TSTP Solution File: SYN509+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.97udntk262 true

% Computer : n029.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 04:04:18 EDT 2023

% Result   : Theorem 9.83s 1.98s
% Output   : Refutation 9.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  718 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4680 (   0 equ;   0 cnn)
%            Maximal formula atoms :  799 (   7 avg)
%            Number of connectives : 10107 (2447   ~;2960   |; 508   &;3631   @)
%                                         (   0 <=>; 270  =>; 291  <=;   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   :  850 (   0   ^; 850   !;   0   ?; 850   :)

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

thf(a435_type,type,
    a435: $i ).

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

thf(a456_type,type,
    a456: $i ).

thf(a449_type,type,
    a449: $i ).

thf(a484_type,type,
    a484: $i ).

thf(a437_type,type,
    a437: $i ).

thf(a457_type,type,
    a457: $i ).

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

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

thf(a432_type,type,
    a432: $i ).

thf(a442_type,type,
    a442: $i ).

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

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

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

thf(a433_type,type,
    a433: $i ).

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

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

thf(a439_type,type,
    a439: $i ).

thf(a467_type,type,
    a467: $i ).

thf(a475_type,type,
    a475: $i ).

thf(a447_type,type,
    a447: $i ).

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

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

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

thf(a448_type,type,
    a448: $i ).

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

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

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

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

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

thf(a445_type,type,
    a445: $i ).

thf(a450_type,type,
    a450: $i ).

thf(a466_type,type,
    a466: $i ).

thf(a474_type,type,
    a474: $i ).

thf(a492_type,type,
    a492: $i ).

thf(a463_type,type,
    a463: $i ).

thf(a454_type,type,
    a454: $i ).

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

thf(a472_type,type,
    a472: $i ).

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

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

thf(a443_type,type,
    a443: $i ).

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

thf(a489_type,type,
    a489: $i ).

thf(a444_type,type,
    a444: $i ).

thf(a451_type,type,
    a451: $i ).

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

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

thf(a452_type,type,
    a452: $i ).

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

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

thf(a441_type,type,
    a441: $i ).

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

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

thf(a486_type,type,
    a486: $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(a434_type,type,
    a434: $i ).

