TSTP Solution File: SYN504+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN504+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.BdglLTTfHs true

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:14 EDT 2023

% Result   : Theorem 6.84s 1.63s
% Output   : Refutation 7.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  738 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4750 (   0 equ;   0 cnn)
%            Maximal formula atoms :  773 (   7 avg)
%            Number of connectives : 10192 (2430   ~;3006   |; 526   &;3681   @)
%                                         (   0 <=>; 252  =>; 297  <=;   0 <~>)
%            Maximal formula depth :  115 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  869 (   0   ^; 869   !;   0   ?; 869   :)

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

thf(a357_type,type,
    a357: $i ).

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

thf(a373_type,type,
    a373: $i ).

thf(a368_type,type,
    a368: $i ).

thf(a398_type,type,
    a398: $i ).

thf(a365_type,type,
    a365: $i ).

thf(a379_type,type,
    a379: $i ).

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

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

thf(a353_type,type,
    a353: $i ).

thf(hskp31_type,type,
    hskp31: $o ).

thf(a360_type,type,
    a360: $i ).

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

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

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

thf(a355_type,type,
    a355: $i ).

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

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

thf(a358_type,type,
    a358: $i ).

thf(a387_type,type,
    a387: $i ).

thf(a397_type,type,
    a397: $i ).

thf(a372_type,type,
    a372: $i ).

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

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

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

thf(a366_type,type,
    a366: $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(a410_type,type,
    a410: $i ).

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

thf(a364_type,type,
    a364: $i ).

thf(a369_type,type,
    a369: $i ).

thf(a382_type,type,
    a382: $i ).

thf(a395_type,type,
    a395: $i ).

thf(a418_type,type,
    a418: $i ).

thf(a380_type,type,
    a380: $i ).

thf(a376_type,type,
    a376: $i ).

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

thf(a388_type,type,
    a388: $i ).

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

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

thf(a361_type,type,
    a361: $i ).

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

thf(a417_type,type,
    a417: $i ).

thf(a363_type,type,
    a363: $i ).

thf(a370_type,type,
    a370: $i ).

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

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

thf(a375_type,type,
    a375: $i ).

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

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

thf(a359_type,type,
    a359: $i ).

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

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

thf(a399_type,type,
    a399: $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(a356_type,type,
    a356: $i ).

thf(a446_type,type,
    a446: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a353 )
          & ( c1_1 @ a353 )
          & ~ ( c2_1 @ a353 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a355 )
          & ( c3_1 @ a355 )
          & ~ ( c1_1 @ a355 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a356 )
          & ( c2_1 @ a356 )
          & ~ ( c1_1 @ a356 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a357 )
          & ( c3_1 @ a357 )
          & ~ ( c0_1 @ a357 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c2_1 @ a358 )
          & ~ ( c0_1 @ a358 )
          & ~ ( c3_1 @ a358 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a359 )
          & ~ ( c1_1 @ a359 )
          & ~ ( c3_1 @ a359 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c1_1 @ a360 )
          & ~ ( c2_1 @ a360 )
          & ~ ( c3_1 @ a360 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a361 )
          & ~ ( c1_1 @ a361 )
          & ~ ( c2_1 @ a361 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a363 )
          & ( c2_1 @ a363 )
          & ~ ( c3_1 @ a363 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a364 )
          & ~ ( c0_1 @ a364 )
          & ~ ( c1_1 @ a364 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a366 )
          & ~ ( c2_1 @ a366 )
          & ~ ( c3_1 @ a366 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a368 )
          & ( c3_1 @ a368 )
          & ~ ( c1_1 @ a368 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a369 )
          & ( c3_1 @ a369 )
          & ~ ( c2_1 @ a369 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a370 )
          & ( c2_1 @ a370 )
          & ~ ( c3_1 @ a370 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a375 )
          & ~ ( c0_1 @ a375 )
          & ~ ( c1_1 @ a375 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a376 )
          & ~ ( c1_1 @ a376 )
          & ~ ( c2_1 @ a376 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a379 )
          & ~ ( c1_1 @ a379 )
          & ~ ( c3_1 @ a379 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a380 )
          & ( c1_1 @ a380 )
          & ~ ( c3_1 @ a380 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a382 )
          & ~ ( c0_1 @ a382 )
          & ~ ( c2_1 @ a382 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a387 )
          & ~ ( c1_1 @ a387 )
          & ~ ( c2_1 @ a387 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a388 )
          & ~ ( c2_1 @ a388 )
          & ~ ( c3_1 @ a388 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a395 )
          & ~ ( c0_1 @ a395 )
          & ~ ( c2_1 @ a395 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a397 )
          & ( c2_1 @ a397 )
          & ~ ( c0_1 @ a397 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a398 )
          & ( c3_1 @ a398 )
          & ~ ( c2_1 @ a398 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a399 )
          & ~ ( c0_1 @ a399 )
          & ~ ( c3_1 @ a399 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a417 )
          & ~ ( c1_1 @ a417 )
          & ~ ( c3_1 @ a417 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a418 )
          & ~ ( c2_1 @ a418 )
          & ~ ( c3_1 @ a418 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c2_1 @ a446 )
          & ( c3_1 @ a446 )
          & ~ ( c0_1 @ a446 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a365 )
          & ( c2_1 @ a365 )
          & ( c3_1 @ a365 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a372 )
          & ( c1_1 @ a372 )
          & ( c2_1 @ a372 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a373 )
          & ( c1_1 @ a373 )
          & ( c3_1 @ a373 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a410 )
          & ( c2_1 @ a410 )
          & ( c3_1 @ a410 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c2_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X2 )
              | ~ ( c0_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) ) )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | hskp0 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ( c3_1 @ X6 )
              | ~ ( c0_1 @ X6 ) ) )
        | hskp1 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp2 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c2_1 @ X9 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ( c2_1 @ X10 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c2_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp7 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X14 )
              | ( c2_1 @ X14 )
              | ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ( c2_1 @ X17 )
              | ~ ( c0_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | hskp6 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | hskp8 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) )
        | hskp9 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X26 )
              | ~ ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | hskp28 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp10 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c1_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | hskp8
        | hskp11 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ( c3_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | hskp12 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X33 )
              | ~ ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp13 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | hskp29
        | hskp30 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | hskp1
        | hskp14 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp15 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | hskp5 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) ) )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X49 )
              | ~ ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp4 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp16 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp17 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp2
        | hskp18 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c2_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | hskp11 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c1_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c0_1 @ X57 ) ) )
        | hskp3 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c1_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | hskp28 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ( c3_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | hskp28
        | hskp19 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c3_1 @ X65 ) ) )
        | hskp20 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) ) )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp17 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp2
        | hskp15 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X72 )
              | ~ ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c1_1 @ X73 ) ) )
        | hskp10 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X75 )
              | ~ ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp16 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp0 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp21
        | hskp4 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c2_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp22 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp23 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp24
        | hskp6 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp9
        | hskp19 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp16 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | hskp29
        | hskp8 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp3
        | hskp19 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) ) )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) ) )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c2_1 @ X94 ) ) )
        | hskp12
        | hskp8 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 ) ) )
        | hskp31 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp30
        | hskp23 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp24
        | hskp19 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp31 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 ) ) )
        | hskp2
        | hskp25 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c0_1 @ X102 ) ) )
        | hskp26 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ( c3_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) ) )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ( c3_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c2_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp28 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c1_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp2
        | hskp19 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | hskp29
        | hskp12 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c1_1 @ X110 ) ) )
        | hskp17
        | hskp16 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c2_1 @ X111 ) ) )
        | ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c2_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) )
        | hskp16 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X113 )
              | ~ ( c0_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X114 )
              | ~ ( c2_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | hskp6 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | hskp22
        | hskp20 )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c1_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | hskp30
        | hskp22 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X117 )
              | ~ ( c2_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) )
        | hskp29
        | hskp10 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c2_1 @ X118 )
              | ~ ( c3_1 @ X118 ) ) )
        | hskp31
        | hskp18 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X119 )
              | ~ ( c2_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp24
        | hskp10 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp11 )
      & ( hskp29
        | hskp13
        | hskp15 )
      & ( hskp17
        | hskp1
        | hskp11 )
      & ( hskp13
        | hskp27
        | hskp4 )
      & ( hskp15
        | hskp11
        | hskp16 )
      & ( hskp25
        | hskp8
        | hskp11 )
      & ( hskp21
        | hskp18
        | hskp6 )
      & ( hskp24
        | hskp11
        | hskp4 )
      & ( hskp4
        | hskp6 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a353 )
        & ( c1_1 @ a353 )
        & ~ ( c2_1 @ a353 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a355 )
        & ( c3_1 @ a355 )
        & ~ ( c1_1 @ a355 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a356 )
        & ( c2_1 @ a356 )
        & ~ ( c1_1 @ a356 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a357 )
        & ( c3_1 @ a357 )
        & ~ ( c0_1 @ a357 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c2_1 @ a358 )
        & ~ ( c0_1 @ a358 )
        & ~ ( c3_1 @ a358 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a359 )
        & ~ ( c1_1 @ a359 )
        & ~ ( c3_1 @ a359 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c1_1 @ a360 )
        & ~ ( c2_1 @ a360 )
        & ~ ( c3_1 @ a360 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a361 )
        & ~ ( c1_1 @ a361 )
        & ~ ( c2_1 @ a361 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a363 )
        & ( c2_1 @ a363 )
        & ~ ( c3_1 @ a363 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a364 )
        & ~ ( c0_1 @ a364 )
        & ~ ( c1_1 @ a364 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a366 )
        & ~ ( c2_1 @ a366 )
        & ~ ( c3_1 @ a366 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a368 )
        & ( c3_1 @ a368 )
        & ~ ( c1_1 @ a368 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a369 )
        & ( c3_1 @ a369 )
        & ~ ( c2_1 @ a369 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a370 )
        & ( c2_1 @ a370 )
        & ~ ( c3_1 @ a370 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a375 )
        & ~ ( c0_1 @ a375 )
        & ~ ( c1_1 @ a375 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a376 )
        & ~ ( c1_1 @ a376 )
        & ~ ( c2_1 @ a376 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a379 )
        & ~ ( c1_1 @ a379 )
        & ~ ( c3_1 @ a379 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a380 )
        & ( c1_1 @ a380 )
        & ~ ( c3_1 @ a380 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a382 )
        & ~ ( c0_1 @ a382 )
        & ~ ( c2_1 @ a382 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a387 )
        & ~ ( c1_1 @ a387 )
        & ~ ( c2_1 @ a387 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a388 )
        & ~ ( c2_1 @ a388 )
        & ~ ( c3_1 @ a388 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a395 )
        & ~ ( c0_1 @ a395 )
        & ~ ( c2_1 @ a395 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a397 )
        & ( c2_1 @ a397 )
        & ~ ( c0_1 @ a397 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a398 )
        & ( c3_1 @ a398 )
        & ~ ( c2_1 @ a398 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a399 )
        & ~ ( c0_1 @ a399 )
        & ~ ( c3_1 @ a399 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a417 )
        & ~ ( c1_1 @ a417 )
        & ~ ( c3_1 @ a417 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a418 )
        & ~ ( c2_1 @ a418 )
        & ~ ( c3_1 @ a418 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c2_1 @ a446 )
        & ( c3_1 @ a446 )
        & ~ ( c0_1 @ a446 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a365 )
        & ( c2_1 @ a365 )
        & ( c3_1 @ a365 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a372 )
        & ( c1_1 @ a372 )
        & ( c2_1 @ a372 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a373 )
        & ( c1_1 @ a373 )
        & ( c3_1 @ a373 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a410 )
        & ( c2_1 @ a410 )
        & ( c3_1 @ a410 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c2_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X2 )
            | ~ ( c0_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) ) )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | hskp0 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ( c3_1 @ X6 )
            | ~ ( c0_1 @ X6 ) ) )
      | hskp1 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp2 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c2_1 @ X9 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ( c2_1 @ X10 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c2_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp7 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X14 )
            | ( c2_1 @ X14 )
            | ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ( c2_1 @ X17 )
            | ~ ( c0_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | hskp6 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | hskp8 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) )
      | hskp9 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X26 )
            | ~ ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | hskp28 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp10 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c1_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | hskp8
      | hskp11 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ( c3_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | hskp12 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X33 )
            | ~ ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp13 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | hskp29
      | hskp30 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | hskp1
      | hskp14 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp15 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | hskp5 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) ) )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X49 )
            | ~ ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp4 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp16 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp17 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp2
      | hskp18 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c2_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | hskp11 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c1_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c0_1 @ X57 ) ) )
      | hskp3 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c1_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | hskp28 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ( c3_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | hskp28
      | hskp19 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c3_1 @ X65 ) ) )
      | hskp20 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) ) )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp17 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp2
      | hskp15 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X72 )
            | ~ ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c1_1 @ X73 ) ) )
      | hskp10 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X75 )
            | ~ ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp16 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp0 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp21
      | hskp4 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c2_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp22 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp23 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp24
      | hskp6 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp9
      | hskp19 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp16 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | hskp29
      | hskp8 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp3
      | hskp19 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) ) )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) ) )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c2_1 @ X94 ) ) )
      | hskp12
      | hskp8 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 ) ) )
      | hskp31 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp30
      | hskp23 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp24
      | hskp19 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp31 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 ) ) )
      | hskp2
      | hskp25 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c0_1 @ X102 ) ) )
      | hskp26 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ( c3_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) ) )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ( c3_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c2_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp28 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c1_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp2
      | hskp19 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | hskp29
      | hskp12 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c1_1 @ X110 ) ) )
      | hskp17
      | hskp16 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c2_1 @ X111 ) ) )
      | ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c2_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) )
      | hskp16 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X113 )
            | ~ ( c0_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X114 )
            | ~ ( c2_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | hskp6 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | hskp22
      | hskp20 )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c1_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | hskp30
      | hskp22 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X117 )
            | ~ ( c2_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) )
      | hskp29
      | hskp10 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c2_1 @ X118 )
            | ~ ( c3_1 @ X118 ) ) )
      | hskp31
      | hskp18 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X119 )
            | ~ ( c2_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp24
      | hskp10 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp11 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( hskp13
      | hskp27
      | hskp4 )
    & ( hskp15
      | hskp11
      | hskp16 )
    & ( hskp25
      | hskp8
      | hskp11 )
    & ( hskp21
      | hskp18
      | hskp6 )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( hskp4
      | hskp6 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a376 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a376 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl7,plain,
    ( hskp29
    | hskp13
    | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( hskp15
    | hskp13
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp17
    | ( c1_1 @ a380 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( c1_1 @ a380 )
   <= ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl20,plain,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | ( c2_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | ( c2_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1219,plain,
    ( ( ( c2_1 @ a380 )
      | ~ ( c0_1 @ a380 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl280]) ).

