TSTP Solution File: SYN462+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN462+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.LRUczEu5Co true

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:45 EDT 2023

% Result   : Theorem 9.35s 2.35s
% Output   : Refutation 9.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  662 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 3865 (   0 equ;   0 cnn)
%            Maximal formula atoms :  593 (   6 avg)
%            Number of connectives : 8223 (1982   ~;2394   |; 454   &;2971   @)
%                                         (   0 <=>; 174  =>; 248  <=;   0 <~>)
%            Maximal formula depth :   94 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  668 (   0   ^; 668   !;   0   ?; 668   :)

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

thf(a270_type,type,
    a270: $i ).

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

thf(a337_type,type,
    a337: $i ).

thf(a282_type,type,
    a282: $i ).

thf(a313_type,type,
    a313: $i ).

thf(a278_type,type,
    a278: $i ).

thf(a293_type,type,
    a293: $i ).

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

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

thf(a267_type,type,
    a267: $i ).

thf(a273_type,type,
    a273: $i ).

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

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

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

thf(a268_type,type,
    a268: $i ).

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

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

thf(a271_type,type,
    a271: $i ).

thf(a303_type,type,
    a303: $i ).

thf(a311_type,type,
    a311: $i ).

thf(a304_type,type,
    a304: $i ).

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

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

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

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

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

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

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

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

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

thf(a280_type,type,
    a280: $i ).

thf(a284_type,type,
    a284: $i ).

thf(a298_type,type,
    a298: $i ).

thf(a307_type,type,
    a307: $i ).

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

thf(a295_type,type,
    a295: $i ).

thf(a291_type,type,
    a291: $i ).

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

thf(a305_type,type,
    a305: $i ).

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

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

thf(a274_type,type,
    a274: $i ).

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

thf(a352_type,type,
    a352: $i ).

thf(a275_type,type,
    a275: $i ).

thf(a286_type,type,
    a286: $i ).

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

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

thf(a287_type,type,
    a287: $i ).

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

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

thf(a272_type,type,
    a272: $i ).

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

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

thf(a318_type,type,
    a318: $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(a269_type,type,
    a269: $i ).