thf(a509_type,type,
    a509: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c3_1 @ a432 )
          & ~ ( c0_1 @ a432 )
          & ~ ( c2_1 @ a432 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c0_1 @ a433 )
          & ~ ( c1_1 @ a433 )
          & ~ ( c2_1 @ a433 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a434 )
          & ~ ( c1_1 @ a434 )
          & ~ ( c3_1 @ a434 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a435 )
          & ~ ( c0_1 @ a435 )
          & ~ ( c3_1 @ a435 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a439 )
          & ( c3_1 @ a439 )
          & ~ ( c1_1 @ a439 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a441 )
          & ~ ( c2_1 @ a441 )
          & ~ ( c3_1 @ a441 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a442 )
          & ( c2_1 @ a442 )
          & ~ ( c3_1 @ a442 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a443 )
          & ~ ( c1_1 @ a443 )
          & ~ ( c2_1 @ a443 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a444 )
          & ~ ( c0_1 @ a444 )
          & ~ ( c3_1 @ a444 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a445 )
          & ~ ( c1_1 @ a445 )
          & ~ ( c3_1 @ a445 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a448 )
          & ~ ( c0_1 @ a448 )
          & ~ ( c2_1 @ a448 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a449 )
          & ~ ( c1_1 @ a449 )
          & ~ ( c3_1 @ a449 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a450 )
          & ( c3_1 @ a450 )
          & ~ ( c0_1 @ a450 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a451 )
          & ( c3_1 @ a451 )
          & ~ ( c1_1 @ a451 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a452 )
          & ( c1_1 @ a452 )
          & ~ ( c2_1 @ a452 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a454 )
          & ~ ( c0_1 @ a454 )
          & ~ ( c1_1 @ a454 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a457 )
          & ( c3_1 @ a457 )
          & ~ ( c2_1 @ a457 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a463 )
          & ( c2_1 @ a463 )
          & ~ ( c1_1 @ a463 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c1_1 @ a466 )
          & ~ ( c2_1 @ a466 )
          & ~ ( c3_1 @ a466 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a467 )
          & ~ ( c1_1 @ a467 )
          & ~ ( c2_1 @ a467 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a472 )
          & ( c3_1 @ a472 )
          & ~ ( c2_1 @ a472 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a474 )
          & ( c1_1 @ a474 )
          & ~ ( c3_1 @ a474 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a475 )
          & ~ ( c0_1 @ a475 )
          & ~ ( c1_1 @ a475 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a484 )
          & ~ ( c2_1 @ a484 )
          & ~ ( c3_1 @ a484 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a486 )
          & ( c2_1 @ a486 )
          & ~ ( c0_1 @ a486 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a489 )
          & ( c3_1 @ a489 )
          & ~ ( c0_1 @ a489 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a492 )
          & ( c2_1 @ a492 )
          & ~ ( c3_1 @ a492 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c0_1 @ a509 )
          & ~ ( c2_1 @ a509 )
          & ~ ( c3_1 @ a509 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a437 )
          & ( c2_1 @ a437 )
          & ( c3_1 @ a437 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a447 )
          & ( c2_1 @ a447 )
          & ( c3_1 @ a447 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a456 )
          & ( c1_1 @ a456 )
          & ( c2_1 @ a456 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ W )
              | ~ ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c3_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X1 )
              | ( c3_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) )
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp2 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp3 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c1_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X13 )
              | ~ ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | hskp1 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp28
        | hskp0 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp4
        | hskp1 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ( c3_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) )
        | hskp5 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X23 )
              | ~ ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | hskp28 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | hskp29
        | hskp10 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c0_1 @ X26 ) ) )
        | hskp11 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c0_1 @ X28 ) ) )
        | hskp12 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp13 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | hskp14
        | hskp2 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | hskp15
        | hskp9 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) ) )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp30
        | hskp16 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | hskp9 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c1_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) ) )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp14 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp13 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 ) ) ) )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 ) ) )
        | hskp17 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) ) )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp16 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | hskp6
        | hskp18 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | hskp19
        | hskp1 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X72 )
              | ~ ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp8 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c1_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp6 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) )
        | hskp5 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | hskp20 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | hskp1 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp8
        | hskp0 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp19 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp28 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) ) )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) )
        | hskp1 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ( c2_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) ) )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp3 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) ) )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp30
        | hskp11 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp23
        | hskp7 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ( c3_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | hskp24 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c0_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp23 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c3_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ( c3_1 @ X107 )
              | ~ ( c0_1 @ X107 ) ) )
        | hskp10 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 ) ) )
        | hskp25 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp4
        | hskp13 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp26
        | hskp8 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) )
        | ! [X113: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X113 )
              | ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 ) ) )
        | hskp8 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X114 )
              | ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 ) ) )
        | hskp29
        | hskp16 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X115 )
              | ~ ( c0_1 @ X115 )
              | ~ ( c3_1 @ X115 ) ) )
        | ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 ) ) )
        | hskp30 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X117 )
              | ~ ( c0_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) )
        | ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c3_1 @ X118 ) ) )
        | hskp19 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X119 )
              | ~ ( c1_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X120 )
              | ~ ( c1_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp25 )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X121 )
              | ~ ( c1_1 @ X121 )
              | ~ ( c3_1 @ X121 ) ) )
        | hskp30
        | hskp26 )
      & ( ! [X122: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X122 )
              | ~ ( c0_1 @ X122 )
              | ~ ( c2_1 @ X122 ) ) )
        | hskp14
        | hskp12 )
      & ( ! [X123: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X123 )
              | ~ ( c1_1 @ X123 )
              | ~ ( c2_1 @ X123 ) ) )
        | hskp28
        | hskp19 )
      & ( ! [X124: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X124 )
              | ~ ( c1_1 @ X124 )
              | ~ ( c3_1 @ X124 ) ) )
        | hskp24
        | hskp8 )
      & ( ! [X125: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X125 )
              | ~ ( c1_1 @ X125 )
              | ~ ( c3_1 @ X125 ) ) )
        | hskp26
        | hskp27 )
      & ( ! [X126: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X126 )
              | ~ ( c1_1 @ X126 )
              | ~ ( c3_1 @ X126 ) ) )
        | hskp12
        | hskp3 )
      & ( ! [X127: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X127 )
              | ~ ( c2_1 @ X127 )
              | ~ ( c3_1 @ X127 ) ) )
        | hskp29
        | hskp0 )
      & ( ! [X128: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X128 )
              | ~ ( c2_1 @ X128 )
              | ~ ( c3_1 @ X128 ) ) )
        | hskp11
        | hskp15 )
      & ( ! [X129: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X129 )
              | ~ ( c2_1 @ X129 )
              | ~ ( c3_1 @ X129 ) ) )
        | hskp6
        | hskp0 )
      & ( hskp30
        | hskp14
        | hskp24 )
      & ( hskp14
        | hskp19
        | hskp13 )
      & ( hskp17
        | hskp10
        | hskp23 )
      & ( hskp6
        | hskp20
        | hskp13 )
      & ( hskp24
        | hskp12
        | hskp3 )
      & ( hskp10
        | hskp8
        | hskp1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c3_1 @ a432 )
        & ~ ( c0_1 @ a432 )
        & ~ ( c2_1 @ a432 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c0_1 @ a433 )
        & ~ ( c1_1 @ a433 )
        & ~ ( c2_1 @ a433 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a434 )
        & ~ ( c1_1 @ a434 )
        & ~ ( c3_1 @ a434 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a435 )
        & ~ ( c0_1 @ a435 )
        & ~ ( c3_1 @ a435 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a439 )
        & ( c3_1 @ a439 )
        & ~ ( c1_1 @ a439 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a441 )
        & ~ ( c2_1 @ a441 )
        & ~ ( c3_1 @ a441 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a442 )
        & ( c2_1 @ a442 )
        & ~ ( c3_1 @ a442 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a443 )
        & ~ ( c1_1 @ a443 )
        & ~ ( c2_1 @ a443 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a444 )
        & ~ ( c0_1 @ a444 )
        & ~ ( c3_1 @ a444 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a445 )
        & ~ ( c1_1 @ a445 )
        & ~ ( c3_1 @ a445 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a448 )
        & ~ ( c0_1 @ a448 )
        & ~ ( c2_1 @ a448 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a449 )
        & ~ ( c1_1 @ a449 )
        & ~ ( c3_1 @ a449 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a450 )
        & ( c3_1 @ a450 )
        & ~ ( c0_1 @ a450 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a451 )
        & ( c3_1 @ a451 )
        & ~ ( c1_1 @ a451 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a452 )
        & ( c1_1 @ a452 )
        & ~ ( c2_1 @ a452 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a454 )
        & ~ ( c0_1 @ a454 )
        & ~ ( c1_1 @ a454 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a457 )
        & ( c3_1 @ a457 )
        & ~ ( c2_1 @ a457 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a463 )
        & ( c2_1 @ a463 )
        & ~ ( c1_1 @ a463 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c1_1 @ a466 )
        & ~ ( c2_1 @ a466 )
        & ~ ( c3_1 @ a466 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a467 )
        & ~ ( c1_1 @ a467 )
        & ~ ( c2_1 @ a467 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a472 )
        & ( c3_1 @ a472 )
        & ~ ( c2_1 @ a472 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a474 )
        & ( c1_1 @ a474 )
        & ~ ( c3_1 @ a474 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a475 )
        & ~ ( c0_1 @ a475 )
        & ~ ( c1_1 @ a475 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a484 )
        & ~ ( c2_1 @ a484 )
        & ~ ( c3_1 @ a484 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a486 )
        & ( c2_1 @ a486 )
        & ~ ( c0_1 @ a486 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a489 )
        & ( c3_1 @ a489 )
        & ~ ( c0_1 @ a489 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a492 )
        & ( c2_1 @ a492 )
        & ~ ( c3_1 @ a492 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c0_1 @ a509 )
        & ~ ( c2_1 @ a509 )
        & ~ ( c3_1 @ a509 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a437 )
        & ( c2_1 @ a437 )
        & ( c3_1 @ a437 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a447 )
        & ( c2_1 @ a447 )
        & ( c3_1 @ a447 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a456 )
        & ( c1_1 @ a456 )
        & ( c2_1 @ a456 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ W )
            | ~ ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c3_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X1 )
            | ( c3_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) )
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp2 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp3 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c1_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X13 )
            | ~ ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | hskp1 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp28
      | hskp0 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp4
      | hskp1 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ( c3_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) )
      | hskp5 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X23 )
            | ~ ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | hskp28 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | hskp29
      | hskp10 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c0_1 @ X26 ) ) )
      | hskp11 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c0_1 @ X28 ) ) )
      | hskp12 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp13 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | hskp14
      | hskp2 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | hskp15
      | hskp9 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) ) )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp30
      | hskp16 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | hskp9 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c1_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) ) )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp14 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp13 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 ) ) ) )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 ) ) )
      | hskp17 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) ) )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp16 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | hskp6
      | hskp18 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | hskp19
      | hskp1 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X72 )
            | ~ ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp8 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c1_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp6 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) )
      | hskp5 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | hskp20 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | hskp1 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp8
      | hskp0 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp19 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp28 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) ) )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) )
      | hskp1 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ( c2_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) ) )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp3 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) ) )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp30
      | hskp11 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp23
      | hskp7 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ( c3_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | hskp24 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c0_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp23 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c3_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ( c3_1 @ X107 )
            | ~ ( c0_1 @ X107 ) ) )
      | hskp10 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 ) ) )
      | hskp25 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp4
      | hskp13 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp26
      | hskp8 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) )
      | ! [X113: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X113 )
            | ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 ) ) )
      | hskp8 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X114 )
            | ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 ) ) )
      | hskp29
      | hskp16 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X115 )
            | ~ ( c0_1 @ X115 )
            | ~ ( c3_1 @ X115 ) ) )
      | ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 ) ) )
      | hskp30 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X117 )
            | ~ ( c0_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) )
      | ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c3_1 @ X118 ) ) )
      | hskp19 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X119 )
            | ~ ( c1_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X120 )
            | ~ ( c1_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp25 )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X121 )
            | ~ ( c1_1 @ X121 )
            | ~ ( c3_1 @ X121 ) ) )
      | hskp30
      | hskp26 )
    & ( ! [X122: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X122 )
            | ~ ( c0_1 @ X122 )
            | ~ ( c2_1 @ X122 ) ) )
      | hskp14
      | hskp12 )
    & ( ! [X123: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X123 )
            | ~ ( c1_1 @ X123 )
            | ~ ( c2_1 @ X123 ) ) )
      | hskp28
      | hskp19 )
    & ( ! [X124: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X124 )
            | ~ ( c1_1 @ X124 )
            | ~ ( c3_1 @ X124 ) ) )
      | hskp24
      | hskp8 )
    & ( ! [X125: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X125 )
            | ~ ( c1_1 @ X125 )
            | ~ ( c3_1 @ X125 ) ) )
      | hskp26
      | hskp27 )
    & ( ! [X126: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X126 )
            | ~ ( c1_1 @ X126 )
            | ~ ( c3_1 @ X126 ) ) )
      | hskp12
      | hskp3 )
    & ( ! [X127: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X127 )
            | ~ ( c2_1 @ X127 )
            | ~ ( c3_1 @ X127 ) ) )
      | hskp29
      | hskp0 )
    & ( ! [X128: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X128 )
            | ~ ( c2_1 @ X128 )
            | ~ ( c3_1 @ X128 ) ) )
      | hskp11
      | hskp15 )
    & ( ! [X129: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X129 )
            | ~ ( c2_1 @ X129 )
            | ~ ( c3_1 @ X129 ) ) )
      | hskp6
      | hskp0 )
    & ( hskp30
      | hskp14
      | hskp24 )
    & ( hskp14
      | hskp19
      | hskp13 )
    & ( hskp17
      | hskp10
      | hskp23 )
    & ( hskp6
      | hskp20
      | hskp13 )
    & ( hskp24
      | hskp12
      | hskp3 )
    & ( hskp10
      | hskp8
      | hskp1 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl28,plain,
    ! [X30: $i,X31: $i,X32: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl673,plain,
    ( ~ ( c1_1 @ a449 )
   <= ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1254,plain,
    ( ( ~ ( c0_1 @ a449 )
      | ( c3_1 @ a449 ) )
   <= ( ~ ( c1_1 @ a449 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl673]) ).

