TSTP Solution File: SYN467+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN467+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.rLXXV265UK true

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:48 EDT 2023

% Result   : Theorem 18.29s 3.22s
% Output   : Refutation 18.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  779 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4730 (   0 equ;   0 cnn)
%            Maximal formula atoms :  680 (   6 avg)
%            Number of connectives : 10107 (2354   ~;2977   |; 500   &;3735   @)
%                                         (   0 <=>; 216  =>; 325  <=;   0 <~>)
%            Maximal formula depth :  102 (   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   :  856 (   0   ^; 856   !;   0   ?; 856   :)

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

thf(a203_type,type,
    a203: $i ).

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

thf(a230_type,type,
    a230: $i ).

thf(a216_type,type,
    a216: $i ).

thf(a248_type,type,
    a248: $i ).

thf(a202_type,type,
    a202: $i ).

thf(a231_type,type,
    a231: $i ).

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

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

thf(a199_type,type,
    a199: $i ).

thf(a208_type,type,
    a208: $i ).

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

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

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

thf(a200_type,type,
    a200: $i ).

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

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

thf(a204_type,type,
    a204: $i ).

thf(a238_type,type,
    a238: $i ).

thf(a244_type,type,
    a244: $i ).

thf(a227_type,type,
    a227: $i ).

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

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

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

thf(a214_type,type,
    a214: $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(a213_type,type,
    a213: $i ).

thf(a217_type,type,
    a217: $i ).

thf(a233_type,type,
    a233: $i ).

thf(a241_type,type,
    a241: $i ).

thf(a281_type,type,
    a281: $i ).

thf(a232_type,type,
    a232: $i ).

thf(a228_type,type,
    a228: $i ).

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

thf(a239_type,type,
    a239: $i ).

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

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

thf(a209_type,type,
    a209: $i ).

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

thf(a256_type,type,
    a256: $i ).

thf(a212_type,type,
    a212: $i ).

thf(a218_type,type,
    a218: $i ).

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

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

thf(a219_type,type,
    a219: $i ).

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

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

thf(a205_type,type,
    a205: $i ).

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

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

thf(a249_type,type,
    a249: $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(a201_type,type,
    a201: $i ).

thf(a198_type,type,
    a198: $i ).

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

thf(c1_1_type,type,
    c1_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 @ a199 )
          & ~ ( c0_1 @ a199 )
          & ~ ( c1_1 @ a199 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a200 )
          & ~ ( c1_1 @ a200 )
          & ~ ( c2_1 @ a200 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a201 )
          & ~ ( c0_1 @ a201 )
          & ~ ( c1_1 @ a201 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a203 )
          & ~ ( c0_1 @ a203 )
          & ~ ( c3_1 @ a203 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a204 )
          & ~ ( c0_1 @ a204 )
          & ~ ( c2_1 @ a204 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a205 )
          & ( c3_1 @ a205 )
          & ~ ( c1_1 @ a205 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a208 )
          & ( c1_1 @ a208 )
          & ~ ( c2_1 @ a208 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a209 )
          & ( c1_1 @ a209 )
          & ~ ( c3_1 @ a209 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a212 )
          & ( c3_1 @ a212 )
          & ~ ( c1_1 @ a212 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a213 )
          & ~ ( c1_1 @ a213 )
          & ~ ( c2_1 @ a213 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a214 )
          & ~ ( c2_1 @ a214 )
          & ~ ( c3_1 @ a214 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c0_1 @ a216 )
          & ~ ( c1_1 @ a216 )
          & ~ ( c3_1 @ a216 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a217 )
          & ~ ( c2_1 @ a217 )
          & ~ ( c3_1 @ a217 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a218 )
          & ( c3_1 @ a218 )
          & ~ ( c0_1 @ a218 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a219 )
          & ( c3_1 @ a219 )
          & ~ ( c0_1 @ a219 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a228 )
          & ( c2_1 @ a228 )
          & ~ ( c1_1 @ a228 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a231 )
          & ~ ( c1_1 @ a231 )
          & ~ ( c3_1 @ a231 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a232 )
          & ~ ( c1_1 @ a232 )
          & ~ ( c2_1 @ a232 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c1_1 @ a233 )
          & ~ ( c2_1 @ a233 )
          & ~ ( c3_1 @ a233 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a238 )
          & ( c3_1 @ a238 )
          & ~ ( c2_1 @ a238 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a239 )
          & ~ ( c0_1 @ a239 )
          & ~ ( c3_1 @ a239 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a241 )
          & ~ ( c1_1 @ a241 )
          & ~ ( c3_1 @ a241 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c3_1 @ a244 )
          & ~ ( c0_1 @ a244 )
          & ~ ( c2_1 @ a244 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a248 )
          & ~ ( c2_1 @ a248 )
          & ~ ( c3_1 @ a248 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a249 )
          & ( c3_1 @ a249 )
          & ~ ( c2_1 @ a249 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a256 )
          & ( c2_1 @ a256 )
          & ~ ( c0_1 @ a256 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a281 )
          & ( c2_1 @ a281 )
          & ~ ( c3_1 @ a281 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a198 )
          & ( c1_1 @ a198 )
          & ( c2_1 @ a198 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a202 )
          & ( c2_1 @ a202 )
          & ( c3_1 @ a202 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a227 )
          & ( c1_1 @ a227 )
          & ( c3_1 @ a227 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a230 )
          & ( c2_1 @ a230 )
          & ( c3_1 @ a230 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c3_1 @ W )
              | ~ ( c0_1 @ W )
              | ~ ( c1_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c2_1 @ Y )
              | ~ ( c1_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c3_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp27
        | hskp0 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c2_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | hskp28 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ( c2_1 @ X6 )
              | ~ ( c0_1 @ X6 ) ) )
        | hskp3 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | hskp4
        | hskp5 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c3_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ~ ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 ) ) )
        | hskp3 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp0 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ~ ( c1_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ~ ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | hskp4 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ~ ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X26 )
              | ~ ( c0_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) ) )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp0 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ( c3_1 @ X31 )
              | ~ ( c0_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) ) )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c2_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | hskp10 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) ) )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | hskp10 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X47 )
              | ~ ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp11 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp12 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) ) )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ~ ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp13 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp14 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp6
        | hskp1 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | hskp8
        | hskp14 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | hskp5 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) ) )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp6
        | hskp14 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp29
        | hskp15 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ( c3_1 @ X66 ) ) )
        | hskp27 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ( c3_1 @ X67 ) ) )
        | hskp30
        | hskp16 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ( c3_1 @ X68 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | hskp27
        | hskp12 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | hskp15
        | hskp1 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c0_1 @ X71 ) ) )
        | hskp19
        | hskp20 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | hskp17 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp21 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ~ ( c1_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) ) )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp17 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp3
        | hskp22 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp1
        | hskp14 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp30
        | hskp23 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp24
        | hskp22 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | hskp0
        | hskp18 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X91 )
              | ~ ( c1_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) ) )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp3 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp29
        | hskp18 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | hskp25
        | hskp19 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp6
        | hskp15 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp21 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | hskp27
        | hskp19 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp7
        | hskp24 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp8
        | hskp11 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp10
        | hskp9 )
      & ( hskp27
        | hskp24
        | hskp4 )
      & ( hskp6
        | hskp10
        | hskp20 )
      & ( hskp6
        | hskp9 )
      & ( hskp15
        | hskp8
        | hskp26 )
      & ( hskp8
        | hskp13
        | hskp18 )
      & ( hskp8
        | hskp14
        | hskp22 )
      & ( hskp24
        | hskp4
        | hskp18 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c3_1 @ a199 )
        & ~ ( c0_1 @ a199 )
        & ~ ( c1_1 @ a199 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a200 )
        & ~ ( c1_1 @ a200 )
        & ~ ( c2_1 @ a200 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a201 )
        & ~ ( c0_1 @ a201 )
        & ~ ( c1_1 @ a201 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a203 )
        & ~ ( c0_1 @ a203 )
        & ~ ( c3_1 @ a203 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a204 )
        & ~ ( c0_1 @ a204 )
        & ~ ( c2_1 @ a204 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a205 )
        & ( c3_1 @ a205 )
        & ~ ( c1_1 @ a205 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a208 )
        & ( c1_1 @ a208 )
        & ~ ( c2_1 @ a208 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a209 )
        & ( c1_1 @ a209 )
        & ~ ( c3_1 @ a209 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a212 )
        & ( c3_1 @ a212 )
        & ~ ( c1_1 @ a212 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a213 )
        & ~ ( c1_1 @ a213 )
        & ~ ( c2_1 @ a213 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a214 )
        & ~ ( c2_1 @ a214 )
        & ~ ( c3_1 @ a214 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c0_1 @ a216 )
        & ~ ( c1_1 @ a216 )
        & ~ ( c3_1 @ a216 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a217 )
        & ~ ( c2_1 @ a217 )
        & ~ ( c3_1 @ a217 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a218 )
        & ( c3_1 @ a218 )
        & ~ ( c0_1 @ a218 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a219 )
        & ( c3_1 @ a219 )
        & ~ ( c0_1 @ a219 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a228 )
        & ( c2_1 @ a228 )
        & ~ ( c1_1 @ a228 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a231 )
        & ~ ( c1_1 @ a231 )
        & ~ ( c3_1 @ a231 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a232 )
        & ~ ( c1_1 @ a232 )
        & ~ ( c2_1 @ a232 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c1_1 @ a233 )
        & ~ ( c2_1 @ a233 )
        & ~ ( c3_1 @ a233 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a238 )
        & ( c3_1 @ a238 )
        & ~ ( c2_1 @ a238 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a239 )
        & ~ ( c0_1 @ a239 )
        & ~ ( c3_1 @ a239 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a241 )
        & ~ ( c1_1 @ a241 )
        & ~ ( c3_1 @ a241 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c3_1 @ a244 )
        & ~ ( c0_1 @ a244 )
        & ~ ( c2_1 @ a244 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a248 )
        & ~ ( c2_1 @ a248 )
        & ~ ( c3_1 @ a248 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a249 )
        & ( c3_1 @ a249 )
        & ~ ( c2_1 @ a249 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a256 )
        & ( c2_1 @ a256 )
        & ~ ( c0_1 @ a256 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a281 )
        & ( c2_1 @ a281 )
        & ~ ( c3_1 @ a281 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a198 )
        & ( c1_1 @ a198 )
        & ( c2_1 @ a198 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a202 )
        & ( c2_1 @ a202 )
        & ( c3_1 @ a202 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a227 )
        & ( c1_1 @ a227 )
        & ( c3_1 @ a227 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a230 )
        & ( c2_1 @ a230 )
        & ( c3_1 @ a230 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c3_1 @ W )
            | ~ ( c0_1 @ W )
            | ~ ( c1_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c2_1 @ Y )
            | ~ ( c1_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c3_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp27
      | hskp0 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c2_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | hskp28 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ( c2_1 @ X6 )
            | ~ ( c0_1 @ X6 ) ) )
      | hskp3 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | hskp4
      | hskp5 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c3_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ~ ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 ) ) )
      | hskp3 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp0 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ~ ( c1_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ~ ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | hskp4 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ~ ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X26 )
            | ~ ( c0_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) ) )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp0 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ( c3_1 @ X31 )
            | ~ ( c0_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) ) )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c2_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | hskp10 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) ) )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | hskp10 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X47 )
            | ~ ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp11 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp12 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) ) )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ~ ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp13 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp14 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp6
      | hskp1 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | hskp8
      | hskp14 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | hskp5 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) ) )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp6
      | hskp14 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp29
      | hskp15 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ( c3_1 @ X66 ) ) )
      | hskp27 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ( c3_1 @ X67 ) ) )
      | hskp30
      | hskp16 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ( c3_1 @ X68 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | hskp27
      | hskp12 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | hskp15
      | hskp1 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c0_1 @ X71 ) ) )
      | hskp19
      | hskp20 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | hskp17 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp21 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ~ ( c1_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) ) )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp17 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp3
      | hskp22 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp1
      | hskp14 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp30
      | hskp23 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp24
      | hskp22 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | hskp0
      | hskp18 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X91 )
            | ~ ( c1_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) ) )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp3 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp29
      | hskp18 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | hskp25
      | hskp19 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp6
      | hskp15 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp21 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | hskp27
      | hskp19 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp7
      | hskp24 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp8
      | hskp11 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp10
      | hskp9 )
    & ( hskp27
      | hskp24
      | hskp4 )
    & ( hskp6
      | hskp10
      | hskp20 )
    & ( hskp6
      | hskp9 )
    & ( hskp15
      | hskp8
      | hskp26 )
    & ( hskp8
      | hskp13
      | hskp18 )
    & ( hskp8
      | hskp14
      | hskp22 )
    & ( hskp24
      | hskp4
      | hskp18 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl38,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | hskp8
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl538,plain,
    ( ~ ( c0_1 @ a239 )
   <= ~ ( c0_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1623,plain,
    ( ( ~ ( c2_1 @ a239 )
      | ~ ( c1_1 @ a239 ) )
   <= ( ~ ( c0_1 @ a239 )
      & ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl538]) ).