thf(a276_type,type,
    a276: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a267 )
          & ~ ( c2_1 @ a267 )
          & ~ ( c3_1 @ a267 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c3_1 @ a268 )
          & ~ ( c1_1 @ a268 )
          & ~ ( c2_1 @ a268 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a269 )
          & ~ ( c1_1 @ a269 )
          & ~ ( c2_1 @ a269 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a270 )
          & ( c3_1 @ a270 )
          & ~ ( c2_1 @ a270 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a271 )
          & ~ ( c1_1 @ a271 )
          & ~ ( c3_1 @ a271 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a272 )
          & ~ ( c1_1 @ a272 )
          & ~ ( c3_1 @ a272 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a273 )
          & ( c2_1 @ a273 )
          & ~ ( c0_1 @ a273 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a274 )
          & ( c1_1 @ a274 )
          & ~ ( c3_1 @ a274 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c0_1 @ a275 )
          & ~ ( c2_1 @ a275 )
          & ~ ( c3_1 @ a275 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a280 )
          & ( c3_1 @ a280 )
          & ~ ( c1_1 @ a280 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a281 )
          & ~ ( c0_1 @ a281 )
          & ~ ( c2_1 @ a281 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a282 )
          & ~ ( c0_1 @ a282 )
          & ~ ( c1_1 @ a282 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a284 )
          & ~ ( c0_1 @ a284 )
          & ~ ( c3_1 @ a284 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a286 )
          & ( c3_1 @ a286 )
          & ~ ( c0_1 @ a286 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a287 )
          & ~ ( c0_1 @ a287 )
          & ~ ( c2_1 @ a287 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a291 )
          & ( c3_1 @ a291 )
          & ~ ( c0_1 @ a291 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a293 )
          & ( c1_1 @ a293 )
          & ~ ( c2_1 @ a293 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a295 )
          & ~ ( c0_1 @ a295 )
          & ~ ( c1_1 @ a295 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a298 )
          & ( c3_1 @ a298 )
          & ~ ( c2_1 @ a298 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a303 )
          & ( c2_1 @ a303 )
          & ~ ( c3_1 @ a303 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a305 )
          & ~ ( c0_1 @ a305 )
          & ~ ( c3_1 @ a305 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a307 )
          & ( c2_1 @ a307 )
          & ~ ( c1_1 @ a307 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a311 )
          & ( c2_1 @ a311 )
          & ~ ( c3_1 @ a311 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c1_1 @ a313 )
          & ~ ( c2_1 @ a313 )
          & ~ ( c3_1 @ a313 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c2_1 @ a318 )
          & ~ ( c1_1 @ a318 )
          & ~ ( c3_1 @ a318 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a352 )
          & ~ ( c2_1 @ a352 )
          & ~ ( c3_1 @ a352 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c0_1 @ a356 )
          & ~ ( c1_1 @ a356 )
          & ~ ( c2_1 @ a356 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a276 )
          & ( c2_1 @ a276 )
          & ( c3_1 @ a276 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a278 )
          & ( c1_1 @ a278 )
          & ( c3_1 @ a278 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a304 )
          & ( c1_1 @ a304 )
          & ( c2_1 @ a304 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a337 )
          & ( c2_1 @ a337 )
          & ( c3_1 @ a337 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ~ ( c0_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c2_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp0
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c2_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | hskp2 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | hskp3 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ~ ( c0_1 @ X8 )
              | ~ ( c1_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ( c3_1 @ X10 )
              | ~ ( c0_1 @ X10 ) ) )
        | hskp4 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ( c3_1 @ X12 )
              | ~ ( c0_1 @ X12 ) ) )
        | hskp5 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp6 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp27
        | hskp1 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | hskp28 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | hskp27 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | hskp9 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ~ ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) ) )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ~ ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | hskp10 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp11 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c3_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ~ ( c0_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c3_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp7
        | hskp12 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | hskp6
        | hskp13 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | hskp14 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c2_1 @ X35 ) ) )
        | hskp1
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp6 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c1_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | hskp15
        | hskp12 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp16 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp0
        | hskp17 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c2_1 @ X45 )
              | ( c3_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | hskp7 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) ) )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c2_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp7 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | hskp18 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ~ ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) ) )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp0
        | hskp10 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp8 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c0_1 @ X59 ) ) )
        | hskp27
        | hskp19 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | hskp29
        | hskp20 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) )
        | hskp1 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | hskp21 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 ) ) )
        | hskp8 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp29
        | hskp5 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp22
        | hskp0 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp23 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) )
        | hskp28
        | hskp23 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp0 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | hskp21
        | hskp24 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp7
        | hskp19 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp19
        | hskp20 )
      & ( hskp29
        | hskp22
        | hskp11 )
      & ( hskp29
        | hskp9
        | hskp11 )
      & ( hskp16
        | hskp7
        | hskp18 )
      & ( hskp16
        | hskp30
        | hskp5 )
      & ( hskp30
        | hskp14
        | hskp17 )
      & ( hskp21
        | hskp10
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp9 )
      & ( hskp0
        | hskp19
        | hskp9 )
      & ( hskp14
        | hskp25
        | hskp12 )
      & ( hskp12
        | hskp1
        | hskp26 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a267 )
        & ~ ( c2_1 @ a267 )
        & ~ ( c3_1 @ a267 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c3_1 @ a268 )
        & ~ ( c1_1 @ a268 )
        & ~ ( c2_1 @ a268 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a269 )
        & ~ ( c1_1 @ a269 )
        & ~ ( c2_1 @ a269 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a270 )
        & ( c3_1 @ a270 )
        & ~ ( c2_1 @ a270 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a271 )
        & ~ ( c1_1 @ a271 )
        & ~ ( c3_1 @ a271 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a272 )
        & ~ ( c1_1 @ a272 )
        & ~ ( c3_1 @ a272 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a273 )
        & ( c2_1 @ a273 )
        & ~ ( c0_1 @ a273 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a274 )
        & ( c1_1 @ a274 )
        & ~ ( c3_1 @ a274 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c0_1 @ a275 )
        & ~ ( c2_1 @ a275 )
        & ~ ( c3_1 @ a275 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a280 )
        & ( c3_1 @ a280 )
        & ~ ( c1_1 @ a280 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a281 )
        & ~ ( c0_1 @ a281 )
        & ~ ( c2_1 @ a281 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a282 )
        & ~ ( c0_1 @ a282 )
        & ~ ( c1_1 @ a282 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a284 )
        & ~ ( c0_1 @ a284 )
        & ~ ( c3_1 @ a284 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a286 )
        & ( c3_1 @ a286 )
        & ~ ( c0_1 @ a286 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a287 )
        & ~ ( c0_1 @ a287 )
        & ~ ( c2_1 @ a287 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a291 )
        & ( c3_1 @ a291 )
        & ~ ( c0_1 @ a291 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a293 )
        & ( c1_1 @ a293 )
        & ~ ( c2_1 @ a293 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a295 )
        & ~ ( c0_1 @ a295 )
        & ~ ( c1_1 @ a295 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a298 )
        & ( c3_1 @ a298 )
        & ~ ( c2_1 @ a298 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a303 )
        & ( c2_1 @ a303 )
        & ~ ( c3_1 @ a303 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a305 )
        & ~ ( c0_1 @ a305 )
        & ~ ( c3_1 @ a305 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a307 )
        & ( c2_1 @ a307 )
        & ~ ( c1_1 @ a307 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a311 )
        & ( c2_1 @ a311 )
        & ~ ( c3_1 @ a311 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c1_1 @ a313 )
        & ~ ( c2_1 @ a313 )
        & ~ ( c3_1 @ a313 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c2_1 @ a318 )
        & ~ ( c1_1 @ a318 )
        & ~ ( c3_1 @ a318 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a352 )
        & ~ ( c2_1 @ a352 )
        & ~ ( c3_1 @ a352 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c0_1 @ a356 )
        & ~ ( c1_1 @ a356 )
        & ~ ( c2_1 @ a356 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a276 )
        & ( c2_1 @ a276 )
        & ( c3_1 @ a276 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a278 )
        & ( c1_1 @ a278 )
        & ( c3_1 @ a278 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a304 )
        & ( c1_1 @ a304 )
        & ( c2_1 @ a304 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a337 )
        & ( c2_1 @ a337 )
        & ( c3_1 @ a337 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ~ ( c0_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c2_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp0
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c2_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | hskp2 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | hskp3 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ~ ( c0_1 @ X8 )
            | ~ ( c1_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ( c3_1 @ X10 )
            | ~ ( c0_1 @ X10 ) ) )
      | hskp4 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ( c3_1 @ X12 )
            | ~ ( c0_1 @ X12 ) ) )
      | hskp5 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp6 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp27
      | hskp1 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | hskp28 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | hskp27 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | hskp9 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ~ ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) ) )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ~ ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | hskp10 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp11 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c3_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ~ ( c0_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c3_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp7
      | hskp12 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | hskp6
      | hskp13 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | hskp14 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c2_1 @ X35 ) ) )
      | hskp1
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp6 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c1_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | hskp15
      | hskp12 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp16 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp0
      | hskp17 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c2_1 @ X45 )
            | ( c3_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | hskp7 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) ) )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c2_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp7 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | hskp18 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ~ ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) ) )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp0
      | hskp10 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp8 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c0_1 @ X59 ) ) )
      | hskp27
      | hskp19 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | hskp29
      | hskp20 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) )
      | hskp1 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | hskp21 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 ) ) )
      | hskp8 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp29
      | hskp5 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp22
      | hskp0 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp23 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) )
      | hskp28
      | hskp23 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp0 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | hskp21
      | hskp24 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp7
      | hskp19 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp19
      | hskp20 )
    & ( hskp29
      | hskp22
      | hskp11 )
    & ( hskp29
      | hskp9
      | hskp11 )
    & ( hskp16
      | hskp7
      | hskp18 )
    & ( hskp16
      | hskp30
      | hskp5 )
    & ( hskp30
      | hskp14
      | hskp17 )
    & ( hskp21
      | hskp10
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp9 )
    & ( hskp0
      | hskp19
      | hskp9 )
    & ( hskp14
      | hskp25
      | hskp12 )
    & ( hskp12
      | hskp1
      | hskp26 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl20,plain,
    ! [X12: $i,X13: $i] :
      ( ( c1_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl455,plain,
    ( ~ ( c2_1 @ a352 )
   <= ~ ( c2_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl866,plain,
    ( ( ~ ( c1_1 @ a352 )
      | ~ ( c0_1 @ a352 ) )
   <= ( ~ ( c2_1 @ a352 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl455]) ).