thf('0',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a449 )
    | ( c1_1 @ a449 )
    | ( c3_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1254]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c1_1 @ a486 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c1_1 @ a486 )
   <= ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp6
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,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_cl6]) ).

thf(zip_derived_cl1434,plain,
    ( ( ~ ( c2_1 @ a486 )
      | ~ ( c3_1 @ a486 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl222]) ).

thf('1',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a486 )
    | ~ ( c2_1 @ a486 )
    | ~ ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1434]) ).

thf(zip_derived_cl66,plain,
    ! [X108: $i] :
      ( ( c0_1 @ X108 )
      | ( c1_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl462,plain,
    ( ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
   <= ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a433 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl753,plain,
    ( ~ ( c1_1 @ a433 )
   <= ~ ( c1_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl2155,plain,
    ( ( ~ ( c3_1 @ a433 )
      | ( c0_1 @ a433 ) )
   <= ( ~ ( c1_1 @ a433 )
      & ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl753]) ).

thf('2',plain,
    ( ~ ( c3_1 @ a433 )
    | ( c0_1 @ a433 )
    | ~ ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) )
    | ( c1_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl2155]) ).

thf(zip_derived_cl16,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | hskp19
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl37,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp1
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp3
    | ( c1_1 @ a435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl735,plain,
    ( ( c1_1 @ a435 )
   <= ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl59,plain,
    ! [X97: $i] :
      ( ( c0_1 @ X97 )
      | ( c2_1 @ X97 )
      | ~ ( c1_1 @ X97 )
      | ~ ndr1_0
      | hskp15
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl434,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1990,plain,
    ( ( ( c0_1 @ a435 )
      | ( c2_1 @ a435 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
      & ( c1_1 @ a435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl434]) ).

thf('5',plain,
    ( ( c2_1 @ a435 )
    | ( c0_1 @ a435 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
    | ~ ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1990]) ).

thf(zip_derived_cl735_001,plain,
    ( ( c1_1 @ a435 )
   <= ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp28
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1656,plain,
    ( ( ( c3_1 @ a435 )
      | ~ ( c2_1 @ a435 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl246]) ).

thf('6',plain,
    ( ~ ( c2_1 @ a435 )
    | ~ ( c1_1 @ a435 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1656]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ( c1_1 @ a492 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl551,plain,
    ( ( c1_1 @ a492 )
   <= ( c1_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl17,plain,
    ! [X13: $i,X14: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl266,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1426,plain,
    ( ( ~ ( c0_1 @ a492 )
      | ~ ( c2_1 @ a492 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ( c1_1 @ a492 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl266]) ).

thf('7',plain,
    ( ~ ( c0_1 @ a492 )
    | ~ ( c1_1 @ a492 )
    | ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
    | ~ ( c2_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf(zip_derived_cl551_002,plain,
    ( ( c1_1 @ a492 )
   <= ( c1_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl50,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c0_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c2_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c3_1 @ X77 )
      | ~ ( c0_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl400,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1929,plain,
    ( ( ( c0_1 @ a492 )
      | ( c3_1 @ a492 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a492 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl400]) ).

thf('8',plain,
    ( ~ ( c1_1 @ a492 )
    | ( c0_1 @ a492 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c3_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl1929]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c1_1 @ a456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( c1_1 @ a456 )
   <= ( c1_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl266_003,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1325,plain,
    ( ( ~ ( c0_1 @ a456 )
      | ~ ( c2_1 @ a456 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
      & ( c1_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl266]) ).

thf('9',plain,
    ( ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 ) )
    | ~ ( c0_1 @ a456 )
    | ~ ( c1_1 @ a456 )
    | ~ ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1325]) ).

thf('10',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl20,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp26
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl278,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp12
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl928,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl234]) ).

thf(zip_derived_cl959,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl928]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ( c3_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ( c3_1 @ a472 )
   <= ( c3_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl2350,plain,
    ( ~ ( c0_1 @ a472 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a472 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl601]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c0_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c0_1 @ a472 )
   <= ( c0_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('11',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a472 )
    | ~ ( c0_1 @ a472 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2350,zip_derived_cl599]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c2_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl655,plain,
    ( ( c2_1 @ a451 )
   <= ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp11
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1590,plain,
    ( ( ~ ( c0_1 @ a451 )
      | ~ ( c3_1 @ a451 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a451 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl226]) ).

thf('12',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a451 )
    | ~ ( c3_1 @ a451 )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1590]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ( c1_1 @ a452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ( c1_1 @ a452 )
   <= ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl234_004,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1535,plain,
    ( ( ~ ( c0_1 @ a452 )
      | ~ ( c3_1 @ a452 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c1_1 @ a452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl234]) ).

thf('13',plain,
    ( ~ ( c3_1 @ a452 )
    | ~ ( c1_1 @ a452 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl1535]) ).

thf(zip_derived_cl51,plain,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( c0_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | ( c2_1 @ X79 )
      | ~ ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ( c2_1 @ a492 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    ( ( c2_1 @ a492 )
   <= ( c2_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp14
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1431,plain,
    ( ( ( c3_1 @ a492 )
      | ~ ( c0_1 @ a492 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c2_1 @ a492 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl250]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a492 )
    | ( c3_1 @ a492 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c2_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl1431]) ).

thf(zip_derived_cl40,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ( c2_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp6
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl3,plain,
    ( hskp17
    | hskp10
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( hskp23
    | hskp17
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl26,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp23
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c1_1 @ a463 )
   <= ~ ( c1_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1189,plain,
    ( ( ~ ( c2_1 @ a463 )
      | ( c3_1 @ a463 ) )
   <= ( ~ ( c1_1 @ a463 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl627]) ).

thf('18',plain,
    ( ( c1_1 @ a463 )
    | ~ ( c2_1 @ a463 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
    | ( c3_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl1189]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp17
    | ( c0_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ( c0_1 @ a463 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp17
    | ( c2_1 @ a463 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ~ hskp17
    | ( c2_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('21',plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl625,plain,
    ( ( c2_1 @ a463 )
   <= ( c2_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl226_005,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1500,plain,
    ( ( ~ ( c0_1 @ a463 )
      | ~ ( c3_1 @ a463 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a463 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl226]) ).

thf('22',plain,
    ( ~ ( c2_1 @ a463 )
    | ~ ( c0_1 @ a463 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a463 ) ),
    inference(split,[status(esa)],[zip_derived_cl1500]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c1_1 @ a448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ~ hskp10
    | ( c1_1 @ a448 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a448 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a448 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl679,plain,
    ( ( c1_1 @ a448 )
   <= ( c1_1 @ a448 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl434_006,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1991,plain,
    ( ( ( c0_1 @ a448 )
      | ( c2_1 @ a448 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
      & ( c1_1 @ a448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl434]) ).

thf('26',plain,
    ( ( c2_1 @ a448 )
    | ( c0_1 @ a448 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
    | ~ ( c1_1 @ a448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1991]) ).

thf(zip_derived_cl62,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ( c1_1 @ X101 )
      | ~ ndr1_0
      | ( c1_1 @ X102 )
      | ( c3_1 @ X102 )
      | ~ ( c0_1 @ X102 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp12
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ( c1_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl575,plain,
    ( ( c1_1 @ a484 )
   <= ( c1_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl434_007,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1996,plain,
    ( ( ( c0_1 @ a484 )
      | ( c2_1 @ a484 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
      & ( c1_1 @ a484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl434]) ).

thf('28',plain,
    ( ( c0_1 @ a484 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
    | ~ ( c1_1 @ a484 )
    | ( c2_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1996]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp30
    | ( c2_1 @ a456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ( c2_1 @ a456 )
   <= ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl250_008,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1340,plain,
    ( ( ( c3_1 @ a456 )
      | ~ ( c0_1 @ a456 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c2_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl250]) ).

thf('29',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ( c3_1 @ a456 )
    | ~ ( c0_1 @ a456 )
    | ~ ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1340]) ).

thf(zip_derived_cl551_009,plain,
    ( ( c1_1 @ a492 )
   <= ( c1_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl359,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1817,plain,
    ( ( ( c0_1 @ a492 )
      | ~ ( c2_1 @ a492 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c1_1 @ a492 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl359]) ).

