ X116 ) )
    | ( c0_1 @ a24 )
    | ( c1_1 @ a24 )
    | ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl2105]) ).

thf(zip_derived_cl48,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
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
    | ~ ndr1_0
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a24 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ ( c1_1 @ a24 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a24 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c1_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c3_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl368_081,plain,
    ( ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c1_1 @ X49 )
        | ( c2_1 @ X49 )
        | ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl694,plain,
    ( ~ ( c1_1 @ a15 )
   <= ~ ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl1572,plain,
    ( ( ( c3_1 @ a15 )
      | ( c2_1 @ a15 ) )
   <= ( ~ ( c1_1 @ a15 )
      & ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl694]) ).

thf('127',plain,
    ( ~ ! [X49: $i] :
          ( ( c1_1 @ X49 )
          | ( c2_1 @ X49 )
          | ( c3_1 @ X49 ) )
    | ( c1_1 @ a15 )
    | ( c2_1 @ a15 )
    | ( c3_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl1572]) ).

thf(zip_derived_cl34,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | hskp9
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp15
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl6,plain,
    ( hskp27
    | hskp13
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( hskp13
    | hskp8
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1999_082,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1968]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c1_1 @ a20 )
   <= ~ ( c1_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl3166,plain,
    ( ~ ( c2_1 @ a20 )
   <= ( ~ ( c1_1 @ a20 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1999,zip_derived_cl664]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c2_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c2_1 @ a20 )
   <= ( c2_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('130',plain,
    ( ~ ( c2_1 @ a20 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3166,zip_derived_cl662]) ).

thf('131',plain,
    ( ( c1_1 @ a12 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp27
    | ( c0_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c0_1 @ a12 )
   <= ( c0_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl232_083,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl877,plain,
    ( ( ~ ( c1_1 @ a12 )
      | ~ ( c3_1 @ a12 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl232]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a12 )
    | ~ ( c3_1 @ a12 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl877]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp22
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( hskp22
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl389,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl232_084,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1354,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl232]) ).

thf(zip_derived_cl1389,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1354]) ).

thf(zip_derived_cl534_085,plain,
    ( ( c1_1 @ a25 )
   <= ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl2751,plain,
    ( ( ~ ( c2_1 @ a25 )
      | ~ ( c3_1 @ a25 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a25 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1389,zip_derived_cl534]) ).

thf('134',plain,
    ( ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c2_1 @ a25 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a25 )
    | ~ ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl2751]) ).

thf('135',plain,
    ( ( c3_1 @ a28 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('136',plain,
    ( ~ ( c2_1 @ a28 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('137',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
    | hskp17
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('138',plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl408_086,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c1_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl261,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1617,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl261]) ).

thf(zip_derived_cl1654,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1617]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c1_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl758,plain,
    ( ( c1_1 @ a1 )
   <= ( c1_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl4269,plain,
    ( ( ( c3_1 @ a1 )
      | ~ ( c2_1 @ a1 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
      & ( c1_1 @ a1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1654,zip_derived_cl758]) ).

thf('139',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c1_1 @ X66 ) )
    | ~ ( c1_1 @ a1 )
    | ~ ( c2_1 @ a1 )
    | ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl4269]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c2_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ hskp14
    | ( c2_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('141',plain,
    ( ~ hskp14
    | ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('142',plain,
    ( ~ ( c0_1 @ a22 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl25,plain,
    ! [X22: $i] :
      ( ( c2_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0
      | hskp16
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | hskp16
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl686_087,plain,
    ( ( c0_1 @ a16 )
   <= ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl284_088,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1009,plain,
    ( ( ( c2_1 @ a16 )
      | ~ ( c1_1 @ a16 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c0_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl284]) ).

thf('144',plain,
    ( ( c2_1 @ a16 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ~ ( c1_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1009]) ).

thf(zip_derived_cl688_089,plain,
    ( ( c1_1 @ a16 )
   <= ( c1_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl433_090,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1468,plain,
    ( ( ( c2_1 @ a16 )
      | ( c3_1 @ a16 ) )
   <= ( ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl433]) ).

thf('145',plain,
    ( ( c2_1 @ a16 )
    | ( c3_1 @ a16 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl1710_091,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1675]) ).