thf('0',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a352 )
    | ~ ( c1_1 @ a352 )
    | ( c2_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a275 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a275 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a356 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ~ ( c1_1 @ a356 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ~ ( c2_1 @ a356 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl0,plain,
    ( hskp12
    | hskp1
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp26
    | hskp1
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl29,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a268 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ~ ( c2_1 @ a268 )
   <= ~ ( c2_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1210,plain,
    ( ( ~ ( c0_1 @ a268 )
      | ( c1_1 @ a268 ) )
   <= ( ~ ( c2_1 @ a268 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl649]) ).

thf('6',plain,
    ( ( c2_1 @ a268 )
    | ( c1_1 @ a268 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl1210]) ).

thf(zip_derived_cl15,plain,
    ! [X5: $i,X6: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp15
    | ( c2_1 @ a291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl533,plain,
    ( ( c2_1 @ a291 )
   <= ( c2_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl52,plain,
    ! [X69: $i,X70: $i] :
      ( ( c0_1 @ X69 )
      | ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c2_1 @ X70 )
      | ( c3_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1823,plain,
    ( ( ( c0_1 @ a291 )
      | ( c1_1 @ a291 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ( c2_1 @ a291 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl380]) ).

thf('8',plain,
    ( ( c1_1 @ a291 )
    | ( c0_1 @ a291 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c2_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1823]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('10',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
    | hskp18
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

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

thf('11',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
    | ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp27
    | ( c3_1 @ a276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl441,plain,
    ( ( c3_1 @ a276 )
   <= ( c3_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl33,plain,
    ! [X37: $i] :
      ( ( c0_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1581,plain,
    ( ( ( c0_1 @ a276 )
      | ~ ( c1_1 @ a276 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl305]) ).

thf('12',plain,
    ( ( c0_1 @ a276 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ~ ( c3_1 @ a276 )
    | ~ ( c1_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1581]) ).

thf(zip_derived_cl23,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ndr1_0
      | hskp29
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( hskp29
    | hskp20
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp3
    | ( c3_1 @ a270 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( c3_1 @ a270 )
   <= ( c3_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl26,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl278,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1542,plain,
    ( ( ( c1_1 @ a270 )
      | ( c2_1 @ a270 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a270 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl278]) ).

thf('14',plain,
    ( ( c1_1 @ a270 )
    | ~ ( c3_1 @ a270 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c2_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl1542]) ).

thf(zip_derived_cl631_001,plain,
    ( ( c3_1 @ a270 )
   <= ( c3_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl17,plain,
    ! [X8: $i,X9: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl243,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1539,plain,
    ( ( ( c2_1 @ a270 )
      | ~ ( c1_1 @ a270 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a270 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl243]) ).

thf('15',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a270 )
    | ( c2_1 @ a270 )
    | ~ ( c3_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( c3_1 @ a274 )
   <= ~ ( c3_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl14,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp21
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl747,plain,
    ( ( ~ ( c0_1 @ a274 )
      | ~ ( c2_1 @ a274 ) )
   <= ( ~ ( c3_1 @ a274 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl601,zip_derived_cl230]) ).

thf('16',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a274 )
    | ( c3_1 @ a274 )
    | ~ ( c0_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl747]) ).

thf('17',plain,
    ( ~ ( c3_1 @ a274 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl31,plain,
    ! [X32: $i,X33: $i,X34: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | ( c2_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    ( ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl601_002,plain,
    ( ~ ( c3_1 @ a274 )
   <= ~ ( c3_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1349,plain,
    ( ( ~ ( c1_1 @ a274 )
      | ( c2_1 @ a274 ) )
   <= ( ~ ( c3_1 @ a274 )
      & ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl601]) ).

thf('18',plain,
    ( ~ ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ( c2_1 @ a274 )
    | ( c3_1 @ a274 )
    | ~ ( c1_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf(zip_derived_cl22,plain,
    ! [X16: $i,X17: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a272 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ~ ( c3_1 @ a272 )
   <= ~ ( c3_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl982,plain,
    ( ( ~ ( c0_1 @ a272 )
      | ( c2_1 @ a272 ) )
   <= ( ~ ( c3_1 @ a272 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl617]) ).

thf('19',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ( c2_1 @ a272 )
    | ( c3_1 @ a272 )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf('20',plain,
    ( ( c3_1 @ a270 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a270 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a270 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl55,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0
      | ( c0_1 @ X77 )
      | ( c1_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( hskp3
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp17
    | ( c3_1 @ a295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( c3_1 @ a295 )
   <= ( c3_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl18,plain,
    ! [X10: $i] :
      ( ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp22
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1391,plain,
    ( ( ( c1_1 @ a295 )
      | ~ ( c2_1 @ a295 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a295 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl246]) ).