thf('0',plain,
    ( ~ ( c1_1 @ a239 )
    | ~ ( c2_1 @ a239 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ( c0_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl1623]) ).

thf(zip_derived_cl42,plain,
    ! [X50: $i,X51: $i,X52: $i] :
      ( ( c0_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | ( c2_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a203 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ~ ( c3_1 @ a203 )
   <= ~ ( c3_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1711,plain,
    ( ( ~ ( c2_1 @ a203 )
      | ( c0_1 @ a203 ) )
   <= ( ~ ( c3_1 @ a203 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl676]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a203 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) )
    | ( c3_1 @ a203 )
    | ( c0_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl1711]) ).

thf(zip_derived_cl64,plain,
    ! [X100: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ( c2_1 @ X100 )
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl608,plain,
    ( ~ ( c0_1 @ a216 )
   <= ~ ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2156,plain,
    ( ( ( c2_1 @ a216 )
      | ( c1_1 @ a216 ) )
   <= ( ~ ( c0_1 @ a216 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl608]) ).

thf('2',plain,
    ( ( c2_1 @ a216 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) )
    | ( c0_1 @ a216 )
    | ( c1_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl2156]) ).

thf(zip_derived_cl44,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ( c3_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp11
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl50,plain,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | ( c2_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl384,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a203 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ~ ( c0_1 @ a203 )
   <= ~ ( c0_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1941,plain,
    ( ( ~ ( c1_1 @ a203 )
      | ( c2_1 @ a203 ) )
   <= ( ~ ( c0_1 @ a203 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl674]) ).

thf('4',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c2_1 @ a203 )
    | ( c0_1 @ a203 )
    | ~ ( c1_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl1941]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl644,plain,
    ( ~ ( c3_1 @ a209 )
   <= ~ ( c3_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl10,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl814,plain,
    ( ( ~ ( c1_1 @ a209 )
      | ~ ( c2_1 @ a209 ) )
   <= ( ~ ( c3_1 @ a209 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl644,zip_derived_cl224]) ).

thf('5',plain,
    ( ~ ( c2_1 @ a209 )
    | ~ ( c1_1 @ a209 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ( c3_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl814]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp7
    | ( c0_1 @ a209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl640,plain,
    ( ( c0_1 @ a209 )
   <= ( c0_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl16,plain,
    ! [X9: $i,X10: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1530,plain,
    ( ( ( c2_1 @ a209 )
      | ~ ( c1_1 @ a209 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a209 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl248]) ).

thf('6',plain,
    ( ( c2_1 @ a209 )
    | ~ ( c1_1 @ a209 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c0_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl1530]) ).

thf(zip_derived_cl46,plain,
    ! [X59: $i,X60: $i,X61: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl334_001,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl596,plain,
    ( ~ ( c0_1 @ a218 )
   <= ~ ( c0_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1619,plain,
    ( ( ~ ( c2_1 @ a218 )
      | ~ ( c1_1 @ a218 ) )
   <= ( ~ ( c0_1 @ a218 )
      & ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl596]) ).

thf('8',plain,
    ( ~ ( c2_1 @ a218 )
    | ~ ( c1_1 @ a218 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ( c0_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1619]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp21
    | ( c0_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( c0_1 @ a241 )
   <= ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | hskp1
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl267,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1363,plain,
    ( ( ( c1_1 @ a241 )
      | ~ ( c2_1 @ a241 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl267]) ).

thf('9',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a241 )
    | ~ ( c0_1 @ a241 )
    | ( c1_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1363]) ).

thf(zip_derived_cl528_002,plain,
    ( ( c0_1 @ a241 )
   <= ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl28,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1364,plain,
    ( ( ( c1_1 @ a241 )
      | ( c2_1 @ a241 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ( c0_1 @ a241 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl295]) ).

thf('10',plain,
    ( ( c2_1 @ a241 )
    | ( c1_1 @ a241 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1364]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp21
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp8
    | ( c0_1 @ a212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl632,plain,
    ( ( c0_1 @ a212 )
   <= ( c0_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl267_003,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1503,plain,
    ( ( ( c1_1 @ a212 )
      | ~ ( c2_1 @ a212 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl267]) ).