thf('30',plain,
    ( ~ ( c1_1 @ a492 )
    | ~ ( c2_1 @ a492 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ( c0_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf(zip_derived_cl278_010,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c1_1 @ a467 )
   <= ~ ( c1_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl944,plain,
    ( ( ~ ( c3_1 @ a467 )
      | ~ ( c0_1 @ a467 ) )
   <= ( ~ ( c1_1 @ a467 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl609]) ).

thf('31',plain,
    ( ~ ( c3_1 @ a467 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a467 )
    | ( c1_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl944]) ).

thf(zip_derived_cl462_011,plain,
    ( ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
   <= ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( c1_1 @ a454 )
   <= ~ ( c1_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2162,plain,
    ( ( ~ ( c3_1 @ a454 )
      | ( c0_1 @ a454 ) )
   <= ( ~ ( c1_1 @ a454 )
      & ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl643]) ).

thf('32',plain,
    ( ( c0_1 @ a454 )
    | ( c1_1 @ a454 )
    | ~ ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) )
    | ~ ( c3_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl2162]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a433 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ~ ( c0_1 @ a433 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl54,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl414,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_cl54]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a433 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl755,plain,
    ( ~ ( c2_1 @ a433 )
   <= ~ ( c2_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl2015,plain,
    ( ( ~ ( c3_1 @ a433 )
      | ( c0_1 @ a433 ) )
   <= ( ~ ( c2_1 @ a433 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl755]) ).

thf('34',plain,
    ( ~ ( c3_1 @ a433 )
    | ( c0_1 @ a433 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ( c2_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl2015]) ).

thf('35',plain,
    ( ~ ( c1_1 @ a433 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('36',plain,
    ( ~ ( c2_1 @ a433 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl34,plain,
    ! [X45: $i,X46: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ( c3_1 @ X45 )
      | ~ ndr1_0
      | ( c3_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl42,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp19
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( hskp1
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl567_012,plain,
    ( ( c1_1 @ a486 )
   <= ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl246_013,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1436,plain,
    ( ( ( c3_1 @ a486 )
      | ~ ( c2_1 @ a486 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl246]) ).

thf('39',plain,
    ( ( c3_1 @ a486 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a486 )
    | ~ ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1436]) ).

thf(zip_derived_cl335,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl753_014,plain,
    ( ~ ( c1_1 @ a433 )
   <= ~ ( c1_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl1718,plain,
    ( ( ( c3_1 @ a433 )
      | ( c2_1 @ a433 ) )
   <= ( ~ ( c1_1 @ a433 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl753]) ).

thf('40',plain,
    ( ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) )
    | ( c3_1 @ a433 )
    | ( c1_1 @ a433 )
    | ( c2_1 @ a433 ) ),
    inference(split,[status(esa)],[zip_derived_cl1718]) ).

thf(zip_derived_cl32,plain,
    ! [X40: $i,X41: $i,X42: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ndr1_0
      | ( c1_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) )
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl521_015,plain,
    ( ( c1_1 @ a456 )
   <= ( c1_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl222_016,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_cl6]) ).

thf(zip_derived_cl1321,plain,
    ( ( ~ ( c2_1 @ a456 )
      | ~ ( c3_1 @ a456 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl222]) ).

thf('42',plain,
    ( ~ ( c3_1 @ a456 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a456 )
    | ~ ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1321]) ).

thf(zip_derived_cl41,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c0_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp8
    | ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c1_1 @ a450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ( c1_1 @ a450 )
   <= ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl359_017,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1811,plain,
    ( ( ( c0_1 @ a450 )
      | ~ ( c2_1 @ a450 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c1_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl359]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a450 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ( c0_1 @ a450 )
    | ~ ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1811]) ).

thf(zip_derived_cl663_018,plain,
    ( ( c1_1 @ a450 )
   <= ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl222_019,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_cl6]) ).

thf(zip_derived_cl1596,plain,
    ( ( ~ ( c2_1 @ a450 )
      | ~ ( c3_1 @ a450 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl222]) ).

thf('45',plain,
    ( ~ ( c1_1 @ a450 )
    | ~ ( c2_1 @ a450 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1596]) ).

thf('46',plain,
    ( hskp12
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c1_1 @ a457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( c1_1 @ a457 )
   <= ( c1_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl434_020,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1994,plain,
    ( ( ( c0_1 @ a457 )
      | ( c2_1 @ a457 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
      & ( c1_1 @ a457 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl434]) ).

thf('47',plain,
    ( ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
    | ( c0_1 @ a457 )
    | ( c2_1 @ a457 )
    | ~ ( c1_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1994]) ).

thf(zip_derived_cl58,plain,
    ! [X94: $i,X95: $i,X96: $i] :
      ( ( c0_1 @ X94 )
      | ( c2_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c0_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0
      | ( c0_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c2_1 @ a444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c2_1 @ a444 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c0_1 @ a444 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c3_1 @ a444 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl35,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp8
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp8
    | hskp0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl695,plain,
    ( ( c2_1 @ a444 )
   <= ( c2_1 @ a444 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl366,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_cl42]) ).

thf(zip_derived_cl1860,plain,
    ( ( ( c0_1 @ a444 )
      | ( c3_1 @ a444 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ( c2_1 @ a444 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl366]) ).

thf('53',plain,
    ( ~ ( c2_1 @ a444 )
    | ( c0_1 @ a444 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c3_1 @ a444 ) ),
    inference(split,[status(esa)],[zip_derived_cl1860]) ).

thf(zip_derived_cl71,plain,
    ! [X115: $i] :
      ( ( c0_1 @ X115 )
      | ( c1_1 @ X115 )
      | ~ ( c2_1 @ X115 )
      | ~ ndr1_0
      | hskp28
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp28
    | ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl70,plain,
    ! [X114: $i] :
      ( ( c0_1 @ X114 )
      | ( c1_1 @ X114 )
      | ~ ( c2_1 @ X114 )
      | ~ ndr1_0
      | hskp4
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl477,plain,
    ( ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) )
   <= ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2204,plain,
    ( ( ~ ( c2_1 @ a451 )
      | ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl659]) ).

thf('55',plain,
    ( ( c0_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl2204]) ).

thf(zip_derived_cl55,plain,
    ! [X87: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp30
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( hskp16
    | hskp30
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl311_021,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl745,plain,
    ( ~ ( c1_1 @ a434 )
   <= ~ ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1250,plain,
    ( ( ~ ( c0_1 @ a434 )
      | ( c3_1 @ a434 ) )
   <= ( ~ ( c1_1 @ a434 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl745]) ).

thf('57',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a434 )
    | ( c3_1 @ a434 )
    | ~ ( c0_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1250]) ).

thf(zip_derived_cl38,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c1_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( hskp20
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl61,plain,
    ! [X99: $i,X100: $i] :
      ( ( c0_1 @ X99 )
      | ( c2_1 @ X99 )
      | ~ ( c1_1 @ X99 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X100 )
      | ~ ( c1_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c1_1 @ a447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( c1_1 @ a447 )
   <= ( c1_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl234_022,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1342,plain,
    ( ( ~ ( c0_1 @ a447 )
      | ~ ( c3_1 @ a447 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c1_1 @ a447 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl234]) ).

thf('60',plain,
    ( ~ ( c0_1 @ a447 )
    | ~ ( c3_1 @ a447 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl1342]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i,X17: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    ( ~ ( c1_1 @ a439 )
   <= ~ ( c1_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl890,plain,
    ( ( ~ ( c3_1 @ a439 )
      | ~ ( c2_1 @ a439 ) )
   <= ( ~ ( c1_1 @ a439 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl731]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a439 )
    | ( c1_1 @ a439 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c3_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl890]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ( c0_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ( c0_1 @ a439 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ( c3_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ( c3_1 @ a439 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('64',plain,
    ( ~ ( c1_1 @ a439 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl21,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp4
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp4
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl959_023,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl928]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539,plain,
    ( ( c3_1 @ a437 )
   <= ( c3_1 @ a437 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl2352,plain,
    ( ~ ( c0_1 @ a437 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a437 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl539]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c0_1 @ a437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( c0_1 @ a437 )
   <= ( c0_1 @ a437 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('66',plain,
    ( ~ ( c0_1 @ a437 )
    | ~ ( c3_1 @ a437 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2352,zip_derived_cl535]) ).

thf(zip_derived_cl521_024,plain,
    ( ( c1_1 @ a456 )
   <= ( c1_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl234_025,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1322,plain,
    ( ( ~ ( c0_1 @ a456 )
      | ~ ( c3_1 @ a456 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c1_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl234]) ).