thf('23',plain,
    ( ( c1_1 @ a295 )
    | ~ ( c2_1 @ a295 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1391]) ).

thf(zip_derived_cl517_003,plain,
    ( ( c3_1 @ a295 )
   <= ( c3_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl278_004,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1393,plain,
    ( ( ( c1_1 @ a295 )
      | ( c2_1 @ a295 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a295 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl278]) ).

thf('24',plain,
    ( ( c2_1 @ a295 )
    | ( c1_1 @ a295 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl21,plain,
    ! [X14: $i,X15: $i] :
      ( ( c1_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl497,plain,
    ( ~ ( c3_1 @ a305 )
   <= ~ ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl920,plain,
    ( ( ~ ( c2_1 @ a305 )
      | ~ ( c1_1 @ a305 ) )
   <= ( ~ ( c3_1 @ a305 )
      & ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl497]) ).

thf('26',plain,
    ( ( c3_1 @ a305 )
    | ~ ( c2_1 @ a305 )
    | ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ( c1_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl920]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp20
    | ( c1_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c1_1 @ a305 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp19
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('30',plain,
    ( ( c3_1 @ a295 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl5,plain,
    ( hskp30
    | hskp14
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp30
    | hskp17
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl24,plain,
    ! [X19: $i,X20: $i,X21: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0
      | ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp30
    | ( c2_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ( c2_1 @ a337 )
   <= ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl266,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1179,plain,
    ( ( ( c1_1 @ a337 )
      | ~ ( c0_1 @ a337 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
      & ( c2_1 @ a337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl266]) ).

thf('34',plain,
    ( ( c1_1 @ a337 )
    | ~ ( c0_1 @ a337 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ~ ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl1179]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp15
    | ( c3_1 @ a291 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( c3_1 @ a291 )
   <= ( c3_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl246_005,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1414,plain,
    ( ( ( c1_1 @ a291 )
      | ~ ( c2_1 @ a291 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a291 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl246]) ).

thf('35',plain,
    ( ( c1_1 @ a291 )
    | ~ ( c3_1 @ a291 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf('36',plain,
    ( ( c2_1 @ a291 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('37',plain,
    ( ( c3_1 @ a291 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl35,plain,
    ! [X40: $i] :
      ( ( c0_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
    | hskp15
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp9
    | ( c3_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( c3_1 @ a280 )
   <= ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl36,plain,
    ! [X41: $i,X42: $i] :
      ( ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ! [X42: $i] :
        ( ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1474,plain,
    ( ( ~ ( c0_1 @ a280 )
      | ~ ( c2_1 @ a280 ) )
   <= ( ! [X42: $i] :
          ( ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl317]) ).

thf('39',plain,
    ( ~ ! [X42: $i] :
          ( ~ ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a280 )
    | ~ ( c2_1 @ a280 )
    | ~ ( c0_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1474]) ).

thf(zip_derived_cl47,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ( c2_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
    | ! [X42: $i] :
        ( ~ ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | hskp27
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl49,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp27
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( hskp1
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl28,plain,
    ! [X25: $i,X26: $i,X27: $i] :
      ( ( c1_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c2_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ndr1_0
      | ( c3_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl258_006,plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ~ ( c3_1 @ a303 )
   <= ~ ( c3_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl919,plain,
    ( ( ~ ( c2_1 @ a303 )
      | ~ ( c1_1 @ a303 ) )
   <= ( ~ ( c3_1 @ a303 )
      & ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl505]) ).

thf('43',plain,
    ( ~ ( c1_1 @ a303 )
    | ( c3_1 @ a303 )
    | ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl919]) ).

thf(zip_derived_cl583_007,plain,
    ( ( c3_1 @ a280 )
   <= ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl367,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1779,plain,
    ( ( ( c0_1 @ a280 )
      | ( c1_1 @ a280 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ( c3_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl367]) ).

thf('44',plain,
    ( ( c0_1 @ a280 )
    | ( c1_1 @ a280 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1779]) ).

thf(zip_derived_cl441_008,plain,
    ( ( c3_1 @ a276 )
   <= ( c3_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl214,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_cl10]) ).

thf(zip_derived_cl1262,plain,
    ( ( ~ ( c1_1 @ a276 )
      | ~ ( c2_1 @ a276 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl214]) ).

thf('45',plain,
    ( ~ ( c2_1 @ a276 )
    | ~ ( c3_1 @ a276 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf(zip_derived_cl297_009,plain,
    ( ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl497_010,plain,
    ( ~ ( c3_1 @ a305 )
   <= ~ ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1353,plain,
    ( ( ~ ( c1_1 @ a305 )
      | ( c2_1 @ a305 ) )
   <= ( ~ ( c3_1 @ a305 )
      & ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl497]) ).

thf('46',plain,
    ( ( c2_1 @ a305 )
    | ( c3_1 @ a305 )
    | ~ ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ~ ( c1_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl1353]) ).

thf(zip_derived_cl25,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl481,plain,
    ( ~ ( c3_1 @ a311 )
   <= ~ ( c3_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1083,plain,
    ( ( ~ ( c0_1 @ a311 )
      | ( c1_1 @ a311 ) )
   <= ( ~ ( c3_1 @ a311 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl481]) ).

thf('47',plain,
    ( ( c1_1 @ a311 )
    | ( c3_1 @ a311 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ~ ( c0_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl1083]) ).

thf(zip_derived_cl3,plain,
    ( hskp22
    | hskp6
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( hskp22
    | hskp6
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl19,plain,
    ! [X11: $i] :
      ( ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp29
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp29
    | ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp22
    | ( c2_1 @ a311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    ( ( c2_1 @ a311 )
   <= ( c2_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl13,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1293,plain,
    ( ( ~ ( c0_1 @ a311 )
      | ~ ( c1_1 @ a311 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a311 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl226]) ).