thf('2',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a380 )
    | ~ ( c0_1 @ a380 )
    | ~ ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1219]) ).

thf('3',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a375 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ~ ( c0_1 @ a375 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl65,plain,
    ! [X94: $i,X95: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X95 )
      | ~ ( c2_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl456,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a379 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ~ ( c1_1 @ a379 )
   <= ~ ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl2051,plain,
    ( ( ~ ( c2_1 @ a379 )
      | ( c0_1 @ a379 ) )
   <= ( ~ ( c1_1 @ a379 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl639]) ).

thf('5',plain,
    ( ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) )
    | ( c0_1 @ a379 )
    | ( c1_1 @ a379 )
    | ~ ( c2_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl2051]) ).

thf(zip_derived_cl27,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl639_001,plain,
    ( ~ ( c1_1 @ a379 )
   <= ~ ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl960,plain,
    ( ( ~ ( c2_1 @ a379 )
      | ~ ( c0_1 @ a379 ) )
   <= ( ~ ( c1_1 @ a379 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl639]) ).

thf('6',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c0_1 @ a379 )
    | ( c1_1 @ a379 )
    | ~ ( c2_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl960]) ).

thf(zip_derived_cl26,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a376 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( c1_1 @ a376 )
   <= ~ ( c1_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl912,plain,
    ( ( ~ ( c3_1 @ a376 )
      | ~ ( c0_1 @ a376 ) )
   <= ( ~ ( c1_1 @ a376 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl647]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a376 )
    | ( c1_1 @ a376 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c0_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl912]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp15
    | ( c0_1 @ a376 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c0_1 @ a376 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('9',plain,
    ( ~ ( c1_1 @ a376 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl4,plain,
    ( hskp15
    | hskp11
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( hskp15
    | hskp11
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | ( c3_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | hskp16
    | ~ ndr1_0
    | ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp3
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl647_002,plain,
    ( ~ ( c1_1 @ a376 )
   <= ~ ( c1_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1152,plain,
    ( ( ~ ( c0_1 @ a376 )
      | ( c3_1 @ a376 ) )
   <= ( ~ ( c1_1 @ a376 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl647]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a376 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c3_1 @ a376 )
    | ( c1_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl1152]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp22
    | ( c1_1 @ a397 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ( c1_1 @ a397 )
   <= ( c1_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i,X31: $i,X32: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | ( c1_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ( c3_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ( c2_1 @ X32 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl315,plain,
    ( ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1183,plain,
    ( ( ( c3_1 @ a397 )
      | ~ ( c2_1 @ a397 ) )
   <= ( ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
      & ( c1_1 @ a397 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl315]) ).

thf('13',plain,
    ( ~ ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
    | ~ ( c1_1 @ a397 )
    | ~ ( c2_1 @ a397 )
    | ( c3_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl1183]) ).