thf(zip_derived_cl626_092,plain,
    ( ~ ( c2_1 @ a28 )
   <= ~ ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl3027,plain,
    ( ~ ( c3_1 @ a28 )
   <= ( ~ ( c2_1 @ a28 )
      & ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl626]) ).

thf(zip_derived_cl622_093,plain,
    ( ( c3_1 @ a28 )
   <= ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('146',plain,
    ( ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ~ ( c3_1 @ a28 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c2_1 @ a28 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3027,zip_derived_cl622]) ).

thf(zip_derived_cl514_094,plain,
    ( ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ( c1_1 @ X116 )
        | ( c2_1 @ X116 ) )
   <= ! [X116: $i] :
        ( ( c0_1 @ X116 )
        | ( c1_1 @ X116 )
        | ( c2_1 @ X116 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl624_095,plain,
    ( ~ ( c0_1 @ a28 )
   <= ~ ( c0_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl2106,plain,
    ( ( ( c2_1 @ a28 )
      | ( c1_1 @ a28 ) )
   <= ( ~ ( c0_1 @ a28 )
      & ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ( c1_1 @ X116 )
          | ( c2_1 @ X116 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl624]) ).

thf('147',plain,
    ( ~ ! [X116: $i] :
          ( ( c0_1 @ X116 )
          | ( c1_1 @ X116 )
          | ( c2_1 @ X116 ) )
    | ( c1_1 @ a28 )
    | ( c0_1 @ a28 )
    | ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl2106]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl340_096,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl664_097,plain,
    ( ~ ( c1_1 @ a20 )
   <= ~ ( c1_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1122,plain,
    ( ( ~ ( c2_1 @ a20 )
      | ( c3_1 @ a20 ) )
   <= ( ~ ( c1_1 @ a20 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl664]) ).

thf('149',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ( c1_1 @ a20 )
    | ~ ( c2_1 @ a20 )
    | ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1122]) ).

thf('150',plain,
    ( ( c2_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('151',plain,
    ( ~ ( c1_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('152',plain,
    ( hskp22
    | hskp12
    | ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('153',plain,
    ( ( c1_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf('154',plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | hskp0
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i,X17: $i] :
      ( ( c2_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl5,plain,
    ( hskp21
    | hskp13
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp13
    | hskp24
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ( c0_1 @ a38 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c0_1 @ a38 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl3,plain,
    ( hskp16
    | hskp4
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( hskp16
    | hskp4
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl654_098,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl280_099,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl987,plain,
    ( ( ( c2_1 @ a21 )
      | ~ ( c3_1 @ a21 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl280]) ).

thf('160',plain,
    ( ~ ( c3_1 @ a21 )
    | ~ ( c0_1 @ a21 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl987]) ).

thf(zip_derived_cl654_100,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl377,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl991,plain,
    ( ( ~ ( c2_1 @ a21 )
      | ~ ( c3_1 @ a21 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl377]) ).

thf('161',plain,
    ( ~ ( c3_1 @ a21 )
    | ~ ( c0_1 @ a21 )
    | ~ ( c2_1 @ a21 )
    | ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl654_101,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl304_102,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl989,plain,
    ( ( ( c2_1 @ a21 )
      | ( c3_1 @ a21 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl304]) ).

thf('162',plain,
    ( ( c2_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl989]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp3
    | ( c0_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl734,plain,
    ( ( c0_1 @ a7 )
   <= ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl261_103,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1053,plain,
    ( ( ( c3_1 @ a7 )
      | ~ ( c2_1 @ a7 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl261]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a7 )
    | ~ ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1053]) ).

thf(zip_derived_cl734_104,plain,
    ( ( c0_1 @ a7 )
   <= ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl377_105,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1059,plain,
    ( ( ~ ( c2_1 @ a7 )
      | ~ ( c3_1 @ a7 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl377]) ).

thf('164',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ ( c3_1 @ a7 )
    | ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1059]) ).

thf(zip_derived_cl734_106,plain,
    ( ( c0_1 @ a7 )
   <= ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl304_107,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1057,plain,
    ( ( ( c2_1 @ a7 )
      | ( c3_1 @ a7 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl304]) ).