thf('50',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a311 )
    | ~ ( c2_1 @ a311 )
    | ~ ( c0_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl1293]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp6
    | ( c1_1 @ a273 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ( c1_1 @ a273 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a273 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ~ ( c0_1 @ a273 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp6
    | ( c2_1 @ a273 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ( c2_1 @ a273 )
   <= ( c2_1 @ a273 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl313,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1618,plain,
    ( ( ( c0_1 @ a273 )
      | ~ ( c1_1 @ a273 ) )
   <= ( ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c2_1 @ a273 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl313]) ).

thf('53',plain,
    ( ( c0_1 @ a273 )
    | ~ ( c2_1 @ a273 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c1_1 @ a273 ) ),
    inference(split,[status(esa)],[zip_derived_cl1618]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp19
    | ( c2_1 @ a303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ( c2_1 @ a303 )
   <= ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl313_011,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1623,plain,
    ( ( ( c0_1 @ a303 )
      | ~ ( c1_1 @ a303 ) )
   <= ( ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c2_1 @ a303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl313]) ).

thf('54',plain,
    ( ( c0_1 @ a303 )
    | ~ ( c2_1 @ a303 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c1_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1623]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp19
    | ( c1_1 @ a303 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c1_1 @ a303 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl441_012,plain,
    ( ( c3_1 @ a276 )
   <= ( c3_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp7
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1263,plain,
    ( ( ~ ( c0_1 @ a276 )
      | ~ ( c1_1 @ a276 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl222]) ).

thf('56',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a276 )
    | ~ ( c3_1 @ a276 )
    | ~ ( c1_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1263]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp27
    | ( c1_1 @ a276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ( c1_1 @ a276 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp27
    | ( c2_1 @ a276 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ( c2_1 @ a276 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('59',plain,
    ( ( c3_1 @ a276 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('60',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
    | hskp27
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('61',plain,
    ( hskp7
    | hskp19
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl439,plain,
    ( ( c2_1 @ a276 )
   <= ( c2_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl313_013,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1627,plain,
    ( ( ( c0_1 @ a276 )
      | ~ ( c1_1 @ a276 ) )
   <= ( ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c2_1 @ a276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl313]) ).

thf('62',plain,
    ( ( c0_1 @ a276 )
    | ~ ( c1_1 @ a276 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c2_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf(zip_derived_cl617_014,plain,
    ( ~ ( c3_1 @ a272 )
   <= ~ ( c3_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl230_015,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl781,plain,
    ( ( ~ ( c0_1 @ a272 )
      | ~ ( c2_1 @ a272 ) )
   <= ( ~ ( c3_1 @ a272 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl617,zip_derived_cl230]) ).

thf('63',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a272 )
    | ( c3_1 @ a272 )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl781]) ).

thf(zip_derived_cl274_016,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl617_017,plain,
    ( ~ ( c3_1 @ a272 )
   <= ~ ( c3_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1077,plain,
    ( ( ~ ( c0_1 @ a272 )
      | ( c1_1 @ a272 ) )
   <= ( ~ ( c3_1 @ a272 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl617]) ).

thf('64',plain,
    ( ( c1_1 @ a272 )
    | ( c3_1 @ a272 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl1077]) ).

thf('65',plain,
    ( ~ ( c3_1 @ a272 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl6,plain,
    ( hskp16
    | hskp30
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp16
    | hskp30
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp30
    | ( c3_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl417,plain,
    ( ( c3_1 @ a337 )
   <= ( c3_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl259,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1194,plain,
    ( ( ( c1_1 @ a337 )
      | ~ ( c0_1 @ a337 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl259]) ).

thf('67',plain,
    ( ( c1_1 @ a337 )
    | ~ ( c0_1 @ a337 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl1194]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp30
    | ( c0_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c0_1 @ a337 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('69',plain,
    ( ( c2_1 @ a337 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('70',plain,
    ( ( c3_1 @ a337 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl415_018,plain,
    ( ( c2_1 @ a337 )
   <= ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl226_019,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1178,plain,
    ( ( ~ ( c0_1 @ a337 )
      | ~ ( c1_1 @ a337 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl226]) ).

thf('71',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a337 )
    | ~ ( c0_1 @ a337 )
    | ~ ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl1178]) ).

thf(zip_derived_cl34,plain,
    ! [X38: $i,X39: $i] :
      ( ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( hskp16
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp18
    | ( c3_1 @ a298 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ( ( c3_1 @ a298 )
   <= ( c3_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl243_020,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1383,plain,
    ( ( ( c2_1 @ a298 )
      | ~ ( c1_1 @ a298 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a298 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl243]) ).

thf('73',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a298 )
    | ( c2_1 @ a298 )
    | ~ ( c1_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl1383]) ).

thf(zip_derived_cl511_021,plain,
    ( ( c3_1 @ a298 )
   <= ( c3_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl305_022,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1580,plain,
    ( ( ( c0_1 @ a298 )
      | ~ ( c1_1 @ a298 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a298 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl305]) ).

thf('74',plain,
    ( ( c0_1 @ a298 )
    | ~ ( c3_1 @ a298 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ~ ( c1_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl1580]) ).

thf(zip_derived_cl254_023,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a298 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ( ~ ( c2_1 @ a298 )
   <= ~ ( c2_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl860,plain,
    ( ( ~ ( c1_1 @ a298 )
      | ~ ( c0_1 @ a298 ) )
   <= ( ~ ( c2_1 @ a298 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl513]) ).