thf(zip_derived_cl50,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp2
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl655,plain,
    ( ~ ( c0_1 @ a375 )
   <= ~ ( c0_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1847,plain,
    ( ( ~ ( c3_1 @ a375 )
      | ( c2_1 @ a375 ) )
   <= ( ~ ( c0_1 @ a375 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl655]) ).

thf('14',plain,
    ( ~ ( c3_1 @ a375 )
    | ( c0_1 @ a375 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl1847]) ).

thf(zip_derived_cl61,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ( c3_1 @ X87 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
    | hskp13
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp13
    | ( c0_1 @ a370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ( c0_1 @ a370 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp13
    | ( c2_1 @ a370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ( c2_1 @ a370 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ~ ( c3_1 @ a370 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl661,plain,
    ( ( c0_1 @ a370 )
   <= ( c0_1 @ a370 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl14,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1241,plain,
    ( ( ( c3_1 @ a370 )
      | ~ ( c2_1 @ a370 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a370 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl255]) ).

thf('19',plain,
    ( ~ ( c0_1 @ a370 )
    | ~ ( c2_1 @ a370 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a370 ) ),
    inference(split,[status(esa)],[zip_derived_cl1241]) ).

thf(zip_derived_cl37,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp21
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a357 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl745,plain,
    ( ~ ( c0_1 @ a357 )
   <= ~ ( c0_1 @ a357 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1523,plain,
    ( ( ~ ( c3_1 @ a357 )
      | ~ ( c2_1 @ a357 ) )
   <= ( ~ ( c0_1 @ a357 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl745]) ).

thf('20',plain,
    ( ~ ( c2_1 @ a357 )
    | ~ ( c3_1 @ a357 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ( c0_1 @ a357 ) ),
    inference(split,[status(esa)],[zip_derived_cl1523]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp30
    | ( c1_1 @ a373 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( c1_1 @ a373 )
   <= ( c1_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1043,plain,
    ( ( ~ ( c2_1 @ a373 )
      | ~ ( c3_1 @ a373 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a373 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl231]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a373 )
    | ~ ( c1_1 @ a373 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl1043]) ).

thf(zip_derived_cl15,plain,
    ! [X8: $i,X9: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | hskp16
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl49,plain,
    ! [X65: $i,X66: $i] :
      ( ( c0_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | ( c1_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c0_1 @ X66 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
    | hskp11
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp23
    | ( c1_1 @ a398 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( c1_1 @ a398 )
   <= ( c1_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl18,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp2
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1124,plain,
    ( ( ( c2_1 @ a398 )
      | ~ ( c3_1 @ a398 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a398 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl270]) ).

thf('24',plain,
    ( ~ ( c1_1 @ a398 )
    | ~ ( c3_1 @ a398 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1124]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp0
    | ( c1_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl767,plain,
    ( ( c1_1 @ a353 )
   <= ( c1_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl270_003,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1358,plain,
    ( ( ( c2_1 @ a353 )
      | ~ ( c3_1 @ a353 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl270]) ).

thf('25',plain,
    ( ~ ( c3_1 @ a353 )
    | ~ ( c1_1 @ a353 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1358]) ).

thf(zip_derived_cl76,plain,
    ! [X116: $i,X117: $i] :
      ( ( c0_1 @ X116 )
      | ( c1_1 @ X116 )
      | ( c2_1 @ X116 )
      | ~ ndr1_0
      | ( c0_1 @ X117 )
      | ~ ( c1_1 @ X117 )
      | ~ ( c2_1 @ X117 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( hskp0
    | ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ~ ndr1_0
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ~ ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c2_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ndr1_0
      | hskp2
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp2
    | hskp25
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp25
    | ( c0_1 @ a417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ( c0_1 @ a417 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a417 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a417 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a417 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl317_004,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl567,plain,
    ( ~ ( c1_1 @ a417 )
   <= ~ ( c1_1 @ a417 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1155,plain,
    ( ( ~ ( c0_1 @ a417 )
      | ( c3_1 @ a417 ) )
   <= ( ~ ( c1_1 @ a417 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl567]) ).

thf('31',plain,
    ( ( c1_1 @ a417 )
    | ( c3_1 @ a417 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ( c0_1 @ a417 ) ),
    inference(split,[status(esa)],[zip_derived_cl1155]) ).

thf(zip_derived_cl589_005,plain,
    ( ( c1_1 @ a397 )
   <= ( c1_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl56,plain,
    ! [X78: $i,X79: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl419,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ~ ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ~ ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1436,plain,
    ( ( ( c0_1 @ a397 )
      | ~ ( c2_1 @ a397 ) )
   <= ( ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ~ ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) )
      & ( c1_1 @ a397 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl419]) ).

thf('32',plain,
    ( ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ~ ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) )
    | ~ ( c1_1 @ a397 )
    | ~ ( c2_1 @ a397 )
    | ( c0_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl1436]) ).

thf(zip_derived_cl589_006,plain,
    ( ( c1_1 @ a397 )
   <= ( c1_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl231_007,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1176,plain,
    ( ( ~ ( c2_1 @ a397 )
      | ~ ( c3_1 @ a397 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a397 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl231]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a397 )
    | ~ ( c1_1 @ a397 )
    | ~ ( c2_1 @ a397 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1176]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp30
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp22
    | hskp30
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl63,plain,
    ! [X91: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp8
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl447,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a361 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ~ ( c1_1 @ a361 )
   <= ~ ( c1_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1928,plain,
    ( ( ~ ( c3_1 @ a361 )
      | ( c0_1 @ a361 ) )
   <= ( ~ ( c1_1 @ a361 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl711]) ).

thf('35',plain,
    ( ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ( c0_1 @ a361 )
    | ( c1_1 @ a361 )
    | ~ ( c3_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl1928]) ).

thf(zip_derived_cl58,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | hskp29
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
    | hskp30
    | ~ ndr1_0
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl581_008,plain,
    ( ( c1_1 @ a398 )
   <= ( c1_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl57,plain,
    ! [X80: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | hskp1
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1666,plain,
    ( ( ( c0_1 @ a398 )
      | ( c2_1 @ a398 ) )
   <= ( ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
      & ( c1_1 @ a398 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl423]) ).

thf('37',plain,
    ( ~ ( c1_1 @ a398 )
    | ( c2_1 @ a398 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
    | ( c0_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1666]) ).

thf(zip_derived_cl46,plain,
    ! [X58: $i,X59: $i,X60: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c3_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl19,plain,
    ! [X13: $i,X14: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp28
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl53,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( hskp4
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl33,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp9
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl711_009,plain,
    ( ~ ( c1_1 @ a361 )
   <= ~ ( c1_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1290,plain,
    ( ( ~ ( c3_1 @ a361 )
      | ( c2_1 @ a361 ) )
   <= ( ~ ( c1_1 @ a361 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl711]) ).

thf('41',plain,
    ( ~ ( c3_1 @ a361 )
    | ( c1_1 @ a361 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c2_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl1290]) ).

thf(zip_derived_cl581_010,plain,
    ( ( c1_1 @ a398 )
   <= ( c1_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl41,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp2
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl360,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1393,plain,
    ( ( ( c0_1 @ a398 )
      | ~ ( c3_1 @ a398 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ( c1_1 @ a398 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl360]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a398 )
    | ~ ( c3_1 @ a398 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ( c0_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp17
    | ( c0_1 @ a380 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl629,plain,
    ( ( c0_1 @ a380 )
   <= ( c0_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl255_011,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1211,plain,
    ( ( ( c3_1 @ a380 )
      | ~ ( c2_1 @ a380 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl255]) ).

thf('43',plain,
    ( ~ ( c2_1 @ a380 )
    | ~ ( c0_1 @ a380 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl78,plain,
    ! [X121: $i,X122: $i] :
      ( ( c0_1 @ X121 )
      | ( c1_1 @ X121 )
      | ( c2_1 @ X121 )
      | ~ ndr1_0
      | ( c0_1 @ X122 )
      | ( c1_1 @ X122 )
      | ~ ( c3_1 @ X122 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( hskp0
    | ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ~ ndr1_0
    | ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl447_012,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl360_013,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1920,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl360]) ).

thf(zip_derived_cl1951,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1920]) ).

thf(zip_derived_cl302_014,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl246,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl898,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl246]) ).

thf(zip_derived_cl929,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl898]) ).

thf(zip_derived_cl3086,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1951,zip_derived_cl929]) ).

thf(zip_derived_cl3130,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3086]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp7
    | ( c3_1 @ a361 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl709,plain,
    ( ( c3_1 @ a361 )
   <= ( c3_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('45',plain,
    ( ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ~ ( c3_1 @ a361 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3130,zip_derived_cl709]) ).