thf('165',plain,
    ( ( c3_1 @ a7 )
    | ( c2_1 @ a7 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1057]) ).

thf(zip_derived_cl590,plain,
    ( ( c0_1 @ a38 )
   <= ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl261_108,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl936,plain,
    ( ( ( c3_1 @ a38 )
      | ~ ( c2_1 @ a38 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a38 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl261]) ).

thf('166',plain,
    ( ~ ( c2_1 @ a38 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a38 )
    | ~ ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl936]) ).

thf(zip_derived_cl590_109,plain,
    ( ( c0_1 @ a38 )
   <= ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl280_110,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl938,plain,
    ( ( ( c2_1 @ a38 )
      | ~ ( c3_1 @ a38 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a38 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl280]) ).

thf('167',plain,
    ( ~ ( c3_1 @ a38 )
    | ( c2_1 @ a38 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl938]) ).

thf(zip_derived_cl590_111,plain,
    ( ( c0_1 @ a38 )
   <= ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl377_112,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl942,plain,
    ( ( ~ ( c2_1 @ a38 )
      | ~ ( c3_1 @ a38 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a38 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl377]) ).

thf('168',plain,
    ( ~ ( c2_1 @ a38 )
    | ~ ( c3_1 @ a38 )
    | ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl942]) ).

thf(zip_derived_cl590_113,plain,
    ( ( c0_1 @ a38 )
   <= ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl304_114,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl940,plain,
    ( ( ( c2_1 @ a38 )
      | ( c3_1 @ a38 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a38 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl304]) ).

thf('169',plain,
    ( ( c2_1 @ a38 )
    | ( c3_1 @ a38 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl940]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ( c2_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c2_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ~ ( c3_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl758_115,plain,
    ( ( c1_1 @ a1 )
   <= ( c1_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl260_116,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1086,plain,
    ( ( ( c3_1 @ a1 )
      | ~ ( c2_1 @ a1 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
      & ( c1_1 @ a1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl260]) ).

thf('172',plain,
    ( ~ ( c2_1 @ a1 )
    | ( c3_1 @ a1 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c1_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf('173',plain,
    ( ( c0_1 @ a9 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c2_1 @ a9 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ~ ( c3_1 @ a9 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl726_117,plain,
    ( ( c0_1 @ a9 )
   <= ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl304_118,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1048,plain,
    ( ( ( c2_1 @ a9 )
      | ( c3_1 @ a9 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl304]) ).

thf('176',plain,
    ( ( c2_1 @ a9 )
    | ( c3_1 @ a9 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ~ ( c0_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1048]) ).

thf(zip_derived_cl686_119,plain,
    ( ( c0_1 @ a16 )
   <= ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl261_120,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1006,plain,
    ( ( ( c3_1 @ a16 )
      | ~ ( c2_1 @ a16 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl261]) ).

thf('177',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a16 )
    | ( c3_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1006]) ).

thf(zip_derived_cl686_121,plain,
    ( ( c0_1 @ a16 )
   <= ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl304_122,plain,
    ( ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c2_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1010,plain,
    ( ( ( c2_1 @ a16 )
      | ( c3_1 @ a16 ) )
   <= ( ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c0_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl304]) ).

thf('178',plain,
    ( ( c2_1 @ a16 )
    | ~ ! [X26: $i] :
          ( ( c2_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ( c3_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1010]) ).

thf(zip_derived_cl526_123,plain,
    ( ( c0_1 @ a35 )
   <= ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl261_124,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl836,plain,
    ( ( ( c3_1 @ a35 )
      | ~ ( c2_1 @ a35 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl261]) ).

thf('179',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a35 )
    | ~ ( c2_1 @ a35 )
    | ~ ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl836]) ).

thf(zip_derived_cl526_125,plain,
    ( ( c0_1 @ a35 )
   <= ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl377_126,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl840,plain,
    ( ( ~ ( c2_1 @ a35 )
      | ~ ( c3_1 @ a35 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl377]) ).

thf('180',plain,
    ( ~ ( c3_1 @ a35 )
    | ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c0_1 @ a35 )
    | ~ ( c2_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl840]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ( c0_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ( c0_1 @ a42 )
   <= ( c0_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl377_127,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl933,plain,
    ( ( ~ ( c2_1 @ a42 )
      | ~ ( c3_1 @ a42 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a42 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl377]) ).