thf('75',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a298 )
    | ( c2_1 @ a298 )
    | ~ ( c1_1 @ a298 ) ),
    inference(split,[status(esa)],[zip_derived_cl860]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp18
    | ( c1_1 @ a298 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ( c1_1 @ a298 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('78',plain,
    ( ( c3_1 @ a298 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('79',plain,
    ( ~ ( c2_1 @ a298 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl7,plain,
    ( hskp16
    | hskp7
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp16
    | hskp7
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp7
    | ( c0_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ( c0_1 @ a274 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp7
    | ( c1_1 @ a274 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ( c1_1 @ a274 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl254_024,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl226_025,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl849,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl226]) ).

thf(zip_derived_cl886,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl849]) ).

thf(zip_derived_cl597,plain,
    ( ( c0_1 @ a274 )
   <= ( c0_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl2166,plain,
    ( ~ ( c1_1 @ a274 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c0_1 @ a274 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl886,zip_derived_cl597]) ).

thf(zip_derived_cl599,plain,
    ( ( c1_1 @ a274 )
   <= ( c1_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('83',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a274 )
    | ~ ( c1_1 @ a274 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2166,zip_derived_cl599]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp16
    | ( c0_1 @ a293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c0_1 @ a293 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp16
    | ( c1_1 @ a293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ( c1_1 @ a293 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a293 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a293 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl254_026,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl529,plain,
    ( ~ ( c2_1 @ a293 )
   <= ~ ( c2_1 @ a293 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl859,plain,
    ( ( ~ ( c1_1 @ a293 )
      | ~ ( c0_1 @ a293 ) )
   <= ( ~ ( c2_1 @ a293 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl529]) ).

thf('87',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a293 )
    | ( c2_1 @ a293 )
    | ~ ( c0_1 @ a293 ) ),
    inference(split,[status(esa)],[zip_derived_cl859]) ).

thf(zip_derived_cl503_027,plain,
    ( ( c2_1 @ a303 )
   <= ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl226_028,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1375,plain,
    ( ( ~ ( c0_1 @ a303 )
      | ~ ( c1_1 @ a303 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a303 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl226]) ).

thf('88',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a303 )
    | ~ ( c1_1 @ a303 )
    | ~ ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1375]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp29
    | ( c0_1 @ a304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c0_1 @ a304 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp29
    | ( c1_1 @ a304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c1_1 @ a304 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp29
    | ( c2_1 @ a304 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ( c2_1 @ a304 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl425,plain,
    ( ( c2_1 @ a304 )
   <= ( c2_1 @ a304 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl226_029,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1197,plain,
    ( ( ~ ( c0_1 @ a304 )
      | ~ ( c1_1 @ a304 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a304 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl226]) ).

thf('92',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a304 )
    | ~ ( c2_1 @ a304 )
    | ~ ( c1_1 @ a304 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf(zip_derived_cl439_030,plain,
    ( ( c2_1 @ a276 )
   <= ( c2_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl226_031,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1260,plain,
    ( ( ~ ( c0_1 @ a276 )
      | ~ ( c1_1 @ a276 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a276 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl226]) ).

thf('93',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a276 )
    | ~ ( c2_1 @ a276 )
    | ~ ( c1_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1260]) ).

thf(zip_derived_cl290_032,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl893,plain,
    ( ~ ( c2_1 @ a272 )
   <= ~ ( c2_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl781]) ).

thf(zip_derived_cl1214,plain,
    ( ( ~ ( c0_1 @ a272 )
      | ( c1_1 @ a272 ) )
   <= ( ~ ( c2_1 @ a272 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl893]) ).

thf('94',plain,
    ( ( c2_1 @ a272 )
    | ( c1_1 @ a272 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp5
    | ( c0_1 @ a272 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ( c0_1 @ a272 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a272 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ ( c1_1 @ a272 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1656,plain,
    ( ( c2_1 @ a272 )
   <= ( c2_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf(zip_derived_cl266_033,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1659,plain,
    ( ( ( c1_1 @ a272 )
      | ~ ( c0_1 @ a272 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
      & ( c2_1 @ a272 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1656,zip_derived_cl266]) ).

thf('97',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ~ ( c2_1 @ a272 )
    | ( c1_1 @ a272 )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl1659]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp0
    | ( c0_1 @ a267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c0_1 @ a267 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ~ ( c2_1 @ a267 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ~ ( c3_1 @ a267 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf('101',plain,
    ( hskp0
    | ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp9
    | ( c2_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( c2_1 @ a280 )
   <= ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl266_034,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1467,plain,
    ( ( ( c1_1 @ a280 )
      | ~ ( c0_1 @ a280 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
      & ( c2_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl266]) ).

thf('102',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ~ ( c0_1 @ a280 )
    | ( c1_1 @ a280 )
    | ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf(zip_derived_cl30,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ( c2_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( hskp7
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i] :
      ( ( c0_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | hskp1
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl505_035,plain,
    ( ~ ( c3_1 @ a303 )
   <= ~ ( c3_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1734,plain,
    ( ( ~ ( c2_1 @ a303 )
      | ( c0_1 @ a303 ) )
   <= ( ~ ( c3_1 @ a303 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl505]) ).

thf('104',plain,
    ( ( c0_1 @ a303 )
    | ( c3_1 @ a303 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl1734]) ).

thf('105',plain,
    ( ( c2_1 @ a303 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('106',plain,
    ( ~ ( c3_1 @ a303 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl230_036,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl505_037,plain,
    ( ~ ( c3_1 @ a303 )
   <= ~ ( c3_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl713,plain,
    ( ( ~ ( c2_1 @ a303 )
      | ~ ( c0_1 @ a303 ) )
   <= ( ~ ( c3_1 @ a303 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl505]) ).

thf('107',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a303 )
    | ( c3_1 @ a303 )
    | ~ ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl713]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp22
    | ( c0_1 @ a311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c0_1 @ a311 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('109',plain,
    ( ( c2_1 @ a311 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a311 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl230_038,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl481_039,plain,
    ( ~ ( c3_1 @ a311 )
   <= ~ ( c3_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl715,plain,
    ( ( ~ ( c2_1 @ a311 )
      | ~ ( c0_1 @ a311 ) )
   <= ( ~ ( c3_1 @ a311 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl481]) ).