thf(zip_derived_cl72,plain,
    ! [X110: $i] :
      ( ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ( c2_1 @ X110 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
   <= ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl711_015,plain,
    ( ~ ( c1_1 @ a361 )
   <= ~ ( c1_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl2181,plain,
    ( ( ( c2_1 @ a361 )
      | ( c0_1 @ a361 ) )
   <= ( ~ ( c1_1 @ a361 )
      & ! [X110: $i] :
          ( ( c0_1 @ X110 )
          | ( c1_1 @ X110 )
          | ( c2_1 @ X110 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl711]) ).

thf('46',plain,
    ( ( c0_1 @ a361 )
    | ( c1_1 @ a361 )
    | ~ ! [X110: $i] :
          ( ( c0_1 @ X110 )
          | ( c1_1 @ X110 )
          | ( c2_1 @ X110 ) )
    | ( c2_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl2181]) ).

thf(zip_derived_cl302_016,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl711_017,plain,
    ( ~ ( c1_1 @ a361 )
   <= ~ ( c1_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl908,plain,
    ( ( ~ ( c3_1 @ a361 )
      | ~ ( c0_1 @ a361 ) )
   <= ( ~ ( c1_1 @ a361 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl711]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a361 )
    | ~ ( c3_1 @ a361 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a361 ) ),
    inference(split,[status(esa)],[zip_derived_cl908]) ).

thf('48',plain,
    ( ( c3_1 @ a361 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a361 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a361 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c2_1 @ a361 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl71,plain,
    ! [X108: $i,X109: $i] :
      ( ( c0_1 @ X108 )
      | ( c1_1 @ X108 )
      | ( c3_1 @ X108 )
      | ~ ndr1_0
      | ( c0_1 @ X109 )
      | ( c2_1 @ X109 )
      | ~ ( c3_1 @ X109 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
    | hskp7
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl69,plain,
    ! [X102: $i,X103: $i,X104: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ( c3_1 @ X102 )
      | ~ ndr1_0
      | ( c1_1 @ X103 )
      | ( c2_1 @ X103 )
      | ~ ( c0_1 @ X103 )
      | ~ ndr1_0
      | ( c2_1 @ X104 )
      | ( c3_1 @ X104 )
      | ~ ( c1_1 @ X104 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl727,plain,
    ( ~ ( c1_1 @ a359 )
   <= ~ ( c1_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c3_1 @ a359 )
      | ( c0_1 @ a359 ) )
   <= ( ~ ( c1_1 @ a359 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl727]) ).

thf('52',plain,
    ( ( c0_1 @ a359 )
    | ( c1_1 @ a359 )
    | ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) )
    | ( c3_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ~ ( c0_1 @ a359 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('54',plain,
    ( ~ ( c1_1 @ a359 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a359 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl55,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( hskp5
    | ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) )
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp29
    | ( c1_1 @ a372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( c1_1 @ a372 )
   <= ( c1_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl315_018,plain,
    ( ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1094,plain,
    ( ( ( c3_1 @ a372 )
      | ~ ( c2_1 @ a372 ) )
   <= ( ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
      & ( c1_1 @ a372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl315]) ).

thf('57',plain,
    ( ( c3_1 @ a372 )
    | ~ ( c2_1 @ a372 )
    | ~ ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
    | ~ ( c1_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1094]) ).

thf(zip_derived_cl535_019,plain,
    ( ( c1_1 @ a372 )
   <= ( c1_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl246_020,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1054,plain,
    ( ( ~ ( c0_1 @ a372 )
      | ~ ( c3_1 @ a372 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl246]) ).

thf('58',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c1_1 @ a372 )
    | ~ ( c3_1 @ a372 )
    | ~ ( c0_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1054]) ).

thf(zip_derived_cl43,plain,
    ! [X52: $i,X53: $i,X54: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c1_1 @ X53 )
      | ( c2_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ( c3_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl767_021,plain,
    ( ( c1_1 @ a353 )
   <= ( c1_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl246_022,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1355,plain,
    ( ( ~ ( c0_1 @ a353 )
      | ~ ( c3_1 @ a353 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl246]) ).

thf('60',plain,
    ( ~ ( c3_1 @ a353 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c1_1 @ a353 )
    | ~ ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf('61',plain,
    ( ( c1_1 @ a353 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a369 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c2_1 @ a369 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl77,plain,
    ! [X118: $i,X119: $i,X120: $i] :
      ( ( c0_1 @ X118 )
      | ( c1_1 @ X118 )
      | ( c2_1 @ X118 )
      | ~ ndr1_0
      | ( c0_1 @ X119 )
      | ( c2_1 @ X119 )
      | ( c3_1 @ X119 )
      | ~ ndr1_0
      | ( c2_1 @ X120 )
      | ~ ( c0_1 @ X120 )
      | ~ ( c3_1 @ X120 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
    | ~ ndr1_0
    | ! [X120: $i] :
        ( ( c2_1 @ X120 )
        | ~ ( c0_1 @ X120 )
        | ~ ( c3_1 @ X120 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp12
    | ( c0_1 @ a369 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl669,plain,
    ( ( c0_1 @ a369 )
   <= ( c0_1 @ a369 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl503,plain,
    ( ! [X120: $i] :
        ( ( c2_1 @ X120 )
        | ~ ( c0_1 @ X120 )
        | ~ ( c3_1 @ X120 ) )
   <= ! [X120: $i] :
        ( ( c2_1 @ X120 )
        | ~ ( c0_1 @ X120 )
        | ~ ( c3_1 @ X120 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl1574,plain,
    ( ( ( c2_1 @ a369 )
      | ~ ( c3_1 @ a369 ) )
   <= ( ! [X120: $i] :
          ( ( c2_1 @ X120 )
          | ~ ( c0_1 @ X120 )
          | ~ ( c3_1 @ X120 ) )
      & ( c0_1 @ a369 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl503]) ).

thf('64',plain,
    ( ~ ! [X120: $i] :
          ( ( c2_1 @ X120 )
          | ~ ( c0_1 @ X120 )
          | ~ ( c3_1 @ X120 ) )
    | ~ ( c0_1 @ a369 )
    | ~ ( c3_1 @ a369 )
    | ( c2_1 @ a369 ) ),
    inference(split,[status(esa)],[zip_derived_cl1574]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp21
    | ( c1_1 @ a395 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( c1_1 @ a395 )
   <= ( c1_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl423_023,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1664,plain,
    ( ( ( c0_1 @ a395 )
      | ( c2_1 @ a395 ) )
   <= ( ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
      & ( c1_1 @ a395 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl423]) ).

thf('65',plain,
    ( ~ ( c1_1 @ a395 )
    | ( c0_1 @ a395 )
    | ~ ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c2_1 @ X80 )
          | ~ ( c1_1 @ X80 ) )
    | ( c2_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl1664]) ).

thf('66',plain,
    ( hskp14
    | ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c2_1 @ X80 )
        | ~ ( c1_1 @ X80 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl329_024,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( c1_1 @ a355 )
   <= ~ ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1286,plain,
    ( ( ~ ( c3_1 @ a355 )
      | ( c2_1 @ a355 ) )
   <= ( ~ ( c1_1 @ a355 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl761]) ).

thf(zip_derived_cl3495,plain,
    ( ( c2_1 @ a355 )
   <= ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl1286]) ).

thf(zip_derived_cl24,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp24
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl231_025,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl836,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl231]) ).

thf(zip_derived_cl867,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl836]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp1
    | ( c3_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl759,plain,
    ( ( c3_1 @ a355 )
   <= ( c3_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl2237,plain,
    ( ~ ( c2_1 @ a355 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a355 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl867,zip_derived_cl759]) ).

thf('67',plain,
    ( ~ ( c2_1 @ a355 )
    | ~ ( c3_1 @ a355 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3495,zip_derived_cl2237]) ).

thf(zip_derived_cl293_026,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a375 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c1_1 @ a375 )
   <= ~ ( c1_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl850,plain,
    ( ( ~ ( c3_1 @ a375 )
      | ~ ( c2_1 @ a375 ) )
   <= ( ~ ( c1_1 @ a375 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl657]) ).

thf('68',plain,
    ( ~ ( c2_1 @ a375 )
    | ( c1_1 @ a375 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl850]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp14
    | ( c3_1 @ a375 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ( c3_1 @ a375 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('70',plain,
    ( ~ ( c1_1 @ a375 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl329_027,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl657_028,plain,
    ( ~ ( c1_1 @ a375 )
   <= ~ ( c1_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1293,plain,
    ( ( ~ ( c3_1 @ a375 )
      | ( c2_1 @ a375 ) )
   <= ( ~ ( c1_1 @ a375 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl657]) ).