thf('67',plain,
    ( ~ ( c3_1 @ a456 )
    | ~ ( c1_1 @ a456 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c0_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1322]) ).

thf(zip_derived_cl663_026,plain,
    ( ( c1_1 @ a450 )
   <= ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp30
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1599,plain,
    ( ( ( c2_1 @ a450 )
      | ~ ( c3_1 @ a450 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl254]) ).

thf('68',plain,
    ( ~ ( c1_1 @ a450 )
    | ~ ( c3_1 @ a450 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c2_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf(zip_derived_cl328,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl731_027,plain,
    ( ~ ( c1_1 @ a439 )
   <= ~ ( c1_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1560,plain,
    ( ( ~ ( c0_1 @ a439 )
      | ( c2_1 @ a439 ) )
   <= ( ~ ( c1_1 @ a439 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl731]) ).

thf('69',plain,
    ( ( c2_1 @ a439 )
    | ( c1_1 @ a439 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 ) )
    | ~ ( c0_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl1560]) ).

thf(zip_derived_cl47,plain,
    ! [X68: $i,X69: $i,X70: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | ( c3_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl30,plain,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl320,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl643_028,plain,
    ( ~ ( c1_1 @ a454 )
   <= ~ ( c1_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1380,plain,
    ( ( ~ ( c3_1 @ a454 )
      | ( c2_1 @ a454 ) )
   <= ( ~ ( c1_1 @ a454 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl643]) ).

thf('72',plain,
    ( ( c2_1 @ a454 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c1_1 @ a454 )
    | ~ ( c3_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl1380]) ).

thf(zip_derived_cl23,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c2_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c2_1 @ a467 )
   <= ~ ( c2_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1039,plain,
    ( ( ~ ( c0_1 @ a467 )
      | ( c3_1 @ a467 ) )
   <= ( ~ ( c2_1 @ a467 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl611]) ).

thf('73',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) )
    | ( c3_1 @ a467 )
    | ( c2_1 @ a467 )
    | ~ ( c0_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl735_029,plain,
    ( ( c1_1 @ a435 )
   <= ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl25,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1661,plain,
    ( ( ( c2_1 @ a435 )
      | ( c3_1 @ a435 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl298]) ).

thf('74',plain,
    ( ( c2_1 @ a435 )
    | ( c3_1 @ a435 )
    | ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ~ ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1661]) ).

thf(zip_derived_cl1,plain,
    ( hskp24
    | hskp12
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( hskp12
    | hskp24
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl60,plain,
    ! [X98: $i] :
      ( ( c0_1 @ X98 )
      | ( c2_1 @ X98 )
      | ~ ( c1_1 @ X98 )
      | ~ ndr1_0
      | hskp14
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( hskp2
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf('77',plain,
    ( ~ ( c1_1 @ a434 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl302_030,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl745_031,plain,
    ( ~ ( c1_1 @ a434 )
   <= ~ ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1182,plain,
    ( ( ~ ( c2_1 @ a434 )
      | ( c3_1 @ a434 ) )
   <= ( ~ ( c1_1 @ a434 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl745]) ).

thf('78',plain,
    ( ~ ( c2_1 @ a434 )
    | ( c1_1 @ a434 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
    | ( c3_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1182]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c0_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ( c0_1 @ a434 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c3_1 @ a434 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl290_032,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl275_033,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl745_034,plain,
    ( ~ ( c1_1 @ a434 )
   <= ~ ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl889,plain,
    ( ( ~ ( c3_1 @ a434 )
      | ~ ( c2_1 @ a434 ) )
   <= ( ~ ( c1_1 @ a434 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl745]) ).

thf(zip_derived_cl966,plain,
    ( ~ ( c2_1 @ a434 )
   <= ~ ( c2_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl889]) ).

thf(zip_derived_cl1026,plain,
    ( ( ~ ( c0_1 @ a434 )
      | ( c3_1 @ a434 ) )
   <= ( ~ ( c2_1 @ a434 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl966]) ).

thf('81',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) )
    | ( c2_1 @ a434 )
    | ( c3_1 @ a434 )
    | ~ ( c0_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1026]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a443 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( c2_1 @ a443 )
   <= ~ ( c2_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl263,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl829,plain,
    ( ( ~ ( c0_1 @ a443 )
      | ~ ( c3_1 @ a443 ) )
   <= ( ~ ( c2_1 @ a443 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl263]) ).

thf('82',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c0_1 @ a443 )
    | ~ ( c3_1 @ a443 )
    | ( c2_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl829]) ).

thf(zip_derived_cl69,plain,
    ! [X112: $i,X113: $i] :
      ( ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ~ ( c3_1 @ X112 )
      | ~ ndr1_0
      | ( c1_1 @ X113 )
      | ( c3_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( hskp5
    | ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl462_035,plain,
    ( ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
   <= ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a443 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( c1_1 @ a443 )
   <= ~ ( c1_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl2158,plain,
    ( ( ~ ( c3_1 @ a443 )
      | ( c0_1 @ a443 ) )
   <= ( ~ ( c1_1 @ a443 )
      & ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl705]) ).

thf('84',plain,
    ( ( c1_1 @ a443 )
    | ( c0_1 @ a443 )
    | ~ ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) )
    | ~ ( c3_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl2158]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ( c0_1 @ a441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ( c0_1 @ a441 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a441 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ ( c3_1 @ a441 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl290_036,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl721,plain,
    ( ~ ( c2_1 @ a441 )
   <= ~ ( c2_1 @ a441 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1028,plain,
    ( ( ~ ( c0_1 @ a441 )
      | ( c3_1 @ a441 ) )
   <= ( ~ ( c2_1 @ a441 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl721]) ).

thf('88',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) )
    | ( c2_1 @ a441 )
    | ( c3_1 @ a441 )
    | ~ ( c0_1 @ a441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1028]) ).

thf('89',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp6
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl414_037,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_cl54]) ).

thf(zip_derived_cl1696,plain,
    ( ~ ( c2_1 @ a450 )
   <= ~ ( c2_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1596]) ).

thf(zip_derived_cl2024,plain,
    ( ( ~ ( c3_1 @ a450 )
      | ( c0_1 @ a450 ) )
   <= ( ~ ( c2_1 @ a450 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl1696]) ).

thf('90',plain,
    ( ( c2_1 @ a450 )
    | ( c0_1 @ a450 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ~ ( c3_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl2024]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp29
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( hskp29
    | hskp0
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl263_038,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c2_1 @ a457 )
   <= ~ ( c2_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl813,plain,
    ( ( ~ ( c3_1 @ a457 )
      | ~ ( c0_1 @ a457 ) )
   <= ( ~ ( c2_1 @ a457 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl635]) ).

thf('92',plain,
    ( ~ ( c0_1 @ a457 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a457 )
    | ~ ( c3_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl414_039,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_cl54]) ).

thf(zip_derived_cl635_040,plain,
    ( ~ ( c2_1 @ a457 )
   <= ~ ( c2_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2028,plain,
    ( ( ~ ( c3_1 @ a457 )
      | ( c0_1 @ a457 ) )
   <= ( ~ ( c2_1 @ a457 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl635]) ).

thf('93',plain,
    ( ( c0_1 @ a457 )
    | ( c2_1 @ a457 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ~ ( c3_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl2028]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c3_1 @ a432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c3_1 @ a432 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c0_1 @ a432 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a432 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ ( c2_1 @ a432 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl414_041,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_cl54]) ).

thf(zip_derived_cl763,plain,
    ( ~ ( c2_1 @ a432 )
   <= ~ ( c2_1 @ a432 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl2014,plain,
    ( ( ~ ( c3_1 @ a432 )
      | ( c0_1 @ a432 ) )
   <= ( ~ ( c2_1 @ a432 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl763]) ).

thf('97',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ( c0_1 @ a432 )
    | ( c2_1 @ a432 )
    | ~ ( c3_1 @ a432 ) ),
    inference(split,[status(esa)],[zip_derived_cl2014]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ( c2_1 @ a486 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ( c2_1 @ a486 )
   <= ( c2_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl366_042,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_cl42]) ).

thf(zip_derived_cl1865,plain,
    ( ( ( c0_1 @ a486 )
      | ( c3_1 @ a486 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ( c2_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl366]) ).