thf('181',plain,
    ( ~ ( c0_1 @ a42 )
    | ~ ( c2_1 @ a42 )
    | ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl933]) ).

thf('182',plain,
    ( ~ hskp22
    | ( c0_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp22
    | ( c2_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ~ hskp22
    | ( c2_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl582_128,plain,
    ( ( c0_1 @ a42 )
   <= ( c0_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl261_129,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl927,plain,
    ( ( ( c3_1 @ a42 )
      | ~ ( c2_1 @ a42 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a42 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl261]) ).

thf('184',plain,
    ( ~ ( c0_1 @ a42 )
    | ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a42 )
    | ~ ( c2_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl927]) ).

thf(zip_derived_cl26,plain,
    ! [X23: $i,X24: $i,X25: $i] :
      ( ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ndr1_0
      | ( c2_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
    | ! [X12: $i] :
        ( ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('186',plain,
    ( ( c2_1 @ a21 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('187',plain,
    ( ( c0_1 @ a21 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a21 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl654_130,plain,
    ( ( c0_1 @ a21 )
   <= ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl261_131,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl985,plain,
    ( ( ( c3_1 @ a21 )
      | ~ ( c2_1 @ a21 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ( c0_1 @ a21 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl261]) ).

thf('189',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c0_1 @ a21 )
    | ( c3_1 @ a21 )
    | ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl985]) ).

thf(zip_derived_cl590_132,plain,
    ( ( c0_1 @ a38 )
   <= ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl284_133,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl939,plain,
    ( ( ( c2_1 @ a38 )
      | ~ ( c1_1 @ a38 ) )
   <= ( ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
      & ( c0_1 @ a38 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl284]) ).

thf('190',plain,
    ( ~ ( c1_1 @ a38 )
    | ( c2_1 @ a38 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 ) )
    | ~ ( c0_1 @ a38 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf('191',plain,
    ( ( c2_1 @ a58 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('192',plain,
    ( ~ ( c0_1 @ a58 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('193',plain,
    ( ~ ( c1_1 @ a58 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf('194',plain,
    ( hskp24
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl88,plain,
    ( ~ hskp28
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl88]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl0,plain,
    ( hskp28
    | hskp20
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( hskp20
    | hskp1
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl481_134,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl650_135,plain,
    ( ~ ( c0_1 @ a22 )
   <= ~ ( c0_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1845,plain,
    ( ( ~ ( c3_1 @ a22 )
      | ( c1_1 @ a22 ) )
   <= ( ~ ( c0_1 @ a22 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl650]) ).

thf(zip_derived_cl5158,plain,
    ( ( c1_1 @ a22 )
   <= ( c1_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1845]) ).

thf(zip_derived_cl228_136,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl5160,plain,
    ( ( ~ ( c2_1 @ a22 )
      | ~ ( c3_1 @ a22 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5158,zip_derived_cl228]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a22 )
    | ~ ( c2_1 @ a22 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl5160]) ).

thf(zip_derived_cl488_137,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl650_138,plain,
    ( ~ ( c0_1 @ a22 )
   <= ~ ( c0_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1977,plain,
    ( ( ~ ( c2_1 @ a22 )
      | ( c1_1 @ a22 ) )
   <= ( ~ ( c0_1 @ a22 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl650]) ).

thf('200',plain,
    ( ( c1_1 @ a22 )
    | ( c0_1 @ a22 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ~ ( c2_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1977]) ).

thf(zip_derived_cl488_139,plain,
    ( ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c0_1 @ X106 )
        | ( c1_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl568_140,plain,
    ( ~ ( c0_1 @ a58 )
   <= ~ ( c0_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1982,plain,
    ( ( ~ ( c2_1 @ a58 )
      | ( c1_1 @ a58 ) )
   <= ( ~ ( c0_1 @ a58 )
      & ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl568]) ).