thf('71',plain,
    ( ~ ( c3_1 @ a375 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c1_1 @ a375 )
    | ( c2_1 @ a375 ) ),
    inference(split,[status(esa)],[zip_derived_cl1293]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp0
    | ( c0_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c0_1 @ a353 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp2
    | ( c0_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c0_1 @ a356 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp2
    | ( c2_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ hskp2
    | ( c2_1 @ a356 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ~ ( c1_1 @ a356 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl305_029,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl753,plain,
    ( ~ ( c1_1 @ a356 )
   <= ~ ( c1_1 @ a356 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl952,plain,
    ( ( ~ ( c2_1 @ a356 )
      | ~ ( c0_1 @ a356 ) )
   <= ( ~ ( c1_1 @ a356 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl753]) ).

thf('76',plain,
    ( ~ ( c0_1 @ a356 )
    | ( c1_1 @ a356 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a356 ) ),
    inference(split,[status(esa)],[zip_derived_cl952]) ).

thf(zip_derived_cl47,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | ( c1_1 @ X62 )
      | ~ ( c0_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | ( c1_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c0_1 @ X64 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl589_030,plain,
    ( ( c1_1 @ a397 )
   <= ( c1_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl385,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1620,plain,
    ( ( ( c0_1 @ a397 )
      | ( c3_1 @ a397 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a397 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl385]) ).

thf('79',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ~ ( c1_1 @ a397 )
    | ( c0_1 @ a397 )
    | ( c3_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl1620]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp22
    | ( c2_1 @ a397 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ( c2_1 @ a397 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl345_031,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a397 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c0_1 @ a397 )
   <= ~ ( c0_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1537,plain,
    ( ( ~ ( c3_1 @ a397 )
      | ~ ( c2_1 @ a397 ) )
   <= ( ~ ( c0_1 @ a397 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl593]) ).

thf('81',plain,
    ( ~ ( c3_1 @ a397 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c2_1 @ a397 )
    | ( c0_1 @ a397 ) ),
    inference(split,[status(esa)],[zip_derived_cl1537]) ).

thf('82',plain,
    ( ( c1_1 @ a397 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('83',plain,
    ( ~ ( c0_1 @ a397 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl13,plain,
    ! [X5: $i] :
      ( ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp22
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp22
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl74,plain,
    ! [X112: $i,X113: $i] :
      ( ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ( c2_1 @ X112 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X113 )
      | ~ ( c1_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp2
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl597_032,plain,
    ( ( c1_1 @ a395 )
   <= ( c1_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl275,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1189,plain,
    ( ( ( c2_1 @ a395 )
      | ( c3_1 @ a395 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a395 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl275]) ).

thf('86',plain,
    ( ( c3_1 @ a395 )
    | ( c2_1 @ a395 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl1189]) ).

thf(zip_derived_cl440,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a395 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ~ ( c0_1 @ a395 )
   <= ~ ( c0_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1987,plain,
    ( ( ( c3_1 @ a395 )
      | ( c2_1 @ a395 ) )
   <= ( ~ ( c0_1 @ a395 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl599]) ).

thf('87',plain,
    ( ( c3_1 @ a395 )
    | ( c0_1 @ a395 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) )
    | ( c2_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl1987]) ).

thf(zip_derived_cl396_033,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl599_034,plain,
    ( ~ ( c0_1 @ a395 )
   <= ~ ( c0_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1854,plain,
    ( ( ~ ( c3_1 @ a395 )
      | ( c2_1 @ a395 ) )
   <= ( ~ ( c0_1 @ a395 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl599]) ).

thf('88',plain,
    ( ~ ( c3_1 @ a395 )
    | ( c0_1 @ a395 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a395 ) ),
    inference(split,[status(esa)],[zip_derived_cl1854]) ).

thf('89',plain,
    ( ( c1_1 @ a395 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a395 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a395 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c2_1 @ a395 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl62,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ( c1_1 @ X90 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( hskp12
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp29
    | ( c0_1 @ a372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533,plain,
    ( ( c0_1 @ a372 )
   <= ( c0_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl255_035,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1051,plain,
    ( ( ( c3_1 @ a372 )
      | ~ ( c2_1 @ a372 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl255]) ).

thf('93',plain,
    ( ( c3_1 @ a372 )
    | ~ ( c0_1 @ a372 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1051]) ).

thf(zip_derived_cl533_036,plain,
    ( ( c0_1 @ a372 )
   <= ( c0_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp31
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1050,plain,
    ( ( ~ ( c2_1 @ a372 )
      | ~ ( c3_1 @ a372 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl238]) ).

thf('94',plain,
    ( ~ ( c3_1 @ a372 )
    | ~ ( c0_1 @ a372 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1050]) ).

thf(zip_derived_cl767_037,plain,
    ( ( c1_1 @ a353 )
   <= ( c1_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | hskp17
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1357,plain,
    ( ( ( c3_1 @ a353 )
      | ~ ( c0_1 @ a353 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c1_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl262]) ).

thf(zip_derived_cl3628,plain,
    ( ( c3_1 @ a353 )
   <= ( c3_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1357]) ).

thf(zip_derived_cl929_038,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl898]) ).

thf(zip_derived_cl765,plain,
    ( ( c0_1 @ a353 )
   <= ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl2275,plain,
    ( ~ ( c3_1 @ a353 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c0_1 @ a353 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl929,zip_derived_cl765]) ).

thf('95',plain,
    ( ~ ( c3_1 @ a353 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c0_1 @ a353 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3628,zip_derived_cl2275]) ).

thf(zip_derived_cl765_039,plain,
    ( ( c0_1 @ a353 )
   <= ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl238_040,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1351,plain,
    ( ( ~ ( c2_1 @ a353 )
      | ~ ( c3_1 @ a353 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl765,zip_derived_cl238]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a353 )
    | ~ ( c2_1 @ a353 )
    | ~ ( c0_1 @ a353 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1351]) ).

thf(zip_derived_cl2077,plain,
    ( ~ ( c0_1 @ a353 )
   <= ~ ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf(zip_derived_cl345_041,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl2078,plain,
    ( ( ~ ( c2_1 @ a353 )
      | ~ ( c3_1 @ a353 ) )
   <= ( ~ ( c0_1 @ a353 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2077,zip_derived_cl345]) ).

thf('97',plain,
    ( ( c0_1 @ a353 )
    | ~ ( c3_1 @ a353 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c2_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl2078]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ ( c2_1 @ a353 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl38,plain,
    ! [X44: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( hskp0
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl2077_042,plain,
    ( ~ ( c0_1 @ a353 )
   <= ~ ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf(zip_derived_cl396_043,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl2080,plain,
    ( ( ( c2_1 @ a353 )
      | ~ ( c3_1 @ a353 ) )
   <= ( ~ ( c0_1 @ a353 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2077,zip_derived_cl396]) ).

thf('100',plain,
    ( ( c0_1 @ a353 )
    | ~ ( c3_1 @ a353 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl2080]) ).

thf('101',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp31
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('102',plain,
    ( ( c0_1 @ a372 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('103',plain,
    ( ( c1_1 @ a372 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp29
    | ( c2_1 @ a372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c2_1 @ a372 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl535_044,plain,
    ( ( c1_1 @ a372 )
   <= ( c1_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl250,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1055,plain,
    ( ( ~ ( c0_1 @ a372 )
      | ~ ( c2_1 @ a372 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl250]) ).

thf('105',plain,
    ( ~ ( c0_1 @ a372 )
    | ~ ( c2_1 @ a372 )
    | ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1055]) ).

thf('106',plain,
    ( ( c0_1 @ a369 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp12
    | ( c3_1 @ a369 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c3_1 @ a369 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('108',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | hskp31
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i] :
      ( ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp29
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( hskp12
    | hskp29
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl929_045,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl898]) ).

thf(zip_derived_cl669_046,plain,
    ( ( c0_1 @ a369 )
   <= ( c0_1 @ a369 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl2278,plain,
    ( ~ ( c3_1 @ a369 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c0_1 @ a369 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl929,zip_derived_cl669]) ).

thf(zip_derived_cl671,plain,
    ( ( c3_1 @ a369 )
   <= ( c3_1 @ a369 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('110',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c0_1 @ a369 )
    | ~ ( c3_1 @ a369 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2278,zip_derived_cl671]) ).

thf(zip_derived_cl867_047,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl836]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp31
    | ( c3_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( c3_1 @ a410 )
   <= ( c3_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl2248,plain,
    ( ~ ( c2_1 @ a410 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a410 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl867,zip_derived_cl521]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp31
    | ( c2_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c2_1 @ a410 )
   <= ( c2_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('111',plain,
    ( ~ ( c3_1 @ a410 )
    | ~ ( c2_1 @ a410 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2248,zip_derived_cl519]) ).

thf(zip_derived_cl631_048,plain,
    ( ( c1_1 @ a380 )
   <= ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl262_049,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1216,plain,
    ( ( ( c3_1 @ a380 )
      | ~ ( c0_1 @ a380 ) )
   <= ( ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c1_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl262]) ).

thf('112',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a380 )
    | ( c3_1 @ a380 )
    | ~ ( c0_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1216]) ).