thf('12',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a212 )
    | ~ ( c0_1 @ a212 )
    | ( c1_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1503]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp22
    | ( c3_1 @ a244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl520,plain,
    ( ( c3_1 @ a244 )
   <= ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

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

thf(zip_derived_cl232,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1353,plain,
    ( ( ( c2_1 @ a244 )
      | ~ ( c1_1 @ a244 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a244 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl232]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a244 )
    | ( c2_1 @ a244 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl1353]) ).

thf(zip_derived_cl57,plain,
    ! [X87: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl410,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a199 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl698,plain,
    ( ~ ( c0_1 @ a199 )
   <= ~ ( c0_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl2045,plain,
    ( ( ~ ( c2_1 @ a199 )
      | ( c1_1 @ a199 ) )
   <= ( ~ ( c0_1 @ a199 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl698]) ).

thf('14',plain,
    ( ~ ( c2_1 @ a199 )
    | ( c0_1 @ a199 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) )
    | ( c1_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl2045]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp0
    | ( c3_1 @ a199 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ( c3_1 @ a199 )
   <= ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl284,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1587,plain,
    ( ( ( c1_1 @ a199 )
      | ( c2_1 @ a199 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a199 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl284]) ).

thf('15',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c2_1 @ a199 )
    | ( c1_1 @ a199 )
    | ~ ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl1587]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp8
    | ( c3_1 @ a212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ( c3_1 @ a212 )
   <= ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

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

thf(zip_derived_cl288,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c2_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c2_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1514,plain,
    ( ( ( c1_1 @ a212 )
      | ~ ( c2_1 @ a212 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c2_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c3_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl288]) ).

thf('16',plain,
    ( ~ ( c2_1 @ a212 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c2_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a212 )
    | ( c1_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1514]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp27
    | ( c0_1 @ a198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl480,plain,
    ( ( c0_1 @ a198 )
   <= ( c0_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl224_004,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp10
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl720,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl212]) ).

thf(zip_derived_cl721,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl720]) ).

thf(zip_derived_cl1314,plain,
    ( ( ~ ( c1_1 @ a198 )
      | ~ ( c2_1 @ a198 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c0_1 @ a198 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl721]) ).

thf('17',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a198 )
    | ~ ( c2_1 @ a198 )
    | ~ ( c1_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl1314]) ).

thf(zip_derived_cl520_005,plain,
    ( ( c3_1 @ a244 )
   <= ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i] :
      ( ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp6
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1445,plain,
    ( ( ( c0_1 @ a244 )
      | ~ ( c1_1 @ a244 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a244 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl322]) ).

thf('18',plain,
    ( ~ ( c1_1 @ a244 )
    | ~ ( c3_1 @ a244 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c0_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl520_006,plain,
    ( ( c3_1 @ a244 )
   <= ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl47,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c2_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl371,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1820,plain,
    ( ( ( c0_1 @ a244 )
      | ( c2_1 @ a244 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
      & ( c3_1 @ a244 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl371]) ).

thf('19',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ( c0_1 @ a244 )
    | ( c2_1 @ a244 )
    | ~ ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl1820]) ).

thf('20',plain,
    ( ( c3_1 @ a244 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ~ ( c0_1 @ a244 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a244 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c2_1 @ a244 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl19,plain,
    ! [X15: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp24
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( hskp22
    | ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | hskp24
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp30
    | ( c0_1 @ a230 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl456,plain,
    ( ( c0_1 @ a230 )
   <= ( c0_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl267_007,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1211,plain,
    ( ( ( c1_1 @ a230 )
      | ~ ( c2_1 @ a230 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a230 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl267]) ).

thf('24',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ( c1_1 @ a230 )
    | ~ ( c2_1 @ a230 )
    | ~ ( c0_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp30
    | ( c3_1 @ a230 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl460,plain,
    ( ( c3_1 @ a230 )
   <= ( c3_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl212_008,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1234,plain,
    ( ( ~ ( c0_1 @ a230 )
      | ~ ( c1_1 @ a230 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a230 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl212]) ).

thf('25',plain,
    ( ~ ( c1_1 @ a230 )
    | ~ ( c0_1 @ a230 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf(zip_derived_cl520_009,plain,
    ( ( c3_1 @ a244 )
   <= ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl284_010,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1357,plain,
    ( ( ( c1_1 @ a244 )
      | ( c2_1 @ a244 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a244 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl284]) ).

thf('26',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a244 )
    | ( c2_1 @ a244 )
    | ~ ( c3_1 @ a244 ) ),
    inference(split,[status(esa)],[zip_derived_cl1357]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ~ ( c3_1 @ a239 )
   <= ~ ( c3_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl224_011,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl770,plain,
    ( ( ~ ( c1_1 @ a239 )
      | ~ ( c2_1 @ a239 ) )
   <= ( ~ ( c3_1 @ a239 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl540,zip_derived_cl224]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a239 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a239 )
    | ( c3_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl770]) ).

thf('28',plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
    | hskp7
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('29',plain,
    ( ( c0_1 @ a241 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ ( c1_1 @ a241 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a241 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ ( c3_1 @ a241 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl24,plain,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( c1_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c3_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('33',plain,
    ( hskp21
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl281,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl532,plain,
    ( ~ ( c3_1 @ a241 )
   <= ~ ( c3_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1069,plain,
    ( ( ~ ( c0_1 @ a241 )
      | ( c1_1 @ a241 ) )
   <= ( ~ ( c3_1 @ a241 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl532]) ).

thf('34',plain,
    ( ~ ( c0_1 @ a241 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ( c3_1 @ a241 )
    | ( c1_1 @ a241 ) ),
    inference(split,[status(esa)],[zip_derived_cl1069]) ).

thf('35',plain,
    ( hskp3
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl49,plain,
    ! [X67: $i,X68: $i,X69: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | ( c0_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl55,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c0_1 @ X83 )
      | ( c3_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | hskp4
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl384_012,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ~ ( c0_1 @ a248 )
   <= ~ ( c0_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl1955,plain,
    ( ( ~ ( c1_1 @ a248 )
      | ( c2_1 @ a248 ) )
   <= ( ~ ( c0_1 @ a248 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl512]) ).

thf('38',plain,
    ( ~ ( c1_1 @ a248 )
    | ( c0_1 @ a248 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c2_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl1955]) ).

thf(zip_derived_cl334_013,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a256 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl500,plain,
    ( ~ ( c0_1 @ a256 )
   <= ~ ( c0_1 @ a256 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1627,plain,
    ( ( ~ ( c2_1 @ a256 )
      | ~ ( c1_1 @ a256 ) )
   <= ( ~ ( c0_1 @ a256 )
      & ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl500]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a256 )
    | ~ ( c2_1 @ a256 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ( c0_1 @ a256 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp25
    | ( c1_1 @ a256 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ( c1_1 @ a256 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp25
    | ( c2_1 @ a256 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ( c2_1 @ a256 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('42',plain,
    ( ~ ( c0_1 @ a256 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl14,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp25
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp25
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl676_014,plain,
    ( ~ ( c3_1 @ a203 )
   <= ~ ( c3_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl224_015,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl847,plain,
    ( ( ~ ( c1_1 @ a203 )
      | ~ ( c2_1 @ a203 ) )
   <= ( ~ ( c3_1 @ a203 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl676,zip_derived_cl224]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a203 )
    | ( c3_1 @ a203 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl847]) ).

thf(zip_derived_cl51,plain,
    ! [X73: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl386,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl676_016,plain,
    ( ~ ( c3_1 @ a203 )
   <= ~ ( c3_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl2008,plain,
    ( ( ( c2_1 @ a203 )
      | ( c0_1 @ a203 ) )
   <= ( ~ ( c3_1 @ a203 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl676]) ).

thf('45',plain,
    ( ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) )
    | ( c2_1 @ a203 )
    | ( c0_1 @ a203 )
    | ( c3_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl2008]) ).

thf(zip_derived_cl59,plain,
    ! [X90: $i,X91: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | ( c2_1 @ X91 )
      | ~ ( c0_1 @ X91 )
      | ~ ( c1_1 @ X91 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( hskp3
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl410_017,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl608_018,plain,
    ( ~ ( c0_1 @ a216 )
   <= ~ ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl2052,plain,
    ( ( ~ ( c2_1 @ a216 )
      | ( c1_1 @ a216 ) )
   <= ( ~ ( c0_1 @ a216 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl608]) ).

thf('47',plain,
    ( ~ ( c2_1 @ a216 )
    | ( c1_1 @ a216 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) )
    | ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl2052]) ).