thf('98',plain,
    ( ( c3_1 @ a486 )
    | ( c0_1 @ a486 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1865]) ).

thf(zip_derived_cl57,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ~ ( c0_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('100',plain,
    ( ( c1_1 @ a447 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl527_043,plain,
    ( ( c1_1 @ a447 )
   <= ( c1_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl222_044,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_cl6]) ).

thf(zip_derived_cl1341,plain,
    ( ( ~ ( c2_1 @ a447 )
      | ~ ( c3_1 @ a447 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a447 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl222]) ).

thf('101',plain,
    ( ~ ( c1_1 @ a447 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a447 )
    | ~ ( c3_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl1341]) ).

thf('102',plain,
    ( hskp11
    | hskp15
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl477_045,plain,
    ( ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) )
   <= ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl643_046,plain,
    ( ~ ( c1_1 @ a454 )
   <= ~ ( c1_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2205,plain,
    ( ( ~ ( c2_1 @ a454 )
      | ( c0_1 @ a454 ) )
   <= ( ~ ( c1_1 @ a454 )
      & ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl643]) ).

thf('103',plain,
    ( ~ ( c2_1 @ a454 )
    | ( c1_1 @ a454 )
    | ~ ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) )
    | ( c0_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl2205]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c3_1 @ a454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c3_1 @ a454 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c0_1 @ a454 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('106',plain,
    ( ~ ( c1_1 @ a454 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl414_047,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_cl54]) ).

thf(zip_derived_cl275_048,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl643_049,plain,
    ( ~ ( c1_1 @ a454 )
   <= ~ ( c1_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl895,plain,
    ( ( ~ ( c3_1 @ a454 )
      | ~ ( c2_1 @ a454 ) )
   <= ( ~ ( c1_1 @ a454 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl643]) ).

thf(zip_derived_cl990,plain,
    ( ~ ( c2_1 @ a454 )
   <= ~ ( c2_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl895]) ).

thf(zip_derived_cl2027,plain,
    ( ( ~ ( c3_1 @ a454 )
      | ( c0_1 @ a454 ) )
   <= ( ~ ( c2_1 @ a454 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl990]) ).

thf('107',plain,
    ( ( c0_1 @ a454 )
    | ( c2_1 @ a454 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c3_1 @ X86 ) )
    | ~ ( c3_1 @ a454 ) ),
    inference(split,[status(esa)],[zip_derived_cl2027]) ).

thf(zip_derived_cl73,plain,
    ! [X118: $i,X119: $i,X120: $i] :
      ( ( c0_1 @ X118 )
      | ( c1_1 @ X118 )
      | ~ ( c2_1 @ X118 )
      | ~ ndr1_0
      | ( c2_1 @ X119 )
      | ~ ( c0_1 @ X119 )
      | ~ ( c1_1 @ X119 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X120 )
      | ~ ( c2_1 @ X120 )
      | ~ ( c3_1 @ X120 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl56,plain,
    ! [X88: $i,X89: $i,X90: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ( c0_1 @ X90 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c3_1 @ X86 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl649_050,plain,
    ( ( c1_1 @ a452 )
   <= ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl298_051,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( c2_1 @ a452 )
      | ( c3_1 @ a452 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl298]) ).

thf('110',plain,
    ( ( c3_1 @ a452 )
    | ( c2_1 @ a452 )
    | ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ~ ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl1541]) ).

thf(zip_derived_cl290_052,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( c2_1 @ a452 )
   <= ~ ( c2_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1034,plain,
    ( ( ~ ( c0_1 @ a452 )
      | ( c3_1 @ a452 ) )
   <= ( ~ ( c2_1 @ a452 )
      & ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl651]) ).

thf('111',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c0_1 @ X23 ) )
    | ( c3_1 @ a452 )
    | ( c2_1 @ a452 )
    | ~ ( c0_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl1034]) ).

thf(zip_derived_cl24,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl659_053,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1113,plain,
    ( ( ~ ( c2_1 @ a451 )
      | ~ ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl659]) ).

thf('112',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a451 )
    | ~ ( c2_1 @ a451 )
    | ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf(zip_derived_cl275_054,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl659_055,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl894,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ~ ( c2_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl659]) ).

thf('113',plain,
    ( ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c2_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ( c3_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl894]) ).

thf(zip_derived_cl735_056,plain,
    ( ( c1_1 @ a435 )
   <= ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl359_057,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1809,plain,
    ( ( ( c0_1 @ a435 )
      | ~ ( c2_1 @ a435 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c1_1 @ a435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl359]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a435 )
    | ( c0_1 @ a435 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1809]) ).

thf(zip_derived_cl263_058,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl611_059,plain,
    ( ~ ( c2_1 @ a467 )
   <= ~ ( c2_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl815,plain,
    ( ( ~ ( c3_1 @ a467 )
      | ~ ( c0_1 @ a467 ) )
   <= ( ~ ( c2_1 @ a467 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl611]) ).

thf('115',plain,
    ( ~ ( c3_1 @ a467 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a467 )
    | ~ ( c0_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl815]) ).

thf('116',plain,
    ( hskp28
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('117',plain,
    ( ( c1_1 @ a492 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('118',plain,
    ( ( c2_1 @ a492 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a492 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a492 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('120',plain,
    ( hskp26
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl551_060,plain,
    ( ( c1_1 @ a492 )
   <= ( c1_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl246_061,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1424,plain,
    ( ( ( c3_1 @ a492 )
      | ~ ( c2_1 @ a492 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a492 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl246]) ).

thf('121',plain,
    ( ~ ( c1_1 @ a492 )
    | ( c3_1 @ a492 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a492 ) ),
    inference(split,[status(esa)],[zip_derived_cl1424]) ).

thf(zip_derived_cl29,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf('123',plain,
    ( ( c1_1 @ a435 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c0_1 @ a435 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ ( c3_1 @ a435 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl735_062,plain,
    ( ( c1_1 @ a435 )
   <= ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl400_063,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1921,plain,
    ( ( ( c0_1 @ a435 )
      | ( c3_1 @ a435 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl400]) ).

thf('126',plain,
    ( ( c0_1 @ a435 )
    | ( c3_1 @ a435 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1921]) ).

thf('127',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl631_064,plain,
    ( ( c1_1 @ a457 )
   <= ( c1_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl254_065,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1523,plain,
    ( ( ( c2_1 @ a457 )
      | ~ ( c3_1 @ a457 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a457 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl254]) ).

thf('128',plain,
    ( ~ ( c1_1 @ a457 )
    | ~ ( c3_1 @ a457 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c2_1 @ a457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1523]) ).

thf('129',plain,
    ( ( c1_1 @ a457 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ( c3_1 @ a457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c3_1 @ a457 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('131',plain,
    ( ~ ( c2_1 @ a457 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl18,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp29
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( hskp29
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ~ ndr1_0
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl649_066,plain,
    ( ( c1_1 @ a452 )
   <= ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl274,plain,
    ( ! [X17: $i] :
        ( ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1540,plain,
    ( ( ( c3_1 @ a452 )
      | ~ ( c0_1 @ a452 ) )
   <= ( ! [X17: $i] :
          ( ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
      & ( c1_1 @ a452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl274]) ).

thf('133',plain,
    ( ~ ! [X17: $i] :
          ( ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ( c3_1 @ a452 )
    | ~ ( c1_1 @ a452 )
    | ~ ( c0_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf(zip_derived_cl649_067,plain,
    ( ( c1_1 @ a452 )
   <= ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl270,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1539,plain,
    ( ( ( c2_1 @ a452 )
      | ~ ( c0_1 @ a452 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
      & ( c1_1 @ a452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl270]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a452 )
    | ( c2_1 @ a452 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ~ ( c1_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a452 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl263_068,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl651_069,plain,
    ( ~ ( c2_1 @ a452 )
   <= ~ ( c2_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl812,plain,
    ( ( ~ ( c3_1 @ a452 )
      | ~ ( c0_1 @ a452 ) )
   <= ( ~ ( c2_1 @ a452 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl651]) ).