thf('201',plain,
    ( ( c0_1 @ a58 )
    | ( c1_1 @ a58 )
    | ~ ! [X106: $i] :
          ( ( c0_1 @ X106 )
          | ( c1_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ~ ( c2_1 @ a58 ) ),
    inference(split,[status(esa)],[zip_derived_cl1982]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c1_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c1_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ( c3_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c3_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ~ ( c2_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl742,plain,
    ( ( c1_1 @ a3 )
   <= ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl272_141,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1084,plain,
    ( ( ( c2_1 @ a3 )
      | ~ ( c3_1 @ a3 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c1_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl742,zip_derived_cl272]) ).

thf('205',plain,
    ( ~ ( c3_1 @ a3 )
    | ( c2_1 @ a3 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1084]) ).

thf(zip_derived_cl436_142,plain,
    ( ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c1_1 @ X78 )
        | ~ ( c2_1 @ X78 )
        | ~ ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c1_1 @ a36 )
   <= ~ ( c1_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1410,plain,
    ( ( ~ ( c3_1 @ a36 )
      | ~ ( c2_1 @ a36 ) )
   <= ( ~ ( c1_1 @ a36 )
      & ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl610]) ).

thf('206',plain,
    ( ~ ( c3_1 @ a36 )
    | ( c1_1 @ a36 )
    | ~ ! [X78: $i] :
          ( ( c1_1 @ X78 )
          | ~ ( c2_1 @ X78 )
          | ~ ( c3_1 @ X78 ) )
    | ~ ( c2_1 @ a36 ) ),
    inference(split,[status(esa)],[zip_derived_cl1410]) ).

thf('207',plain,
    ( ( c0_1 @ a12 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp27
    | ( c3_1 @ a12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ( c3_1 @ a12 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl542_143,plain,
    ( ( c0_1 @ a12 )
   <= ( c0_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl377_144,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl884,plain,
    ( ( ~ ( c2_1 @ a12 )
      | ~ ( c3_1 @ a12 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl377]) ).

thf('209',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c2_1 @ a12 )
    | ~ ( c0_1 @ a12 )
    | ~ ( c3_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl884]) ).

thf(zip_derived_cl542_145,plain,
    ( ( c0_1 @ a12 )
   <= ( c0_1 @ a12 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl280_146,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl881,plain,
    ( ( ( c2_1 @ a12 )
      | ~ ( c3_1 @ a12 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a12 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl280]) ).

thf('210',plain,
    ( ( c2_1 @ a12 )
    | ~ ( c3_1 @ a12 )
    | ~ ( c0_1 @ a12 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl881]) ).

thf(zip_derived_cl630_147,plain,
    ( ( c0_1 @ a27 )
   <= ( c0_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl377_148,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl982,plain,
    ( ( ~ ( c2_1 @ a27 )
      | ~ ( c3_1 @ a27 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c0_1 @ a27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl377]) ).

thf('211',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c0_1 @ a27 )
    | ~ ( c3_1 @ a27 )
    | ~ ( c2_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf('212',plain,
    ( ( c0_1 @ a27 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ( c3_1 @ a27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ( c3_1 @ a27 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl630_149,plain,
    ( ( c0_1 @ a27 )
   <= ( c0_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl280_150,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl978,plain,
    ( ( ( c2_1 @ a27 )
      | ~ ( c3_1 @ a27 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl280]) ).

thf('214',plain,
    ( ( c2_1 @ a27 )
    | ~ ( c0_1 @ a27 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c3_1 @ a27 ) ),
    inference(split,[status(esa)],[zip_derived_cl978]) ).

thf(zip_derived_cl718_151,plain,
    ( ( c0_1 @ a11 )
   <= ( c0_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl484_152,plain,
    ( ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ( c2_1 @ X105 )
        | ~ ( c0_1 @ X105 ) )
   <= ! [X105: $i] :
        ( ( c1_1 @ X105 )
        | ( c2_1 @ X105 )
        | ~ ( c0_1 @ X105 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl1500,plain,
    ( ( ( c1_1 @ a11 )
      | ( c2_1 @ a11 ) )
   <= ( ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ( c2_1 @ X105 )
          | ~ ( c0_1 @ X105 ) )
      & ( c0_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl484]) ).

thf('215',plain,
    ( ~ ( c0_1 @ a11 )
    | ( c1_1 @ a11 )
    | ~ ! [X105: $i] :
          ( ( c1_1 @ X105 )
          | ( c2_1 @ X105 )
          | ~ ( c0_1 @ X105 ) )
    | ( c2_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1500]) ).