thf(zip_derived_cl31,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl612,plain,
    ( ~ ( c3_1 @ a216 )
   <= ~ ( c3_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1279,plain,
    ( ( ( c2_1 @ a216 )
      | ( c1_1 @ a216 ) )
   <= ( ~ ( c3_1 @ a216 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl612]) ).

thf('48',plain,
    ( ( c2_1 @ a216 )
    | ( c3_1 @ a216 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) )
    | ( c1_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp27
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp12
    | hskp27
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('50',plain,
    ( hskp8
    | hskp9
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl386_019,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl612_020,plain,
    ( ~ ( c3_1 @ a216 )
   <= ~ ( c3_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2011,plain,
    ( ( ( c2_1 @ a216 )
      | ( c0_1 @ a216 ) )
   <= ( ~ ( c3_1 @ a216 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl612]) ).

thf('51',plain,
    ( ( c2_1 @ a216 )
    | ( c3_1 @ a216 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) )
    | ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl2011]) ).

thf(zip_derived_cl11,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp27
    | hskp19
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl37,plain,
    ! [X42: $i,X43: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c1_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( hskp5
    | ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl281_021,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ~ ( c3_1 @ a231 )
   <= ~ ( c3_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1066,plain,
    ( ( ~ ( c0_1 @ a231 )
      | ( c1_1 @ a231 ) )
   <= ( ~ ( c3_1 @ a231 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl572]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a231 )
    | ( c1_1 @ a231 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ( c3_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1066]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp28
    | ( c2_1 @ a202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c2_1 @ a202 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp28
    | ( c3_1 @ a202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl476,plain,
    ( ( c3_1 @ a202 )
   <= ( c3_1 @ a202 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl247,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1309,plain,
    ( ( ~ ( c0_1 @ a202 )
      | ~ ( c2_1 @ a202 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a202 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl247]) ).

thf('56',plain,
    ( ~ ( c0_1 @ a202 )
    | ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a202 )
    | ~ ( c2_1 @ a202 ) ),
    inference(split,[status(esa)],[zip_derived_cl1309]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp28
    | ( c1_1 @ a202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ( c1_1 @ a202 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('58',plain,
    ( ( c3_1 @ a202 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl63,plain,
    ! [X98: $i,X99: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ( c3_1 @ X98 )
      | ~ ndr1_0
      | ( c0_1 @ X99 )
      | ( c2_1 @ X99 )
      | ( c3_1 @ X99 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp28
    | ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) )
    | ~ ndr1_0
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl386_022,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl556,plain,
    ( ~ ( c3_1 @ a233 )
   <= ~ ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl2014,plain,
    ( ( ( c2_1 @ a233 )
      | ( c0_1 @ a233 ) )
   <= ( ~ ( c3_1 @ a233 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl556]) ).

thf('60',plain,
    ( ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) )
    | ( c0_1 @ a233 )
    | ( c3_1 @ a233 )
    | ( c2_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2014]) ).

thf(zip_derived_cl61,plain,
    ! [X95: $i] :
      ( ( c0_1 @ X95 )
      | ( c1_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl426,plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl556_023,plain,
    ( ~ ( c3_1 @ a233 )
   <= ~ ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl2120,plain,
    ( ( ( c1_1 @ a233 )
      | ( c0_1 @ a233 ) )
   <= ( ~ ( c3_1 @ a233 )
      & ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl556]) ).

thf('61',plain,
    ( ~ ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) )
    | ( c0_1 @ a233 )
    | ( c3_1 @ a233 )
    | ( c1_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2120]) ).

thf(zip_derived_cl438_024,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl18,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ndr1_0
      | hskp0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl556_025,plain,
    ( ~ ( c3_1 @ a233 )
   <= ~ ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl873,plain,
    ( ( ~ ( c0_1 @ a233 )
      | ( c2_1 @ a233 ) )
   <= ( ~ ( c3_1 @ a233 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl556]) ).

thf(zip_derived_cl920,plain,
    ( ~ ( c0_1 @ a233 )
   <= ~ ( c0_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl873]) ).

thf(zip_derived_cl2161,plain,
    ( ( ( c2_1 @ a233 )
      | ( c1_1 @ a233 ) )
   <= ( ~ ( c0_1 @ a233 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl920]) ).

thf('62',plain,
    ( ( c0_1 @ a233 )
    | ( c2_1 @ a233 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) )
    | ( c1_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl2161]) ).

thf(zip_derived_cl352_026,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl556_027,plain,
    ( ~ ( c3_1 @ a233 )
   <= ~ ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1717,plain,
    ( ( ~ ( c2_1 @ a233 )
      | ( c0_1 @ a233 ) )
   <= ( ~ ( c3_1 @ a233 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl556]) ).

thf(zip_derived_cl4937,plain,
    ( ( c0_1 @ a233 )
   <= ( c0_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1717]) ).

thf(zip_derived_cl295_028,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl4964,plain,
    ( ( ( c1_1 @ a233 )
      | ( c2_1 @ a233 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ( c0_1 @ a233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4937,zip_derived_cl295]) ).

thf('63',plain,
    ( ~ ( c0_1 @ a233 )
    | ( c1_1 @ a233 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c2_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl4964]) ).

thf('64',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | hskp20
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl386_029,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ~ ( c3_1 @ a214 )
   <= ~ ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2010,plain,
    ( ( ( c2_1 @ a214 )
      | ( c0_1 @ a214 ) )
   <= ( ~ ( c3_1 @ a214 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl620]) ).

thf('65',plain,
    ( ( c0_1 @ a214 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) )
    | ( c2_1 @ a214 )
    | ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl2010]) ).

thf('66',plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c1_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp19
    | ( c1_1 @ a238 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c1_1 @ a238 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp19
    | ( c3_1 @ a238 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c3_1 @ a238 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a238 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ ( c2_1 @ a238 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl546,plain,
    ( ( c3_1 @ a238 )
   <= ( c3_1 @ a238 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl232_030,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c2_1 @ a238 )
      | ~ ( c1_1 @ a238 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a238 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl232]) ).

thf('70',plain,
    ( ( c2_1 @ a238 )
    | ~ ( c3_1 @ a238 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a238 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp13
    | ( c3_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ( c3_1 @ a218 )
   <= ( c3_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl34,plain,
    ! [X37: $i] :
      ( ( c0_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp29
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1487,plain,
    ( ( ( c0_1 @ a218 )
      | ~ ( c2_1 @ a218 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a218 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl318]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a218 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ~ ( c3_1 @ a218 )
    | ( c0_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1487]) ).

thf(zip_derived_cl255_031,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl212_032,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl863,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl212]) ).

thf(zip_derived_cl889,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl863]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp6
    | ( c0_1 @ a208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ( c0_1 @ a208 )
   <= ( c0_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl2669,plain,
    ( ( ( c2_1 @ a208 )
      | ~ ( c1_1 @ a208 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
      & ( c0_1 @ a208 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl889,zip_derived_cl648]) ).

thf('72',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ~ ( c0_1 @ a208 )
    | ~ ( c1_1 @ a208 )
    | ( c2_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl2669]) ).

thf(zip_derived_cl43,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl620_033,plain,
    ( ~ ( c3_1 @ a214 )
   <= ~ ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1768,plain,
    ( ( ~ ( c1_1 @ a214 )
      | ( c0_1 @ a214 ) )
   <= ( ~ ( c3_1 @ a214 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl620]) ).

thf('73',plain,
    ( ( c0_1 @ a214 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ( c3_1 @ a214 )
    | ~ ( c1_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf(zip_derived_cl255_034,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl620_035,plain,
    ( ~ ( c3_1 @ a214 )
   <= ~ ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl869,plain,
    ( ( ~ ( c0_1 @ a214 )
      | ( c2_1 @ a214 ) )
   <= ( ~ ( c3_1 @ a214 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl620]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a214 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c2_1 @ a214 )
    | ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl869]) ).

thf(zip_derived_cl594_036,plain,
    ( ( c3_1 @ a218 )
   <= ( c3_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl354,plain,
    ( ! [X54: $i] :
        ( ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1489,plain,
    ( ( ~ ( c1_1 @ a218 )
      | ~ ( c2_1 @ a218 ) )
   <= ( ! [X54: $i] :
          ( ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a218 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl354]) ).

thf('75',plain,
    ( ~ ! [X54: $i] :
          ( ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c2_1 @ a218 )
    | ~ ( c3_1 @ a218 )
    | ~ ( c1_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1489]) ).