thf('113',plain,
    ( ~ ( c3_1 @ a355 )
    | ( c1_1 @ a355 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl1286]) ).

thf(zip_derived_cl293_050,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl761_051,plain,
    ( ~ ( c1_1 @ a355 )
   <= ~ ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl843,plain,
    ( ( ~ ( c3_1 @ a355 )
      | ~ ( c2_1 @ a355 ) )
   <= ( ~ ( c1_1 @ a355 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl761]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a355 )
    | ~ ( c3_1 @ a355 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl843]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp1
    | ( c0_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c0_1 @ a355 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl302_052,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl761_053,plain,
    ( ~ ( c1_1 @ a355 )
   <= ~ ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl904,plain,
    ( ( ~ ( c3_1 @ a355 )
      | ~ ( c0_1 @ a355 ) )
   <= ( ~ ( c1_1 @ a355 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl761]) ).

thf('116',plain,
    ( ~ ( c3_1 @ a355 )
    | ( c1_1 @ a355 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c0_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl904]) ).

thf('117',plain,
    ( ( c3_1 @ a355 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('118',plain,
    ( ~ ( c1_1 @ a355 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl25,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp30
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( hskp30
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl396_054,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl581_055,plain,
    ( ( c1_1 @ a398 )
   <= ( c1_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl246_056,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1121,plain,
    ( ( ~ ( c0_1 @ a398 )
      | ~ ( c3_1 @ a398 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a398 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl246]) ).

thf(zip_derived_cl1633,plain,
    ( ~ ( c0_1 @ a398 )
   <= ~ ( c0_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1121]) ).

thf(zip_derived_cl1856,plain,
    ( ( ~ ( c3_1 @ a398 )
      | ( c2_1 @ a398 ) )
   <= ( ~ ( c0_1 @ a398 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl1633]) ).

thf('120',plain,
    ( ( c0_1 @ a398 )
    | ~ ( c3_1 @ a398 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1856]) ).

thf('121',plain,
    ( ( c1_1 @ a398 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp23
    | ( c3_1 @ a398 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c3_1 @ a398 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a398 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a398 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf('124',plain,
    ( ~ ( c0_1 @ a398 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a398 )
    | ~ ( c1_1 @ a398 ) ),
    inference(split,[status(esa)],[zip_derived_cl1121]) ).

thf(zip_derived_cl51,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( hskp17
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl35,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | ( c1_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | ~ ndr1_0
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl527_057,plain,
    ( ( c1_1 @ a373 )
   <= ( c1_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl246_058,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1044,plain,
    ( ( ~ ( c0_1 @ a373 )
      | ~ ( c3_1 @ a373 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a373 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl246]) ).

thf('127',plain,
    ( ~ ( c0_1 @ a373 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a373 )
    | ~ ( c1_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl1044]) ).

thf(zip_derived_cl767_059,plain,
    ( ( c1_1 @ a353 )
   <= ( c1_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl275_060,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1359,plain,
    ( ( ( c2_1 @ a353 )
      | ( c3_1 @ a353 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl275]) ).

thf('128',plain,
    ( ( c3_1 @ a353 )
    | ( c2_1 @ a353 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1359]) ).

thf(zip_derived_cl70,plain,
    ! [X105: $i,X106: $i,X107: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ( c3_1 @ X105 )
      | ~ ndr1_0
      | ( c1_1 @ X106 )
      | ( c2_1 @ X106 )
      | ( c3_1 @ X106 )
      | ~ ndr1_0
      | ( c2_1 @ X107 )
      | ~ ( c1_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl44,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | ( c1_1 @ X56 )
      | ( c2_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a387 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( c1_1 @ a387 )
   <= ~ ( c1_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1708,plain,
    ( ( ( c3_1 @ a387 )
      | ( c2_1 @ a387 ) )
   <= ( ~ ( c1_1 @ a387 )
      & ! [X56: $i] :
          ( ( c1_1 @ X56 )
          | ( c2_1 @ X56 )
          | ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl615]) ).

thf('130',plain,
    ( ~ ! [X56: $i] :
          ( ( c1_1 @ X56 )
          | ( c2_1 @ X56 )
          | ( c3_1 @ X56 ) )
    | ( c3_1 @ a387 )
    | ( c2_1 @ a387 )
    | ( c1_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl1708]) ).

thf(zip_derived_cl765_061,plain,
    ( ( c0_1 @ a353 )
   <= ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl21,plain,
    ! [X18: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1353,plain,
    ( ( ( c2_1 @ a353 )
      | ( c3_1 @ a353 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c0_1 @ a353 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl765,zip_derived_cl282]) ).

thf('131',plain,
    ( ( c3_1 @ a353 )
    | ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ~ ( c0_1 @ a353 )
    | ( c2_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1353]) ).

thf('132',plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) )
    | ~ ndr1_0
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl372_062,plain,
    ( ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c1_1 @ X56 )
        | ( c2_1 @ X56 )
        | ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a360 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl717,plain,
    ( ~ ( c1_1 @ a360 )
   <= ~ ( c1_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl1701,plain,
    ( ( ( c3_1 @ a360 )
      | ( c2_1 @ a360 ) )
   <= ( ~ ( c1_1 @ a360 )
      & ! [X56: $i] :
          ( ( c1_1 @ X56 )
          | ( c2_1 @ X56 )
          | ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl717]) ).

thf('133',plain,
    ( ~ ! [X56: $i] :
          ( ( c1_1 @ X56 )
          | ( c2_1 @ X56 )
          | ( c3_1 @ X56 ) )
    | ( c1_1 @ a360 )
    | ( c2_1 @ a360 )
    | ( c3_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl1701]) ).

thf('134',plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl36,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl717_063,plain,
    ( ~ ( c1_1 @ a360 )
   <= ~ ( c1_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl1475,plain,
    ( ( ~ ( c0_1 @ a360 )
      | ( c2_1 @ a360 ) )
   <= ( ~ ( c1_1 @ a360 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl717]) ).

thf('135',plain,
    ( ~ ( c0_1 @ a360 )
    | ( c1_1 @ a360 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ( c2_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl1475]) ).

thf(zip_derived_cl68,plain,
    ! [X100: $i,X101: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ndr1_0
      | ( c0_1 @ X101 )
      | ~ ( c2_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( hskp6
    | ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl79,plain,
    ! [X123: $i,X124: $i,X125: $i] :
      ( ( c0_1 @ X123 )
      | ( c1_1 @ X123 )
      | ( c2_1 @ X123 )
      | ~ ndr1_0
      | ( c0_1 @ X124 )
      | ( c1_1 @ X124 )
      | ( c3_1 @ X124 )
      | ~ ndr1_0
      | ( c0_1 @ X125 )
      | ( c1_1 @ X125 )
      | ~ ( c2_1 @ X125 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
    | ~ ndr1_0
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp20
    | ( c1_1 @ a388 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c1_1 @ a388 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a388 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ ( c2_1 @ a388 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a388 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ ( c3_1 @ a388 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl605,plain,
    ( ( c1_1 @ a388 )
   <= ( c1_1 @ a388 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl275_064,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1197,plain,
    ( ( ( c2_1 @ a388 )
      | ( c3_1 @ a388 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a388 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl275]) ).

thf('141',plain,
    ( ( c3_1 @ a388 )
    | ( c2_1 @ a388 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a388 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf(zip_derived_cl631_065,plain,
    ( ( c1_1 @ a380 )
   <= ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl315_066,plain,
    ( ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1220,plain,
    ( ( ( c3_1 @ a380 )
      | ~ ( c2_1 @ a380 ) )
   <= ( ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
      & ( c1_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl315]) ).

thf('142',plain,
    ( ~ ( c2_1 @ a380 )
    | ~ ( c1_1 @ a380 )
    | ~ ! [X32: $i] :
          ( ( c3_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c2_1 @ X32 ) )
    | ( c3_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1220]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i,X21: $i] :
      ( ( c2_1 @ X20 )
      | ( c3_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ndr1_0
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | hskp31
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('144',plain,
    ( ( c0_1 @ a380 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('145',plain,
    ( ( c1_1 @ a380 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a380 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c3_1 @ a380 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl447_067,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl639_068,plain,
    ( ~ ( c1_1 @ a379 )
   <= ~ ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1933,plain,
    ( ( ~ ( c3_1 @ a379 )
      | ( c0_1 @ a379 ) )
   <= ( ~ ( c1_1 @ a379 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl639]) ).

thf(zip_derived_cl5770,plain,
    ( ( c0_1 @ a379 )
   <= ( c0_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl1933]) ).

thf(zip_derived_cl255_069,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl5773,plain,
    ( ( ( c3_1 @ a379 )
      | ~ ( c2_1 @ a379 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a379 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5770,zip_derived_cl255]) ).

thf('147',plain,
    ( ~ ( c0_1 @ a379 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a379 )
    | ( c3_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl5773]) ).