thf('136',plain,
    ( ~ ( c3_1 @ a452 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a452 )
    | ~ ( c0_1 @ a452 ) ),
    inference(split,[status(esa)],[zip_derived_cl812]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c0_1 @ a452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c0_1 @ a452 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('138',plain,
    ( ( c1_1 @ a452 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c3_1 @ a443 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ( c3_1 @ a443 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('140',plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('141',plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('142',plain,
    ( hskp7
    | hskp23
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ~ ( c2_1 @ a484 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a484 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ~ ( c3_1 @ a484 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl575_070,plain,
    ( ( c1_1 @ a484 )
   <= ( c1_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl298_071,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1463,plain,
    ( ( ( c2_1 @ a484 )
      | ( c3_1 @ a484 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c1_1 @ a484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl298]) ).

thf('145',plain,
    ( ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a484 )
    | ( c3_1 @ a484 )
    | ~ ( c1_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1463]) ).

thf('146',plain,
    ( hskp24
    | ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl477_072,plain,
    ( ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) )
   <= ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl673_073,plain,
    ( ~ ( c1_1 @ a449 )
   <= ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl2203,plain,
    ( ( ~ ( c2_1 @ a449 )
      | ( c0_1 @ a449 ) )
   <= ( ~ ( c1_1 @ a449 )
      & ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl673]) ).

thf('147',plain,
    ( ( c0_1 @ a449 )
    | ~ ! [X114: $i] :
          ( ( c0_1 @ X114 )
          | ( c1_1 @ X114 )
          | ~ ( c2_1 @ X114 ) )
    | ( c1_1 @ a449 )
    | ~ ( c2_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl2203]) ).

thf(zip_derived_cl74,plain,
    ! [X121: $i,X122: $i,X123: $i] :
      ( ( c0_1 @ X121 )
      | ( c1_1 @ X121 )
      | ~ ( c2_1 @ X121 )
      | ~ ndr1_0
      | ( c0_1 @ X122 )
      | ~ ( c1_1 @ X122 )
      | ~ ( c3_1 @ X122 )
      | ~ ndr1_0
      | ( c3_1 @ X123 )
      | ~ ( c1_1 @ X123 )
      | ~ ( c2_1 @ X123 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X114: $i] :
        ( ( c0_1 @ X114 )
        | ( c1_1 @ X114 )
        | ~ ( c2_1 @ X114 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl521_074,plain,
    ( ( c1_1 @ a456 )
   <= ( c1_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl246_075,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1323,plain,
    ( ( ( c3_1 @ a456 )
      | ~ ( c2_1 @ a456 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl246]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a456 )
    | ( c3_1 @ a456 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf(zip_derived_cl523_076,plain,
    ( ( c2_1 @ a456 )
   <= ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl226_077,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1339,plain,
    ( ( ~ ( c0_1 @ a456 )
      | ~ ( c3_1 @ a456 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl226]) ).

thf('150',plain,
    ( ~ ( c3_1 @ a456 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a456 )
    | ~ ( c2_1 @ a456 ) ),
    inference(split,[status(esa)],[zip_derived_cl1339]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c0_1 @ a456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ( c0_1 @ a456 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('152',plain,
    ( ( c1_1 @ a456 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('153',plain,
    ( ( c2_1 @ a456 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl5,plain,
    ( hskp30
    | hskp14
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( hskp14
    | hskp24
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl567_078,plain,
    ( ( c1_1 @ a486 )
   <= ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl400_079,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1928,plain,
    ( ( ( c0_1 @ a486 )
      | ( c3_1 @ a486 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl400]) ).

thf('155',plain,
    ( ( c3_1 @ a486 )
    | ( c0_1 @ a486 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1928]) ).

thf(zip_derived_cl567_080,plain,
    ( ( c1_1 @ a486 )
   <= ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl359_081,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1816,plain,
    ( ( ( c0_1 @ a486 )
      | ~ ( c2_1 @ a486 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c1_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl359]) ).

thf('156',plain,
    ( ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c2_1 @ a486 )
    | ( c0_1 @ a486 )
    | ~ ( c1_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1816]) ).

thf(zip_derived_cl569_082,plain,
    ( ( c2_1 @ a486 )
   <= ( c2_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl338,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1686,plain,
    ( ( ( c0_1 @ a486 )
      | ~ ( c3_1 @ a486 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a486 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl338]) ).

thf('157',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a486 )
    | ~ ( c2_1 @ a486 )
    | ( c0_1 @ a486 ) ),
    inference(split,[status(esa)],[zip_derived_cl1686]) ).

thf('158',plain,
    ( ( c1_1 @ a486 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('159',plain,
    ( ( c2_1 @ a486 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a486 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ ( c0_1 @ a486 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl52,plain,
    ! [X81: $i,X82: $i,X83: $i] :
      ( ( c0_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | ( c0_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | ( c1_1 @ X83 )
      | ( c3_1 @ X83 )
      | ~ ( c2_1 @ X83 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a449 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl302_083,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl673_084,plain,
    ( ~ ( c1_1 @ a449 )
   <= ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1186,plain,
    ( ( ~ ( c2_1 @ a449 )
      | ( c3_1 @ a449 ) )
   <= ( ~ ( c1_1 @ a449 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl673]) ).

thf('163',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
    | ( c1_1 @ a449 )
    | ( c3_1 @ a449 )
    | ~ ( c2_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c2_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c2_1 @ a449 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('165',plain,
    ( ~ ( c1_1 @ a449 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl63,plain,
    ! [X103: $i,X104: $i] :
      ( ( c0_1 @ X103 )
      | ( c2_1 @ X103 )
      | ~ ( c1_1 @ X103 )
      | ~ ndr1_0
      | ( c1_1 @ X104 )
      | ( c2_1 @ X104 )
      | ~ ( c0_1 @ X104 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp11
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) )
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl33,plain,
    ! [X43: $i,X44: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | hskp28
    | ~ ndr1_0
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl663_085,plain,
    ( ( c1_1 @ a450 )
   <= ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl434_086,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ~ ( c1_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1992,plain,
    ( ( ( c0_1 @ a450 )
      | ( c2_1 @ a450 ) )
   <= ( ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
      & ( c1_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl434]) ).

thf('168',plain,
    ( ~ ( c1_1 @ a450 )
    | ( c2_1 @ a450 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ~ ( c1_1 @ X97 ) )
    | ( c0_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1992]) ).

thf(zip_derived_cl663_087,plain,
    ( ( c1_1 @ a450 )
   <= ( c1_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl39,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1765,plain,
    ( ( ( c0_1 @ a450 )
      | ~ ( c3_1 @ a450 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c1_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl355]) ).

thf('169',plain,
    ( ~ ( c1_1 @ a450 )
    | ~ ( c3_1 @ a450 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1765]) ).

thf(zip_derived_cl5619,plain,
    ( ( c2_1 @ a450 )
   <= ( c2_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf(zip_derived_cl338_088,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl5645,plain,
    ( ( ( c0_1 @ a450 )
      | ~ ( c3_1 @ a450 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a450 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5619,zip_derived_cl338]) ).

thf('170',plain,
    ( ~ ( c3_1 @ a450 )
    | ~ ( c2_1 @ a450 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a450 ) ),
    inference(split,[status(esa)],[zip_derived_cl5645]) ).

thf(zip_derived_cl328_089,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl609_090,plain,
    ( ~ ( c1_1 @ a467 )
   <= ~ ( c1_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1568,plain,
    ( ( ~ ( c0_1 @ a467 )
      | ( c2_1 @ a467 ) )
   <= ( ~ ( c1_1 @ a467 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl609]) ).

thf('171',plain,
    ( ( c1_1 @ a467 )
    | ( c2_1 @ a467 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 ) )
    | ~ ( c0_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1568]) ).

thf('172',plain,
    ( ( c1_1 @ a450 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ( c3_1 @ a450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ( c3_1 @ a450 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a450 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a450 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c0_1 @ a467 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c0_1 @ a467 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a467 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('177',plain,
    ( ~ ( c2_1 @ a467 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf('178',plain,
    ( hskp12
    | hskp14
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

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

thf('181',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl0,plain,
    ( hskp10
    | hskp8
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( hskp1
    | hskp8
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( hskp14
    | hskp19
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp14
    | hskp19
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl320_091,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl705_092,plain,
    ( ~ ( c1_1 @ a443 )
   <= ~ ( c1_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1376,plain,
    ( ( ~ ( c3_1 @ a443 )
      | ( c2_1 @ a443 ) )
   <= ( ~ ( c1_1 @ a443 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl705]) ).