thf('76',plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c1_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i,X12: $i,X13: $i] :
      ( ( c2_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | ( c2_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl594_037,plain,
    ( ( c3_1 @ a218 )
   <= ( c3_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl232_038,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1481,plain,
    ( ( ( c2_1 @ a218 )
      | ~ ( c1_1 @ a218 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a218 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl232]) ).

thf('78',plain,
    ( ( c2_1 @ a218 )
    | ~ ( c1_1 @ a218 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl352_039,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl572_040,plain,
    ( ~ ( c3_1 @ a231 )
   <= ~ ( c3_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1716,plain,
    ( ( ~ ( c2_1 @ a231 )
      | ( c0_1 @ a231 ) )
   <= ( ~ ( c3_1 @ a231 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl572]) ).

thf(zip_derived_cl4901,plain,
    ( ( c0_1 @ a231 )
   <= ( c0_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1716]) ).

thf(zip_derived_cl267_041,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl4927,plain,
    ( ( ( c1_1 @ a231 )
      | ~ ( c2_1 @ a231 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a231 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4901,zip_derived_cl267]) ).

thf('79',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c0_1 @ a231 )
    | ~ ( c2_1 @ a231 )
    | ( c1_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl4927]) ).

thf(zip_derived_cl696_042,plain,
    ( ( c3_1 @ a199 )
   <= ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl371_043,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1813,plain,
    ( ( ( c0_1 @ a199 )
      | ( c2_1 @ a199 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
      & ( c3_1 @ a199 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl371]) ).

thf('80',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ( c2_1 @ a199 )
    | ( c0_1 @ a199 )
    | ~ ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl1813]) ).

thf(zip_derived_cl696_044,plain,
    ( ( c3_1 @ a199 )
   <= ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl288_045,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c2_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c2_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1588,plain,
    ( ( ( c1_1 @ a199 )
      | ~ ( c2_1 @ a199 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c2_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c3_1 @ a199 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl288]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a199 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c2_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ( c1_1 @ a199 )
    | ~ ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl1588]) ).

thf('82',plain,
    ( ( c0_1 @ a231 )
    | ( c3_1 @ a231 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) )
    | ~ ( c2_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl1716]) ).

thf('83',plain,
    ( ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c2_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl52,plain,
    ! [X74: $i,X75: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp0
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl480_046,plain,
    ( ( c0_1 @ a198 )
   <= ( c0_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl224_047,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl247_048,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl783,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl247]) ).

thf(zip_derived_cl784,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl783]) ).

thf(zip_derived_cl1315,plain,
    ( ( ~ ( c1_1 @ a198 )
      | ~ ( c2_1 @ a198 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c0_1 @ a198 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl784]) ).

thf('85',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a198 )
    | ~ ( c0_1 @ a198 )
    | ~ ( c2_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl634_049,plain,
    ( ( c3_1 @ a212 )
   <= ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl284_050,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1513,plain,
    ( ( ( c1_1 @ a212 )
      | ( c2_1 @ a212 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl284]) ).

thf('86',plain,
    ( ( c2_1 @ a212 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a212 )
    | ~ ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1513]) ).

thf(zip_derived_cl476_051,plain,
    ( ( c3_1 @ a202 )
   <= ( c3_1 @ a202 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl322_052,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1447,plain,
    ( ( ( c0_1 @ a202 )
      | ~ ( c1_1 @ a202 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a202 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl322]) ).

thf('87',plain,
    ( ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c0_1 @ a202 )
    | ~ ( c3_1 @ a202 )
    | ~ ( c1_1 @ a202 ) ),
    inference(split,[status(esa)],[zip_derived_cl1447]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl6,plain,
    ( hskp27
    | hskp24
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( hskp27
    | hskp4
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp29
    | ( c3_1 @ a227 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ( c3_1 @ a227 )
   <= ( c3_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl212_053,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1250,plain,
    ( ( ~ ( c0_1 @ a227 )
      | ~ ( c1_1 @ a227 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a227 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl212]) ).

thf('91',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a227 )
    | ~ ( c3_1 @ a227 )
    | ~ ( c0_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl1250]) ).

thf(zip_derived_cl53,plain,
    ! [X76: $i,X77: $i,X78: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c0_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0
      | ( c3_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl386_054,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c2_1 @ X73 )
        | ( c3_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ~ ( c3_1 @ a248 )
   <= ~ ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl2017,plain,
    ( ( ( c2_1 @ a248 )
      | ( c0_1 @ a248 ) )
   <= ( ~ ( c3_1 @ a248 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl516]) ).

thf('93',plain,
    ( ( c0_1 @ a248 )
    | ( c2_1 @ a248 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c2_1 @ X73 )
          | ( c3_1 @ X73 ) )
    | ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl2017]) ).

thf(zip_derived_cl352_055,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl540_056,plain,
    ( ~ ( c3_1 @ a239 )
   <= ~ ( c3_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1718,plain,
    ( ( ~ ( c2_1 @ a239 )
      | ( c0_1 @ a239 ) )
   <= ( ~ ( c3_1 @ a239 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl540]) ).

thf('94',plain,
    ( ( c0_1 @ a239 )
    | ( c3_1 @ a239 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) )
    | ~ ( c2_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl1718]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp24
    | ( c3_1 @ a249 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl506,plain,
    ( ( c3_1 @ a249 )
   <= ( c3_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl259,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1348,plain,
    ( ( ( c1_1 @ a249 )
      | ~ ( c0_1 @ a249 ) )
   <= ( ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c3_1 @ a249 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl259]) ).

thf('95',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ( c1_1 @ a249 )
    | ~ ( c3_1 @ a249 )
    | ~ ( c0_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl1348]) ).

thf(zip_derived_cl506_057,plain,
    ( ( c3_1 @ a249 )
   <= ( c3_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl212_058,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1344,plain,
    ( ( ~ ( c0_1 @ a249 )
      | ~ ( c1_1 @ a249 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a249 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl212]) ).

thf('96',plain,
    ( ~ ( c1_1 @ a249 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a249 )
    | ~ ( c0_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl1344]) ).

thf(zip_derived_cl92,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(zip_derived_cl355_059,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl540_060,plain,
    ( ~ ( c3_1 @ a239 )
   <= ~ ( c3_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1773,plain,
    ( ( ~ ( c1_1 @ a239 )
      | ( c0_1 @ a239 ) )
   <= ( ~ ( c3_1 @ a239 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl540]) ).

thf('98',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ~ ( c1_1 @ a239 )
    | ( c3_1 @ a239 )
    | ( c0_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf('99',plain,
    ( hskp12
    | ! [X54: $i] :
        ( ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp12
    | ( c0_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c0_1 @ a217 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c2_1 @ a217 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ ( c3_1 @ a217 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl255_061,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl604,plain,
    ( ~ ( c3_1 @ a217 )
   <= ~ ( c3_1 @ a217 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl871,plain,
    ( ( ~ ( c0_1 @ a217 )
      | ( c2_1 @ a217 ) )
   <= ( ~ ( c3_1 @ a217 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl604]) ).

thf('103',plain,
    ( ( c2_1 @ a217 )
    | ( c3_1 @ a217 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ~ ( c0_1 @ a217 ) ),
    inference(split,[status(esa)],[zip_derived_cl871]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp14
    | ( c3_1 @ a219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl586,plain,
    ( ( c3_1 @ a219 )
   <= ( c3_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl354_062,plain,
    ( ! [X54: $i] :
        ( ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1477,plain,
    ( ( ~ ( c1_1 @ a219 )
      | ~ ( c2_1 @ a219 ) )
   <= ( ! [X54: $i] :
          ( ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl354]) ).

thf('104',plain,
    ( ~ ! [X54: $i] :
          ( ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c1_1 @ a219 )
    | ~ ( c2_1 @ a219 )
    | ~ ( c3_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl65,plain,
    ! [X101: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp0
    | hskp27
    | ~ ndr1_0
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('106',plain,
    ( hskp0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl586_063,plain,
    ( ( c3_1 @ a219 )
   <= ( c3_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl54,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c1_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c2_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1869,plain,
    ( ( ( c0_1 @ a219 )
      | ( c1_1 @ a219 ) )
   <= ( ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
      & ( c3_1 @ a219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl398]) ).

thf('107',plain,
    ( ( c1_1 @ a219 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ( c0_1 @ a219 )
    | ~ ( c3_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1869]) ).

thf('108',plain,
    ( ( c3_1 @ a199 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('109',plain,
    ( ~ ( c0_1 @ a199 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a199 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c1_1 @ a199 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl696_064,plain,
    ( ( c3_1 @ a199 )
   <= ( c3_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl398_065,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1865,plain,
    ( ( ( c0_1 @ a199 )
      | ( c1_1 @ a199 ) )
   <= ( ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
      & ( c3_1 @ a199 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl398]) ).