thf(zip_derived_cl686_153,plain,
    ( ( c0_1 @ a16 )
   <= ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl264,plain,
    ( ! [X12: $i] :
        ( ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1007,plain,
    ( ( ( c3_1 @ a16 )
      | ~ ( c1_1 @ a16 ) )
   <= ( ! [X12: $i] :
          ( ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c0_1 @ a16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl264]) ).

thf('216',plain,
    ( ~ ! [X12: $i] :
          ( ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a16 )
    | ( c3_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl1007]) ).

thf('217',plain,
    ( ( c0_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('218',plain,
    ( ( c1_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c3_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl68,plain,
    ! [X94: $i,X95: $i] :
      ( ( c0_1 @ X94 )
      | ( c2_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c1_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ( c2_1 @ X95 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl67,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c1_1 @ X92 )
      | ~ ( c0_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c3_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('222',plain,
    ( ( c0_1 @ a7 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp3
    | ( c3_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ( c3_1 @ a7 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl734_154,plain,
    ( ( c0_1 @ a7 )
   <= ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl280_155,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1055,plain,
    ( ( ( c2_1 @ a7 )
      | ~ ( c3_1 @ a7 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl280]) ).

thf('225',plain,
    ( ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c3_1 @ a7 )
    | ( c2_1 @ a7 )
    | ~ ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1055]) ).

thf('226',plain,
    ( hskp29
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c2_1 @ a35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ( c2_1 @ a35 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('228',plain,
    ( ( c0_1 @ a35 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('229',plain,
    ( ( c1_1 @ a35 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl526_156,plain,
    ( ( c0_1 @ a35 )
   <= ( c0_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl252_157,plain,
    ( ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl835,plain,
    ( ( ~ ( c1_1 @ a35 )
      | ~ ( c2_1 @ a35 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c0_1 @ a35 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl252]) ).

thf('230',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c0_1 @ a35 )
    | ~ ( c1_1 @ a35 )
    | ~ ( c2_1 @ a35 ) ),
    inference(split,[status(esa)],[zip_derived_cl835]) ).

thf(zip_derived_cl62,plain,
    ! [X81: $i,X82: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('232',plain,
    ( ( c1_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ~ ( c0_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ~ ( c2_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl440_158,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ~ ( c1_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl704,plain,
    ( ~ ( c0_1 @ a14 )
   <= ~ ( c0_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1761,plain,
    ( ( ~ ( c1_1 @ a14 )
      | ( c2_1 @ a14 ) )
   <= ( ~ ( c0_1 @ a14 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl704]) ).

thf('235',plain,
    ( ( c0_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ~ ( c1_1 @ X79 ) )
    | ~ ( c1_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1761]) ).

thf(zip_derived_cl15,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp7
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl734_159,plain,
    ( ( c0_1 @ a7 )
   <= ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl232_160,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1051,plain,
    ( ( ~ ( c1_1 @ a7 )
      | ~ ( c3_1 @ a7 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl734,zip_derived_cl232]) ).

thf('237',plain,
    ( ~ ( c1_1 @ a7 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a7 )
    | ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1051]) ).

thf(zip_derived_cl348_161,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1094,plain,
    ( ~ ( c1_1 @ a7 )
   <= ~ ( c1_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1051]) ).

thf(zip_derived_cl1198,plain,
    ( ( ~ ( c3_1 @ a7 )
      | ( c2_1 @ a7 ) )
   <= ( ~ ( c1_1 @ a7 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl1094]) ).

thf('238',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ( c1_1 @ a7 )
    | ~ ( c3_1 @ a7 )
    | ( c2_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1198]) ).

thf(zip_derived_cl42,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c2_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c3_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('239',plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl29008,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN498+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.52K1DBXwQw true
% 0.14/0.35  % Computer : n003.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 20:25:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.03/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.03/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.40/3.58  % Solved by fo/fo1_av.sh.
% 19.40/3.58  % done 4973 iterations in 2.736s
% 19.40/3.58  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.40/3.58  % SZS output start Refutation
% See solution above
% 19.40/3.59  
% 19.40/3.59  
% 19.40/3.59  % Terminating...
% 21.02/3.69  % Runner terminated.
% 21.02/3.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------