thf(zip_derived_cl42,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( hskp17
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('149',plain,
    ( ! [X32: $i] :
        ( ( c3_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c2_1 @ X32 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl473_070,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl639_071,plain,
    ( ~ ( c1_1 @ a379 )
   <= ~ ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl2130,plain,
    ( ( ( c3_1 @ a379 )
      | ( c0_1 @ a379 ) )
   <= ( ~ ( c1_1 @ a379 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl639]) ).

thf('150',plain,
    ( ( c0_1 @ a379 )
    | ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) )
    | ( c3_1 @ a379 )
    | ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl2130]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp28
    | ( c1_1 @ a365 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl541,plain,
    ( ( c1_1 @ a365 )
   <= ( c1_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl360_072,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1395,plain,
    ( ( ( c0_1 @ a365 )
      | ~ ( c3_1 @ a365 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ( c1_1 @ a365 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl360]) ).

thf('151',plain,
    ( ( c0_1 @ a365 )
    | ~ ( c3_1 @ a365 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ~ ( c1_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl1395]) ).

thf(zip_derived_cl4792,plain,
    ( ( c0_1 @ a365 )
   <= ( c0_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl1395]) ).

thf(zip_derived_cl238_073,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4794,plain,
    ( ( ~ ( c2_1 @ a365 )
      | ~ ( c3_1 @ a365 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a365 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4792,zip_derived_cl238]) ).

thf('152',plain,
    ( ~ ( c0_1 @ a365 )
    | ~ ( c3_1 @ a365 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl4794]) ).

thf(zip_derived_cl39,plain,
    ! [X45: $i,X46: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
    | hskp16
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('154',plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
    | hskp28
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl345_074,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl302_075,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a368 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    ( ~ ( c1_1 @ a368 )
   <= ~ ( c1_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl910,plain,
    ( ( ~ ( c3_1 @ a368 )
      | ~ ( c0_1 @ a368 ) )
   <= ( ~ ( c1_1 @ a368 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl681]) ).

thf(zip_derived_cl1062,plain,
    ( ~ ( c0_1 @ a368 )
   <= ~ ( c0_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl910]) ).

thf(zip_derived_cl1530,plain,
    ( ( ~ ( c3_1 @ a368 )
      | ~ ( c2_1 @ a368 ) )
   <= ( ~ ( c0_1 @ a368 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl1062]) ).

thf('155',plain,
    ( ( c0_1 @ a368 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c2_1 @ a368 )
    | ~ ( c3_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl1530]) ).

thf(zip_derived_cl456_076,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ~ ( c2_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl681_077,plain,
    ( ~ ( c1_1 @ a368 )
   <= ~ ( c1_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl2048,plain,
    ( ( ~ ( c2_1 @ a368 )
      | ( c0_1 @ a368 ) )
   <= ( ~ ( c1_1 @ a368 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl681]) ).

thf('156',plain,
    ( ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ~ ( c2_1 @ X94 ) )
    | ( c0_1 @ a368 )
    | ( c1_1 @ a368 )
    | ~ ( c2_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl2048]) ).

thf(zip_derived_cl447_078,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl681_079,plain,
    ( ~ ( c1_1 @ a368 )
   <= ~ ( c1_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1930,plain,
    ( ( ~ ( c3_1 @ a368 )
      | ( c0_1 @ a368 ) )
   <= ( ~ ( c1_1 @ a368 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl681]) ).

thf(zip_derived_cl5692,plain,
    ( ( c0_1 @ a368 )
   <= ( c0_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl1930]) ).

thf(zip_derived_cl238_080,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl5694,plain,
    ( ( ~ ( c2_1 @ a368 )
      | ~ ( c3_1 @ a368 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a368 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5692,zip_derived_cl238]) ).

thf('157',plain,
    ( ~ ( c0_1 @ a368 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a368 )
    | ~ ( c3_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl5694]) ).

thf(zip_derived_cl293_081,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl681_082,plain,
    ( ~ ( c1_1 @ a368 )
   <= ~ ( c1_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl849,plain,
    ( ( ~ ( c3_1 @ a368 )
      | ~ ( c2_1 @ a368 ) )
   <= ( ~ ( c1_1 @ a368 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl681]) ).

thf('158',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a368 )
    | ( c1_1 @ a368 )
    | ~ ( c2_1 @ a368 ) ),
    inference(split,[status(esa)],[zip_derived_cl849]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp11
    | ( c2_1 @ a368 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ( c2_1 @ a368 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp11
    | ( c3_1 @ a368 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c3_1 @ a368 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('161',plain,
    ( ~ ( c1_1 @ a368 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('162',plain,
    ( hskp11
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a360 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a360 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl73,plain,
    ! [X111: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ( c2_1 @ X111 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( hskp4
    | ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl0,plain,
    ( hskp4
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( hskp4
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp4
    | ( c2_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c2_1 @ a358 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ~ ( c0_1 @ a358 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ~ ( c3_1 @ a358 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl45,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | hskp28
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl735,plain,
    ( ~ ( c0_1 @ a358 )
   <= ~ ( c0_1 @ a358 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1755,plain,
    ( ( ~ ( c2_1 @ a358 )
      | ( c3_1 @ a358 ) )
   <= ( ~ ( c0_1 @ a358 )
      & ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c2_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl735]) ).

thf('169',plain,
    ( ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c2_1 @ a358 )
    | ( c0_1 @ a358 )
    | ( c3_1 @ a358 ) ),
    inference(split,[status(esa)],[zip_derived_cl1755]) ).

thf('170',plain,
    ( hskp19
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp3
    | ( c1_1 @ a357 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ( c1_1 @ a357 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl741,plain,
    ( ( c1_1 @ a357 )
   <= ( c1_1 @ a357 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl231_083,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1319,plain,
    ( ( ~ ( c2_1 @ a357 )
      | ~ ( c3_1 @ a357 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a357 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl741,zip_derived_cl231]) ).

thf('172',plain,
    ( ~ ( c2_1 @ a357 )
    | ~ ( c1_1 @ a357 )
    | ~ ( c3_1 @ a357 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1319]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp3
    | ( c3_1 @ a357 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ( c3_1 @ a357 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a357 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl396_084,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl745_085,plain,
    ( ~ ( c0_1 @ a357 )
   <= ~ ( c0_1 @ a357 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1839,plain,
    ( ( ~ ( c3_1 @ a357 )
      | ( c2_1 @ a357 ) )
   <= ( ~ ( c0_1 @ a357 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl745]) ).

thf('175',plain,
    ( ( c2_1 @ a357 )
    | ~ ( c3_1 @ a357 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c0_1 @ a357 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf(zip_derived_cl483_086,plain,
    ( ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) )
   <= ! [X110: $i] :
        ( ( c0_1 @ X110 )
        | ( c1_1 @ X110 )
        | ( c2_1 @ X110 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl717_087,plain,
    ( ~ ( c1_1 @ a360 )
   <= ~ ( c1_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl2180,plain,
    ( ( ( c2_1 @ a360 )
      | ( c0_1 @ a360 ) )
   <= ( ~ ( c1_1 @ a360 )
      & ! [X110: $i] :
          ( ( c0_1 @ X110 )
          | ( c1_1 @ X110 )
          | ( c2_1 @ X110 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl717]) ).

thf('176',plain,
    ( ( c0_1 @ a360 )
    | ( c1_1 @ a360 )
    | ~ ! [X110: $i] :
          ( ( c0_1 @ X110 )
          | ( c1_1 @ X110 )
          | ( c2_1 @ X110 ) )
    | ( c2_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl2180]) ).

thf(zip_derived_cl329_088,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl615_089,plain,
    ( ~ ( c1_1 @ a387 )
   <= ~ ( c1_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1296,plain,
    ( ( ~ ( c3_1 @ a387 )
      | ( c2_1 @ a387 ) )
   <= ( ~ ( c1_1 @ a387 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl615]) ).

thf('177',plain,
    ( ~ ( c3_1 @ a387 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ( c1_1 @ a387 )
    | ( c2_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl1296]) ).

thf('178',plain,
    ( ~ ( c1_1 @ a387 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl473_090,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ( c3_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl615_091,plain,
    ( ~ ( c1_1 @ a387 )
   <= ~ ( c1_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl2131,plain,
    ( ( ( c3_1 @ a387 )
      | ( c0_1 @ a387 ) )
   <= ( ~ ( c1_1 @ a387 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl615]) ).

thf('179',plain,
    ( ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ( c3_1 @ X102 ) )
    | ( c0_1 @ a387 )
    | ( c1_1 @ a387 )
    | ( c3_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl2131]) ).

thf(zip_derived_cl629_092,plain,
    ( ( c0_1 @ a380 )
   <= ( c0_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl282_093,plain,
    ( ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c2_1 @ X18 )
        | ( c3_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1212,plain,
    ( ( ( c2_1 @ a380 )
      | ( c3_1 @ a380 ) )
   <= ( ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c0_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl282]) ).