thf('184',plain,
    ( ( c1_1 @ a443 )
    | ( c2_1 @ a443 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c3_1 @ a443 ) ),
    inference(split,[status(esa)],[zip_derived_cl1376]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ( c2_1 @ a442 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ( c2_1 @ a442 )
   <= ( c2_1 @ a442 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl250_093,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1637,plain,
    ( ( ( c3_1 @ a442 )
      | ~ ( c0_1 @ a442 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c2_1 @ a442 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl250]) ).

thf('185',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c0_1 @ a442 )
    | ~ ( c2_1 @ a442 )
    | ( c3_1 @ a442 ) ),
    inference(split,[status(esa)],[zip_derived_cl1637]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ( c0_1 @ a442 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c0_1 @ a442 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('187',plain,
    ( ( c2_1 @ a442 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a442 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a442 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl2,plain,
    ( hskp6
    | hskp20
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( hskp6
    | hskp20
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl655_094,plain,
    ( ( c2_1 @ a451 )
   <= ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl338_095,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1683,plain,
    ( ( ( c0_1 @ a451 )
      | ~ ( c3_1 @ a451 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a451 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl338]) ).

thf(zip_derived_cl3374,plain,
    ( ( c0_1 @ a451 )
   <= ( c0_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1683]) ).

thf(zip_derived_cl263_096,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl226_097,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl809,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl226]) ).

thf(zip_derived_cl827,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl809]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c3_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ( c3_1 @ a451 )
   <= ( c3_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1877,plain,
    ( ~ ( c0_1 @ a451 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a451 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl657]) ).

thf('190',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c0_1 @ a451 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a451 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3374,zip_derived_cl1877]) ).

thf('191',plain,
    ( ( c0_1 @ a451 )
    | ~ ( c3_1 @ a451 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1683]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c2_1 @ a447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c2_1 @ a447 )
   <= ( c2_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl338_098,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1690,plain,
    ( ( ( c0_1 @ a447 )
      | ~ ( c3_1 @ a447 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a447 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl338]) ).

thf('192',plain,
    ( ( c0_1 @ a447 )
    | ~ ( c2_1 @ a447 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl1690]) ).

thf('193',plain,
    ( ( c2_1 @ a447 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c3_1 @ a447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ( c3_1 @ a447 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl529_099,plain,
    ( ( c2_1 @ a447 )
   <= ( c2_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl226_100,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1402,plain,
    ( ( ~ ( c0_1 @ a447 )
      | ~ ( c3_1 @ a447 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a447 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl226]) ).

thf('195',plain,
    ( ~ ( c0_1 @ a447 )
    | ~ ( c2_1 @ a447 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a447 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf('196',plain,
    ( ( c0_1 @ a437 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c2_1 @ a437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ( c2_1 @ a437 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('198',plain,
    ( ( c3_1 @ a437 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl537,plain,
    ( ( c2_1 @ a437 )
   <= ( c2_1 @ a437 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl226_101,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1404,plain,
    ( ( ~ ( c0_1 @ a437 )
      | ~ ( c3_1 @ a437 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a437 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl226]) ).

thf('199',plain,
    ( ~ ( c2_1 @ a437 )
    | ~ ( c3_1 @ a437 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a437 ) ),
    inference(split,[status(esa)],[zip_derived_cl1404]) ).

thf(zip_derived_cl311_102,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl609_103,plain,
    ( ~ ( c1_1 @ a467 )
   <= ~ ( c1_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1259,plain,
    ( ( ~ ( c0_1 @ a467 )
      | ( c3_1 @ a467 ) )
   <= ( ~ ( c1_1 @ a467 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl609]) ).

thf('200',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a467 )
    | ( c1_1 @ a467 )
    | ~ ( c0_1 @ a467 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf('201',plain,
    ( ( c0_1 @ a472 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('202',plain,
    ( ( c3_1 @ a472 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a472 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ~ ( c2_1 @ a472 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl263_104,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl603,plain,
    ( ~ ( c2_1 @ a472 )
   <= ~ ( c2_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl816,plain,
    ( ( ~ ( c3_1 @ a472 )
      | ~ ( c0_1 @ a472 ) )
   <= ( ~ ( c2_1 @ a472 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl603]) ).

thf('204',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a472 )
    | ( c2_1 @ a472 )
    | ~ ( c0_1 @ a472 ) ),
    inference(split,[status(esa)],[zip_derived_cl816]) ).

thf(zip_derived_cl970,plain,
    ( ~ ( c2_1 @ a439 )
   <= ~ ( c2_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl890]) ).

thf(zip_derived_cl263_105,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl972,plain,
    ( ( ~ ( c0_1 @ a439 )
      | ~ ( c3_1 @ a439 ) )
   <= ( ~ ( c2_1 @ a439 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl970,zip_derived_cl263]) ).

thf('205',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a439 )
    | ~ ( c3_1 @ a439 )
    | ~ ( c0_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl972]) ).

thf(zip_derived_cl68,plain,
    ! [X110: $i,X111: $i] :
      ( ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | ( c2_1 @ X111 )
      | ~ ( c0_1 @ X111 )
      | ~ ( c3_1 @ X111 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl278_106,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl659_107,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl940,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ~ ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl659]) ).

thf('207',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ( c3_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl940]) ).

thf(zip_derived_cl462_108,plain,
    ( ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) )
   <= ! [X108: $i] :
        ( ( c0_1 @ X108 )
        | ( c1_1 @ X108 )
        | ~ ( c3_1 @ X108 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl659_109,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2161,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl659]) ).

thf('208',plain,
    ( ( c0_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ! [X108: $i] :
          ( ( c0_1 @ X108 )
          | ( c1_1 @ X108 )
          | ~ ( c3_1 @ X108 ) )
    | ~ ( c3_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl2161]) ).

thf('209',plain,
    ( ( c2_1 @ a451 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('210',plain,
    ( ( c3_1 @ a451 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('211',plain,
    ( ~ ( c1_1 @ a451 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl44,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl48,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | ( c0_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | hskp13
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl671,plain,
    ( ( c2_1 @ a449 )
   <= ( c2_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl366_110,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_cl42]) ).

thf(zip_derived_cl1861,plain,
    ( ( ( c0_1 @ a449 )
      | ( c3_1 @ a449 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ( c2_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl366]) ).

thf('214',plain,
    ( ( c0_1 @ a449 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a449 )
    | ( c3_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1861]) ).

thf(zip_derived_cl295_111,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl673_112,plain,
    ( ~ ( c1_1 @ a449 )
   <= ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1112,plain,
    ( ( ~ ( c2_1 @ a449 )
      | ~ ( c0_1 @ a449 ) )
   <= ( ~ ( c1_1 @ a449 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl673]) ).

thf('215',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a449 )
    | ( c1_1 @ a449 )
    | ~ ( c2_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1112]) ).

thf('216',plain,
    ( hskp23
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('217',plain,
    ( ( c1_1 @ a484 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl575_113,plain,
    ( ( c1_1 @ a484 )
   <= ( c1_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl400_114,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1927,plain,
    ( ( ( c0_1 @ a484 )
      | ( c3_1 @ a484 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl400]) ).

thf('218',plain,
    ( ( c0_1 @ a484 )
    | ~ ( c1_1 @ a484 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c3_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1927]) ).

thf(zip_derived_cl575_115,plain,
    ( ( c1_1 @ a484 )
   <= ( c1_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl270_116,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1461,plain,
    ( ( ( c2_1 @ a484 )
      | ~ ( c0_1 @ a484 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
      & ( c1_1 @ a484 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl270]) ).

thf('219',plain,
    ( ~ ( c0_1 @ a484 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ~ ( c1_1 @ a484 )
    | ( c2_1 @ a484 ) ),
    inference(split,[status(esa)],[zip_derived_cl1461]) ).

thf(zip_derived_cl8089,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.97udntk262 true
% 0.11/0.34  % Computer : n029.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Sat Aug 26 19:18:10 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.15/0.56  % Total configuration time : 435
% 0.15/0.56  % Estimated wc time : 1092
% 0.15/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.83/1.98  % Solved by fo/fo1_av.sh.
% 9.83/1.98  % done 1954 iterations in 1.184s
% 9.83/1.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.83/1.98  % SZS output start Refutation
% See solution above
% 9.83/1.99  
% 9.83/1.99  
% 9.83/1.99  % Terminating...
% 9.83/2.00  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.28/2.10  % Runner terminated.
% 10.28/2.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------