thf('111',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a311 )
    | ( c3_1 @ a311 )
    | ~ ( c0_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl715]) ).

thf('112',plain,
    ( hskp21
    | hskp24
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp24
    | ( c2_1 @ a318 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl461,plain,
    ( ( c2_1 @ a318 )
   <= ( c2_1 @ a318 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl266_040,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1288,plain,
    ( ( ( c1_1 @ a318 )
      | ~ ( c0_1 @ a318 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
      & ( c2_1 @ a318 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl266]) ).

thf('113',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ~ ( c0_1 @ a318 )
    | ( c1_1 @ a318 )
    | ~ ( c2_1 @ a318 ) ),
    inference(split,[status(esa)],[zip_derived_cl1288]) ).

thf('114',plain,
    ( ( c2_1 @ a318 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a318 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ~ ( c1_1 @ a318 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a318 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ ( c3_1 @ a318 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl325_041,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl465,plain,
    ( ~ ( c3_1 @ a318 )
   <= ~ ( c3_1 @ a318 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1738,plain,
    ( ( ~ ( c2_1 @ a318 )
      | ( c0_1 @ a318 ) )
   <= ( ~ ( c3_1 @ a318 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl465]) ).

thf('117',plain,
    ( ( c0_1 @ a318 )
    | ( c3_1 @ a318 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a318 ) ),
    inference(split,[status(esa)],[zip_derived_cl1738]) ).

thf(zip_derived_cl46,plain,
    ! [X60: $i] :
      ( ( c0_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl230_042,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl497_043,plain,
    ( ~ ( c3_1 @ a305 )
   <= ~ ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl714,plain,
    ( ( ~ ( c2_1 @ a305 )
      | ~ ( c0_1 @ a305 ) )
   <= ( ~ ( c3_1 @ a305 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl497]) ).

thf(zip_derived_cl729,plain,
    ( ~ ( c2_1 @ a305 )
   <= ~ ( c2_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl714]) ).

thf(zip_derived_cl1933,plain,
    ( ( ~ ( c1_1 @ a305 )
      | ( c0_1 @ a305 ) )
   <= ( ~ ( c2_1 @ a305 )
      & ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl729]) ).

thf('118',plain,
    ( ( c2_1 @ a305 )
    | ( c0_1 @ a305 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
    | ~ ( c1_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl1933]) ).

thf(zip_derived_cl325_044,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl497_045,plain,
    ( ~ ( c3_1 @ a305 )
   <= ~ ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1735,plain,
    ( ( ~ ( c2_1 @ a305 )
      | ( c0_1 @ a305 ) )
   <= ( ~ ( c3_1 @ a305 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl497]) ).

thf('119',plain,
    ( ( c0_1 @ a305 )
    | ~ ( c2_1 @ a305 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ( c3_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl1735]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp21
    | ( c2_1 @ a307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c2_1 @ a307 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp21
    | ( c0_1 @ a307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ( c0_1 @ a307 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ ( c1_1 @ a307 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl487,plain,
    ( ( c2_1 @ a307 )
   <= ( c2_1 @ a307 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl266_046,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1318,plain,
    ( ( ( c1_1 @ a307 )
      | ~ ( c0_1 @ a307 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
      & ( c2_1 @ a307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl266]) ).

thf('123',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 ) )
    | ~ ( c0_1 @ a307 )
    | ( c1_1 @ a307 )
    | ~ ( c2_1 @ a307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1318]) ).

thf(zip_derived_cl262_047,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c3_1 @ a267 )
   <= ~ ( c3_1 @ a267 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl980,plain,
    ( ( ~ ( c0_1 @ a267 )
      | ( c2_1 @ a267 ) )
   <= ( ~ ( c3_1 @ a267 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl657]) ).

thf('124',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ( c3_1 @ a267 )
    | ( c2_1 @ a267 )
    | ~ ( c0_1 @ a267 ) ),
    inference(split,[status(esa)],[zip_derived_cl980]) ).

thf('125',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl583_048,plain,
    ( ( c3_1 @ a280 )
   <= ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl259_049,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( c1_1 @ a280 )
      | ~ ( c0_1 @ a280 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl259]) ).

thf('126',plain,
    ( ( c1_1 @ a280 )
    | ~ ( c3_1 @ a280 )
    | ~ ( c0_1 @ a280 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf(zip_derived_cl581_050,plain,
    ( ( c2_1 @ a280 )
   <= ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl380_051,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1820,plain,
    ( ( ( c0_1 @ a280 )
      | ( c1_1 @ a280 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ( c2_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl380]) ).

thf('127',plain,
    ( ( c0_1 @ a280 )
    | ( c1_1 @ a280 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1820]) ).

thf(zip_derived_cl535_052,plain,
    ( ( c3_1 @ a291 )
   <= ( c3_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl214_053,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1411,plain,
    ( ( ~ ( c1_1 @ a291 )
      | ~ ( c2_1 @ a291 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a291 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl214]) ).

thf('128',plain,
    ( ~ ( c1_1 @ a291 )
    | ~ ( c2_1 @ a291 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf('129',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl144,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl2,plain,
    ( hskp0
    | hskp19
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( hskp0
    | hskp19
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl262_054,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl457,plain,
    ( ~ ( c3_1 @ a352 )
   <= ~ ( c3_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl991,plain,
    ( ( ~ ( c0_1 @ a352 )
      | ( c2_1 @ a352 ) )
   <= ( ~ ( c3_1 @ a352 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl457]) ).