thf('111',plain,
    ( ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ~ ( c3_1 @ a199 )
    | ( c0_1 @ a199 )
    | ( c1_1 @ a199 ) ),
    inference(split,[status(esa)],[zip_derived_cl1865]) ).

thf(zip_derived_cl56,plain,
    ! [X84: $i,X85: $i,X86: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ~ ndr1_0
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl586_066,plain,
    ( ( c3_1 @ a219 )
   <= ( c3_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl318_067,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1475,plain,
    ( ( ( c0_1 @ a219 )
      | ~ ( c2_1 @ a219 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl318]) ).

thf('113',plain,
    ( ~ ( c2_1 @ a219 )
    | ~ ( c3_1 @ a219 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c0_1 @ a219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1475]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp14
    | ( c2_1 @ a219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ( c2_1 @ a219 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('115',plain,
    ( ( c3_1 @ a219 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c0_1 @ a219 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('117',plain,
    ( hskp14
    | ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl594_068,plain,
    ( ( c3_1 @ a218 )
   <= ( c3_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl322_069,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c1_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1488,plain,
    ( ( ( c0_1 @ a218 )
      | ~ ( c1_1 @ a218 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a218 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl322]) ).

thf('118',plain,
    ( ~ ( c1_1 @ a218 )
    | ~ ( c3_1 @ a218 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c1_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c0_1 @ a218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp13
    | ( c1_1 @ a218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c1_1 @ a218 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('120',plain,
    ( ( c3_1 @ a218 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a218 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2,plain,
    ( hskp8
    | hskp13
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( hskp13
    | hskp8
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ( hskp24
    | hskp4
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp4
    | hskp24
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp20
    | ( c2_1 @ a239 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ( c2_1 @ a239 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('125',plain,
    ( ~ ( c0_1 @ a239 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('126',plain,
    ( ~ ( c3_1 @ a239 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(zip_derived_cl4,plain,
    ( hskp6
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp9
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl410_070,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl538_071,plain,
    ( ~ ( c0_1 @ a239 )
   <= ~ ( c0_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl2058,plain,
    ( ( ~ ( c2_1 @ a239 )
      | ( c1_1 @ a239 ) )
   <= ( ~ ( c0_1 @ a239 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl538]) ).

thf('129',plain,
    ( ( c1_1 @ a239 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) )
    | ( c0_1 @ a239 )
    | ~ ( c2_1 @ a239 ) ),
    inference(split,[status(esa)],[zip_derived_cl2058]) ).

thf(zip_derived_cl253,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl212_072,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl820,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl212]) ).

thf(zip_derived_cl844,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl820]) ).

thf(zip_derived_cl648_073,plain,
    ( ( c0_1 @ a208 )
   <= ( c0_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl2463,plain,
    ( ( ~ ( c1_1 @ a208 )
      | ( c2_1 @ a208 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c0_1 @ a208 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl648]) ).

thf('130',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a208 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a208 )
    | ( c2_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl2463]) ).

thf(zip_derived_cl287,plain,
    ( ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl212_074,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1115,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl212]) ).

thf(zip_derived_cl1146,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1115]) ).

thf(zip_derived_cl480_075,plain,
    ( ( c0_1 @ a198 )
   <= ( c0_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl2214,plain,
    ( ~ ( c1_1 @ a198 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) )
      & ( c0_1 @ a198 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1146,zip_derived_cl480]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp27
    | ( c1_1 @ a198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ( c1_1 @ a198 )
   <= ( c1_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('131',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) )
    | ~ ( c0_1 @ a198 )
    | ~ ( c1_1 @ a198 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2214,zip_derived_cl482]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c2_1 @ a214 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a214 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl253_076,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl620_077,plain,
    ( ~ ( c3_1 @ a214 )
   <= ~ ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl825,plain,
    ( ( ~ ( c1_1 @ a214 )
      | ( c2_1 @ a214 ) )
   <= ( ~ ( c3_1 @ a214 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl620]) ).

thf('134',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a214 )
    | ( c3_1 @ a214 )
    | ~ ( c1_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl825]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp17
    | ( c3_1 @ a232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl560,plain,
    ( ( c3_1 @ a232 )
   <= ( c3_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl318_078,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1415,plain,
    ( ( ( c0_1 @ a232 )
      | ~ ( c2_1 @ a232 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a232 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl318]) ).

thf(zip_derived_cl4307,plain,
    ( ( c0_1 @ a232 )
   <= ( c0_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1415]) ).

thf(zip_derived_cl295_079,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl4332,plain,
    ( ( ( c1_1 @ a232 )
      | ( c2_1 @ a232 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ( c0_1 @ a232 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4307,zip_derived_cl295]) ).

thf('135',plain,
    ( ~ ( c0_1 @ a232 )
    | ( c2_1 @ a232 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ( c1_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl4332]) ).

thf(zip_derived_cl560_080,plain,
    ( ( c3_1 @ a232 )
   <= ( c3_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl371_081,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1818,plain,
    ( ( ( c0_1 @ a232 )
      | ( c2_1 @ a232 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
      & ( c3_1 @ a232 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl371]) ).

thf('136',plain,
    ( ( c0_1 @ a232 )
    | ( c2_1 @ a232 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ~ ( c3_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1818]) ).

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

thf('137',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl560_082,plain,
    ( ( c3_1 @ a232 )
   <= ( c3_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl284_083,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1413,plain,
    ( ( ( c1_1 @ a232 )
      | ( c2_1 @ a232 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a232 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl284]) ).

thf('138',plain,
    ( ~ ( c3_1 @ a232 )
    | ( c1_1 @ a232 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c2_1 @ a232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1413]) ).

thf('139',plain,
    ( ( c3_1 @ a232 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a232 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ~ ( c2_1 @ a232 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl23,plain,
    ! [X19: $i,X20: $i] :
      ( ( c1_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0
      | ( c2_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( hskp17
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp16
    | ( c2_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ( c2_1 @ a231 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a231 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ~ ( c1_1 @ a231 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('145',plain,
    ( ~ ( c3_1 @ a231 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl22,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ndr1_0
      | hskp3
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl271,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl572_084,plain,
    ( ~ ( c3_1 @ a231 )
   <= ~ ( c3_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl955,plain,
    ( ( ~ ( c2_1 @ a231 )
      | ( c1_1 @ a231 ) )
   <= ( ~ ( c3_1 @ a231 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl572]) ).

thf('146',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ( c1_1 @ a231 )
    | ( c3_1 @ a231 )
    | ~ ( c2_1 @ a231 ) ),
    inference(split,[status(esa)],[zip_derived_cl955]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp15
    | ( c0_1 @ a228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl576,plain,
    ( ( c0_1 @ a228 )
   <= ( c0_1 @ a228 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl267_085,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1459,plain,
    ( ( ( c1_1 @ a228 )
      | ~ ( c2_1 @ a228 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a228 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl267]) ).

thf('147',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c0_1 @ a228 )
    | ~ ( c2_1 @ a228 )
    | ( c1_1 @ a228 ) ),
    inference(split,[status(esa)],[zip_derived_cl1459]) ).

thf(zip_derived_cl32,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp30
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( hskp16
    | hskp30
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('149',plain,
    ( ( c0_1 @ a228 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp15
    | ( c2_1 @ a228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c2_1 @ a228 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a228 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c1_1 @ a228 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ~ ( c1_1 @ a233 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ~ ( c2_1 @ a233 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a233 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl307_086,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl556_087,plain,
    ( ~ ( c3_1 @ a233 )
   <= ~ ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1282,plain,
    ( ( ( c2_1 @ a233 )
      | ( c1_1 @ a233 ) )
   <= ( ~ ( c3_1 @ a233 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl556]) ).

thf('155',plain,
    ( ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) )
    | ( c1_1 @ a233 )
    | ( c2_1 @ a233 )
    | ( c3_1 @ a233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1282]) ).

thf('156',plain,
    ( hskp15
    | ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl15,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp29
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp29
    | ~ ndr1_0
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl60,plain,
    ! [X92: $i,X93: $i,X94: $i] :
      ( ( c0_1 @ X92 )
      | ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ndr1_0
      | ( c2_1 @ X94 )
      | ~ ( c0_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp5
    | ( c3_1 @ a205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ( c3_1 @ a205 )
   <= ( c3_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl318_088,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1561,plain,
    ( ( ( c0_1 @ a205 )
      | ~ ( c2_1 @ a205 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl318]) ).

thf('159',plain,
    ( ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c0_1 @ a205 )
    | ~ ( c3_1 @ a205 )
    | ~ ( c2_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1561]) ).