thf('180',plain,
    ( ~ ! [X18: $i] :
          ( ( c2_1 @ X18 )
          | ( c3_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c2_1 @ a380 )
    | ~ ( c0_1 @ a380 )
    | ( c3_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1212]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp31
    | ( c0_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c0_1 @ a410 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('182',plain,
    ( ( c2_1 @ a410 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('183',plain,
    ( ( c3_1 @ a410 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl517,plain,
    ( ( c0_1 @ a410 )
   <= ( c0_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl238_094,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl982,plain,
    ( ( ~ ( c2_1 @ a410 )
      | ~ ( c3_1 @ a410 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a410 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl238]) ).

thf('184',plain,
    ( ~ ( c0_1 @ a410 )
    | ~ ( c3_1 @ a410 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c2_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf(zip_derived_cl2,plain,
    ( hskp21
    | hskp18
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( hskp6
    | hskp18
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp18
    | ( c3_1 @ a382 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c3_1 @ a382 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a382 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ ( c0_1 @ a382 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a382 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c2_1 @ a382 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl396_095,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl623,plain,
    ( ~ ( c0_1 @ a382 )
   <= ~ ( c0_1 @ a382 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1851,plain,
    ( ( ~ ( c3_1 @ a382 )
      | ( c2_1 @ a382 ) )
   <= ( ~ ( c0_1 @ a382 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl623]) ).

thf('189',plain,
    ( ( c0_1 @ a382 )
    | ~ ( c3_1 @ a382 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a382 ) ),
    inference(split,[status(esa)],[zip_derived_cl1851]) ).

thf(zip_derived_cl396_096,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a387 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl613,plain,
    ( ~ ( c0_1 @ a387 )
   <= ~ ( c0_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1852,plain,
    ( ( ~ ( c3_1 @ a387 )
      | ( c2_1 @ a387 ) )
   <= ( ~ ( c0_1 @ a387 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl613]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a387 )
    | ( c0_1 @ a387 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ~ ( c3_1 @ X67 ) )
    | ( c2_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl1852]) ).

thf('191',plain,
    ( ~ ( c0_1 @ a387 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a387 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ ( c2_1 @ a387 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('193',plain,
    ( hskp19
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('194',plain,
    ( ~ ( c1_1 @ a360 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a360 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ~ ( c3_1 @ a360 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl317_097,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl717_098,plain,
    ( ~ ( c1_1 @ a360 )
   <= ~ ( c1_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl1147,plain,
    ( ( ~ ( c0_1 @ a360 )
      | ( c3_1 @ a360 ) )
   <= ( ~ ( c1_1 @ a360 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl717]) ).

thf('196',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c1_1 @ a360 )
    | ( c3_1 @ a360 )
    | ~ ( c0_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl1147]) ).

thf(zip_derived_cl440_099,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl302_100,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl717_101,plain,
    ( ~ ( c1_1 @ a360 )
   <= ~ ( c1_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl907,plain,
    ( ( ~ ( c3_1 @ a360 )
      | ~ ( c0_1 @ a360 ) )
   <= ( ~ ( c1_1 @ a360 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl717]) ).

thf(zip_derived_cl1036,plain,
    ( ~ ( c0_1 @ a360 )
   <= ~ ( c0_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl1974,plain,
    ( ( ( c3_1 @ a360 )
      | ( c2_1 @ a360 ) )
   <= ( ~ ( c0_1 @ a360 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl1036]) ).

thf('197',plain,
    ( ( c0_1 @ a360 )
    | ( c3_1 @ a360 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) )
    | ( c2_1 @ a360 ) ),
    inference(split,[status(esa)],[zip_derived_cl1974]) ).

thf(zip_derived_cl440_102,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl613_103,plain,
    ( ~ ( c0_1 @ a387 )
   <= ~ ( c0_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1985,plain,
    ( ( ( c3_1 @ a387 )
      | ( c2_1 @ a387 ) )
   <= ( ~ ( c0_1 @ a387 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl613]) ).

thf('198',plain,
    ( ( c3_1 @ a387 )
    | ( c0_1 @ a387 )
    | ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) )
    | ( c2_1 @ a387 ) ),
    inference(split,[status(esa)],[zip_derived_cl1985]) ).

thf(zip_derived_cl54,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl631_104,plain,
    ( ( c1_1 @ a380 )
   <= ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl250_105,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1215,plain,
    ( ( ~ ( c0_1 @ a380 )
      | ~ ( c2_1 @ a380 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl250]) ).

thf('200',plain,
    ( ~ ( c2_1 @ a380 )
    | ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a380 )
    | ~ ( c0_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1215]) ).

thf(zip_derived_cl631_106,plain,
    ( ( c1_1 @ a380 )
   <= ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl275_107,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1218,plain,
    ( ( ( c2_1 @ a380 )
      | ( c3_1 @ a380 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a380 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl275]) ).

thf('201',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a380 )
    | ( c3_1 @ a380 )
    | ~ ( c1_1 @ a380 ) ),
    inference(split,[status(esa)],[zip_derived_cl1218]) ).

thf(zip_derived_cl136,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl200,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl6,plain,
    ( hskp17
    | hskp1
    | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( hskp17
    | hskp11
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp28
    | ( c3_1 @ a365 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ( c3_1 @ a365 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('207',plain,
    ( ( c1_1 @ a365 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp28
    | ( c2_1 @ a365 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ( c2_1 @ a365 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl541_108,plain,
    ( ( c1_1 @ a365 )
   <= ( c1_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl231_109,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1070,plain,
    ( ( ~ ( c2_1 @ a365 )
      | ~ ( c3_1 @ a365 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a365 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl231]) ).

thf('209',plain,
    ( ~ ( c1_1 @ a365 )
    | ~ ( c3_1 @ a365 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a365 ) ),
    inference(split,[status(esa)],[zip_derived_cl1070]) ).

thf(zip_derived_cl342_110,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl647_111,plain,
    ( ~ ( c1_1 @ a376 )
   <= ~ ( c1_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1480,plain,
    ( ( ~ ( c0_1 @ a376 )
      | ( c2_1 @ a376 ) )
   <= ( ~ ( c1_1 @ a376 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl647]) ).

thf('210',plain,
    ( ~ ( c0_1 @ a376 )
    | ( c1_1 @ a376 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ( c2_1 @ a376 ) ),
    inference(split,[status(esa)],[zip_derived_cl1480]) ).

thf(zip_derived_cl52,plain,
    ! [X69: $i,X70: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( hskp16
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ~ ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp16
    | ( c2_1 @ a379 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ( c2_1 @ a379 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('213',plain,
    ( ~ ( c1_1 @ a379 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a379 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ~ ( c3_1 @ a379 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl28,plain,
    ! [X27: $i,X28: $i,X29: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl639_112,plain,
    ( ~ ( c1_1 @ a379 )
   <= ~ ( c1_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1009,plain,
    ( ( ~ ( c2_1 @ a379 )
      | ( c3_1 @ a379 ) )
   <= ( ~ ( c1_1 @ a379 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl639]) ).

thf('215',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c1_1 @ a379 )
    | ( c3_1 @ a379 )
    | ~ ( c2_1 @ a379 ) ),
    inference(split,[status(esa)],[zip_derived_cl1009]) ).

thf('216',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp30
    | ( c0_1 @ a373 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c0_1 @ a373 )
   <= ( c0_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl238_113,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1040,plain,
    ( ( ~ ( c2_1 @ a373 )
      | ~ ( c3_1 @ a373 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c0_1 @ a373 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl238]) ).

thf('217',plain,
    ( ~ ( c2_1 @ a373 )
    | ~ ( c0_1 @ a373 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf('218',plain,
    ( ( c0_1 @ a373 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('219',plain,
    ( ( c1_1 @ a373 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp30
    | ( c3_1 @ a373 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ( c3_1 @ a373 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl527_114,plain,
    ( ( c1_1 @ a373 )
   <= ( c1_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl270_115,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1047,plain,
    ( ( ( c2_1 @ a373 )
      | ~ ( c3_1 @ a373 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a373 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl270]) ).

thf('221',plain,
    ( ( c2_1 @ a373 )
    | ~ ( c1_1 @ a373 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a373 ) ),
    inference(split,[status(esa)],[zip_derived_cl1047]) ).

thf(zip_derived_cl8068,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN504+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BdglLTTfHs true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 19:48:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.84/1.63  % Solved by fo/fo1_av.sh.
% 6.84/1.63  % done 2145 iterations in 0.825s
% 6.84/1.63  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.84/1.63  % SZS output start Refutation
% See solution above
% 7.42/1.63  
% 7.42/1.63  
% 7.42/1.64  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.42/1.64  % Terminating...
% 7.72/1.78  % Runner terminated.
% 7.72/1.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------