thf(zip_derived_cl658_089,plain,
    ( ( c3_1 @ a205 )
   <= ( c3_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl398_090,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1866,plain,
    ( ( ( c0_1 @ a205 )
      | ( c1_1 @ a205 ) )
   <= ( ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
      & ( c3_1 @ a205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl398]) ).

thf('160',plain,
    ( ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ~ ( c3_1 @ a205 )
    | ( c1_1 @ a205 )
    | ( c0_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1866]) ).

thf(zip_derived_cl45,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( hskp10
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c1_1 @ X41 )
        | ~ ( c2_1 @ X41 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp3
    | ( c1_1 @ a203 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ( c1_1 @ a203 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('163',plain,
    ( ~ ( c0_1 @ a203 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('164',plain,
    ( ~ ( c3_1 @ a203 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl480_091,plain,
    ( ( c0_1 @ a198 )
   <= ( c0_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl36,plain,
    ! [X39: $i,X40: $i,X41: $i] :
      ( ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl326,plain,
    ( ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c1_1 @ X41 )
        | ~ ( c2_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c1_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1319,plain,
    ( ( ~ ( c1_1 @ a198 )
      | ~ ( c2_1 @ a198 ) )
   <= ( ! [X41: $i] :
          ( ~ ( c0_1 @ X41 )
          | ~ ( c1_1 @ X41 )
          | ~ ( c2_1 @ X41 ) )
      & ( c0_1 @ a198 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl326]) ).

thf('165',plain,
    ( ~ ! [X41: $i] :
          ( ~ ( c0_1 @ X41 )
          | ~ ( c1_1 @ X41 )
          | ~ ( c2_1 @ X41 ) )
    | ~ ( c1_1 @ a198 )
    | ~ ( c2_1 @ a198 )
    | ~ ( c0_1 @ a198 ) ),
    inference(split,[status(esa)],[zip_derived_cl1319]) ).

thf(zip_derived_cl62,plain,
    ! [X96: $i,X97: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c2_1 @ X97 )
      | ~ ( c0_1 @ X97 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
    | ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('167',plain,
    ( ( c0_1 @ a198 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('168',plain,
    ( ( c1_1 @ a198 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp27
    | ( c2_1 @ a198 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ( c2_1 @ a198 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl426_092,plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl516_093,plain,
    ( ~ ( c3_1 @ a248 )
   <= ~ ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c1_1 @ a248 )
      | ( c0_1 @ a248 ) )
   <= ( ~ ( c3_1 @ a248 )
      & ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl516]) ).

thf('170',plain,
    ( ( c1_1 @ a248 )
    | ( c3_1 @ a248 )
    | ~ ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) )
    | ( c0_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl33,plain,
    ! [X36: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( hskp27
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl253_094,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl516_095,plain,
    ( ~ ( c3_1 @ a248 )
   <= ~ ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl832,plain,
    ( ( ~ ( c1_1 @ a248 )
      | ( c2_1 @ a248 ) )
   <= ( ~ ( c3_1 @ a248 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl516]) ).

thf('172',plain,
    ( ~ ( c1_1 @ a248 )
    | ( c2_1 @ a248 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a248 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c2_1 @ a248 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl307_096,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl516_097,plain,
    ( ~ ( c3_1 @ a248 )
   <= ~ ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1285,plain,
    ( ( ( c2_1 @ a248 )
      | ( c1_1 @ a248 ) )
   <= ( ~ ( c3_1 @ a248 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl516]) ).

thf('174',plain,
    ( ( c1_1 @ a248 )
    | ( c2_1 @ a248 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ( c3_1 @ X34 ) )
    | ( c3_1 @ a248 ) ),
    inference(split,[status(esa)],[zip_derived_cl1285]) ).

thf('175',plain,
    ( ~ ( c0_1 @ a248 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('176',plain,
    ( ~ ( c3_1 @ a248 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp30
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( hskp30
    | hskp23
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl632_098,plain,
    ( ( c0_1 @ a212 )
   <= ( c0_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl295_099,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c0_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1504,plain,
    ( ( ( c1_1 @ a212 )
      | ( c2_1 @ a212 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
      & ( c0_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl295]) ).

thf('178',plain,
    ( ( c2_1 @ a212 )
    | ( c1_1 @ a212 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c0_1 @ X31 ) )
    | ~ ( c0_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1504]) ).

thf(zip_derived_cl634_100,plain,
    ( ( c3_1 @ a212 )
   <= ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl259_101,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1512,plain,
    ( ( ( c1_1 @ a212 )
      | ~ ( c0_1 @ a212 ) )
   <= ( ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c3_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl259]) ).

thf('179',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c0_1 @ a212 )
    | ( c1_1 @ a212 )
    | ~ ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1512]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ ( c1_1 @ a212 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf('181',plain,
    ( hskp5
    | hskp4
    | ~ ndr1_0
    | ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl67,plain,
    ! [X105: $i,X106: $i,X107: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ( c2_1 @ X105 )
      | ~ ndr1_0
      | ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0
      | ( c3_1 @ X107 )
      | ~ ( c0_1 @ X107 )
      | ~ ( c1_1 @ X107 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
    | ~ ndr1_0
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl426_102,plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl612_103,plain,
    ( ~ ( c3_1 @ a216 )
   <= ~ ( c3_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2117,plain,
    ( ( ( c1_1 @ a216 )
      | ( c0_1 @ a216 ) )
   <= ( ~ ( c3_1 @ a216 )
      & ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl612]) ).

thf('183',plain,
    ( ~ ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ( c3_1 @ X95 ) )
    | ( c0_1 @ a216 )
    | ( c1_1 @ a216 )
    | ( c3_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl2117]) ).

thf(zip_derived_cl287_104,plain,
    ( ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c1_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl644_105,plain,
    ( ~ ( c3_1 @ a209 )
   <= ~ ( c3_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1123,plain,
    ( ( ~ ( c1_1 @ a209 )
      | ~ ( c0_1 @ a209 ) )
   <= ( ~ ( c3_1 @ a209 )
      & ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl644]) ).

thf('184',plain,
    ( ~ ( c0_1 @ a209 )
    | ~ ( c1_1 @ a209 )
    | ~ ! [X28: $i] :
          ( ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c1_1 @ X28 ) )
    | ( c3_1 @ a209 ) ),
    inference(split,[status(esa)],[zip_derived_cl1123]) ).

thf('185',plain,
    ( ~ ( c0_1 @ a216 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ ( c1_1 @ a216 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('187',plain,
    ( ~ ( c3_1 @ a216 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('188',plain,
    ( ( c0_1 @ a209 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp7
    | ( c1_1 @ a209 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ( c1_1 @ a209 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a209 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp8
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( hskp11
    | hskp8
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp7
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( hskp24
    | hskp7
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf('193',plain,
    ( ( c0_1 @ a212 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('194',plain,
    ( ( c3_1 @ a212 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl634_106,plain,
    ( ( c3_1 @ a212 )
   <= ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl247_107,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1511,plain,
    ( ( ~ ( c0_1 @ a212 )
      | ~ ( c2_1 @ a212 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl247]) ).

thf('195',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a212 )
    | ~ ( c3_1 @ a212 )
    | ~ ( c0_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf(zip_derived_cl634_108,plain,
    ( ( c3_1 @ a212 )
   <= ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl239,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1510,plain,
    ( ( ( c2_1 @ a212 )
      | ~ ( c0_1 @ a212 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a212 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl239]) ).

thf('196',plain,
    ( ( c2_1 @ a212 )
    | ~ ( c0_1 @ a212 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1510]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp24
    | ( c0_1 @ a249 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ( c0_1 @ a249 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('198',plain,
    ( ( c3_1 @ a249 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a249 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ ( c2_1 @ a249 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl506_109,plain,
    ( ( c3_1 @ a249 )
   <= ( c3_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl239_110,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( c2_1 @ a249 )
      | ~ ( c0_1 @ a249 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a249 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl239]) ).

thf('200',plain,
    ( ~ ( c3_1 @ a249 )
    | ( c2_1 @ a249 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a249 ) ),
    inference(split,[status(esa)],[zip_derived_cl1346]) ).

thf('201',plain,
    ( ( c3_1 @ a205 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl658_111,plain,
    ( ( c3_1 @ a205 )
   <= ( c3_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl247_112,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1557,plain,
    ( ( ~ ( c0_1 @ a205 )
      | ~ ( c2_1 @ a205 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl247]) ).

thf('202',plain,
    ( ~ ( c0_1 @ a205 )
    | ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a205 )
    | ~ ( c3_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1557]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp5
    | ( c2_1 @ a205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c2_1 @ a205 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ~ ( c1_1 @ a205 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl658_113,plain,
    ( ( c3_1 @ a205 )
   <= ( c3_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl212_114,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1554,plain,
    ( ( ~ ( c0_1 @ a205 )
      | ~ ( c1_1 @ a205 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl212]) ).

thf(zip_derived_cl2400,plain,
    ( ~ ( c0_1 @ a205 )
   <= ~ ( c0_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1554]) ).

thf(zip_derived_cl410_115,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c2_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl2404,plain,
    ( ( ( c1_1 @ a205 )
      | ~ ( c2_1 @ a205 ) )
   <= ( ~ ( c0_1 @ a205 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2400,zip_derived_cl410]) ).

thf('205',plain,
    ( ( c0_1 @ a205 )
    | ( c1_1 @ a205 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c2_1 @ X87 ) )
    | ~ ( c2_1 @ a205 ) ),
    inference(split,[status(esa)],[zip_derived_cl2404]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp4
    | ( c1_1 @ a204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ( c1_1 @ a204 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ~ ( c0_1 @ a204 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ~ ( c2_1 @ a204 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl384_116,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl666,plain,
    ( ~ ( c0_1 @ a204 )
   <= ~ ( c0_1 @ a204 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1942,plain,
    ( ( ~ ( c1_1 @ a204 )
      | ( c2_1 @ a204 ) )
   <= ( ~ ( c0_1 @ a204 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl666]) ).

thf('209',plain,
    ( ~ ( c1_1 @ a204 )
    | ( c0_1 @ a204 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c2_1 @ a204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1942]) ).

thf(zip_derived_cl66,plain,
    ! [X102: $i,X103: $i,X104: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c0_1 @ X103 )
      | ( c2_1 @ X103 )
      | ~ ( c1_1 @ X103 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X104 )
      | ~ ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
    | ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ~ ( c0_1 @ a213 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ~ ( c1_1 @ a213 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ~ ( c2_1 @ a213 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl438_117,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ( c2_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl624,plain,
    ( ~ ( c0_1 @ a213 )
   <= ~ ( c0_1 @ a213 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl2154,plain,
    ( ( ( c2_1 @ a213 )
      | ( c1_1 @ a213 ) )
   <= ( ~ ( c0_1 @ a213 )
      & ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl624]) ).

thf('214',plain,
    ( ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ( c2_1 @ X100 ) )
    | ( c0_1 @ a213 )
    | ( c1_1 @ a213 )
    | ( c2_1 @ a213 ) ),
    inference(split,[status(esa)],[zip_derived_cl2154]) ).

thf('215',plain,
    ( hskp10
    | hskp9
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl355_118,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl676_119,plain,
    ( ~ ( c3_1 @ a203 )
   <= ~ ( c3_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1766,plain,
    ( ( ~ ( c1_1 @ a203 )
      | ( c0_1 @ a203 ) )
   <= ( ~ ( c3_1 @ a203 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl676]) ).

thf('216',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ( c0_1 @ a203 )
    | ( c3_1 @ a203 )
    | ~ ( c1_1 @ a203 ) ),
    inference(split,[status(esa)],[zip_derived_cl1766]) ).

thf('217',plain,
    ( ( c0_1 @ a230 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp30
    | ( c2_1 @ a230 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ( c2_1 @ a230 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('219',plain,
    ( ( c3_1 @ a230 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl460_120,plain,
    ( ( c3_1 @ a230 )
   <= ( c3_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl247_121,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1237,plain,
    ( ( ~ ( c0_1 @ a230 )
      | ~ ( c2_1 @ a230 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a230 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl247]) ).

thf('220',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a230 )
    | ~ ( c2_1 @ a230 )
    | ~ ( c3_1 @ a230 ) ),
    inference(split,[status(esa)],[zip_derived_cl1237]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp29
    | ( c0_1 @ a227 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl464,plain,
    ( ( c0_1 @ a227 )
   <= ( c0_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl248_122,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1244,plain,
    ( ( ( c2_1 @ a227 )
      | ~ ( c1_1 @ a227 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a227 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl248]) ).

thf('221',plain,
    ( ( c2_1 @ a227 )
    | ~ ( c1_1 @ a227 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c0_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl1244]) ).

thf(zip_derived_cl468_123,plain,
    ( ( c3_1 @ a227 )
   <= ( c3_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl232_124,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1251,plain,
    ( ( ( c2_1 @ a227 )
      | ~ ( c1_1 @ a227 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a227 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl232]) ).

thf('222',plain,
    ( ( c2_1 @ a227 )
    | ~ ( c3_1 @ a227 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl1251]) ).

thf(zip_derived_cl468_125,plain,
    ( ( c3_1 @ a227 )
   <= ( c3_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl247_126,plain,
    ( ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1253,plain,
    ( ( ~ ( c0_1 @ a227 )
      | ~ ( c2_1 @ a227 ) )
   <= ( ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a227 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl247]) ).

thf('223',plain,
    ( ~ ! [X10: $i] :
          ( ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a227 )
    | ~ ( c0_1 @ a227 )
    | ~ ( c3_1 @ a227 ) ),
    inference(split,[status(esa)],[zip_derived_cl1253]) ).

thf('224',plain,
    ( ( c0_1 @ a227 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp29
    | ( c1_1 @ a227 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ( c1_1 @ a227 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('226',plain,
    ( ( c3_1 @ a227 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('227',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl352_127,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl612_128,plain,
    ( ~ ( c3_1 @ a216 )
   <= ~ ( c3_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1714,plain,
    ( ( ~ ( c2_1 @ a216 )
      | ( c0_1 @ a216 ) )
   <= ( ~ ( c3_1 @ a216 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl612]) ).

thf('228',plain,
    ( ~ ( c2_1 @ a216 )
    | ( c3_1 @ a216 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) )
    | ( c0_1 @ a216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1714]) ).

thf('229',plain,
    ( ( c0_1 @ a208 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp6
    | ( c1_1 @ a208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ( c1_1 @ a208 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ~ ( c2_1 @ a208 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl648_129,plain,
    ( ( c0_1 @ a208 )
   <= ( c0_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl248_130,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1540,plain,
    ( ( ( c2_1 @ a208 )
      | ~ ( c1_1 @ a208 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a208 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl248]) ).

thf('232',plain,
    ( ~ ( c0_1 @ a208 )
    | ~ ( c1_1 @ a208 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c2_1 @ a208 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf(zip_derived_cl5,plain,
    ( hskp6
    | hskp10
    | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( hskp10
    | hskp6
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp10
    | ( c1_1 @ a214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ( c1_1 @ a214 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl352_131,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c2_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl620_132,plain,
    ( ~ ( c3_1 @ a214 )
   <= ~ ( c3_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1713,plain,
    ( ( ~ ( c2_1 @ a214 )
      | ( c0_1 @ a214 ) )
   <= ( ~ ( c3_1 @ a214 )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c2_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl620]) ).

thf(zip_derived_cl4732,plain,
    ( ( c0_1 @ a214 )
   <= ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1713]) ).

thf(zip_derived_cl248_133,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl4756,plain,
    ( ( ( c2_1 @ a214 )
      | ~ ( c1_1 @ a214 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c0_1 @ a214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4732,zip_derived_cl248]) ).

thf('235',plain,
    ( ~ ( c0_1 @ a214 )
    | ~ ( c1_1 @ a214 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl4756]) ).

thf(zip_derived_cl384_134,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl900,plain,
    ( ~ ( c0_1 @ a214 )
   <= ~ ( c0_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl869]) ).

thf(zip_derived_cl1945,plain,
    ( ( ~ ( c1_1 @ a214 )
      | ( c2_1 @ a214 ) )
   <= ( ~ ( c0_1 @ a214 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl900]) ).

thf('236',plain,
    ( ( c0_1 @ a214 )
    | ~ ( c1_1 @ a214 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c2_1 @ a214 ) ),
    inference(split,[status(esa)],[zip_derived_cl1945]) ).

thf(zip_derived_cl10204,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN467+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rLXXV265UK true
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 20:20:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.20/0.60  % Total configuration time : 435
% 0.20/0.60  % Estimated wc time : 1092
% 0.20/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.29/3.22  % Solved by fo/fo1_av.sh.
% 18.29/3.22  % done 2899 iterations in 2.411s
% 18.29/3.22  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.29/3.22  % SZS output start Refutation
% See solution above
% 18.29/3.23  
% 18.29/3.23  
% 18.29/3.23  % Terminating...
% 18.96/3.34  % Runner terminated.
% 18.96/3.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------