thf('134',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ~ ( c0_1 @ a352 )
    | ( c2_1 @ a352 )
    | ( c3_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl356_055,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl455_056,plain,
    ( ~ ( c2_1 @ a352 )
   <= ~ ( c2_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1937,plain,
    ( ( ~ ( c1_1 @ a352 )
      | ( c0_1 @ a352 ) )
   <= ( ~ ( c2_1 @ a352 )
      & ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl455]) ).

thf('135',plain,
    ( ( c0_1 @ a352 )
    | ~ ( c1_1 @ a352 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
    | ( c2_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl1937]) ).

thf(zip_derived_cl297_057,plain,
    ( ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c2_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c1_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl457_058,plain,
    ( ~ ( c3_1 @ a352 )
   <= ~ ( c3_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl1357,plain,
    ( ( ~ ( c1_1 @ a352 )
      | ( c2_1 @ a352 ) )
   <= ( ~ ( c3_1 @ a352 )
      & ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl457]) ).

thf('136',plain,
    ( ~ ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ( c2_1 @ a352 )
    | ( c3_1 @ a352 )
    | ~ ( c1_1 @ a352 ) ),
    inference(split,[status(esa)],[zip_derived_cl1357]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp25
    | ( c1_1 @ a352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c1_1 @ a352 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('138',plain,
    ( ~ ( c2_1 @ a352 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('139',plain,
    ( ~ ( c3_1 @ a352 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl1,plain,
    ( hskp14
    | hskp25
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( hskp25
    | hskp12
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp1
    | ( c3_1 @ a268 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ( c3_1 @ a268 )
   <= ( c3_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl367_059,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1777,plain,
    ( ( ( c0_1 @ a268 )
      | ( c1_1 @ a268 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ( c3_1 @ a268 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl367]) ).

thf('141',plain,
    ( ( c1_1 @ a268 )
    | ( c0_1 @ a268 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c3_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl1777]) ).

thf(zip_derived_cl37,plain,
    ! [X43: $i,X44: $i,X45: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0
      | ( c1_1 @ X44 )
      | ( c3_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ndr1_0
      | ( c3_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl583_060,plain,
    ( ( c3_1 @ a280 )
   <= ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl246_061,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ~ ( c2_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1471,plain,
    ( ( ( c1_1 @ a280 )
      | ~ ( c2_1 @ a280 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a280 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl246]) ).

thf('143',plain,
    ( ( c1_1 @ a280 )
    | ~ ( c3_1 @ a280 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf('144',plain,
    ( ( c2_1 @ a280 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('145',plain,
    ( ( c3_1 @ a280 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a280 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('147',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
    | hskp5
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('148',plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
    | hskp9
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp14
    | ( c1_1 @ a287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c1_1 @ a287 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a287 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a287 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a287 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl356_062,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl545,plain,
    ( ~ ( c2_1 @ a287 )
   <= ~ ( c2_1 @ a287 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1927,plain,
    ( ( ~ ( c1_1 @ a287 )
      | ( c0_1 @ a287 ) )
   <= ( ~ ( c2_1 @ a287 )
      & ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl545]) ).

thf('152',plain,
    ( ( c0_1 @ a287 )
    | ( c2_1 @ a287 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
    | ~ ( c1_1 @ a287 ) ),
    inference(split,[status(esa)],[zip_derived_cl1927]) ).

thf(zip_derived_cl39,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp12
    | ( c2_1 @ a284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c2_1 @ a284 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a284 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a284 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a284 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl325_063,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( c3_1 @ a284 )
   <= ~ ( c3_1 @ a284 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1733,plain,
    ( ( ~ ( c2_1 @ a284 )
      | ( c0_1 @ a284 ) )
   <= ( ~ ( c3_1 @ a284 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl561]) ).

thf('157',plain,
    ( ( c0_1 @ a284 )
    | ( c3_1 @ a284 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a284 ) ),
    inference(split,[status(esa)],[zip_derived_cl1733]) ).

thf('158',plain,
    ( ( c3_1 @ a268 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a268 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ ( c1_1 @ a268 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('160',plain,
    ( ~ ( c2_1 @ a268 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl645_064,plain,
    ( ( c3_1 @ a268 )
   <= ( c3_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl278_065,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1595,plain,
    ( ( ( c1_1 @ a268 )
      | ( c2_1 @ a268 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a268 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl278]) ).

thf('161',plain,
    ( ( c1_1 @ a268 )
    | ( c2_1 @ a268 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl1595]) ).

thf(zip_derived_cl56,plain,
    ! [X78: $i,X79: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl278_066,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl2062,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl278]) ).

thf(zip_derived_cl2093,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2062]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a313 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a313 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl631_067,plain,
    ( ( c3_1 @ a270 )
   <= ( c3_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl222_068,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1538,plain,
    ( ( ~ ( c0_1 @ a270 )
      | ~ ( c1_1 @ a270 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a270 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl222]) ).

thf('164',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a270 )
    | ~ ( c3_1 @ a270 )
    | ~ ( c0_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl1538]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp3
    | ( c0_1 @ a270 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c0_1 @ a270 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp2
    | ( c0_1 @ a269 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c0_1 @ a269 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a269 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a269 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a269 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a269 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl290_069,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c2_1 @ a269 )
   <= ~ ( c2_1 @ a269 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1211,plain,
    ( ( ~ ( c0_1 @ a269 )
      | ( c1_1 @ a269 ) )
   <= ( ~ ( c2_1 @ a269 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl641]) ).

thf('169',plain,
    ( ( c1_1 @ a269 )
    | ( c2_1 @ a269 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a269 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl396_070,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a271 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ~ ( c3_1 @ a271 )
   <= ~ ( c3_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl2068,plain,
    ( ( ( c1_1 @ a271 )
      | ( c0_1 @ a271 ) )
   <= ( ~ ( c3_1 @ a271 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl625]) ).

thf('170',plain,
    ( ( c0_1 @ a271 )
    | ( c1_1 @ a271 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c3_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl2068]) ).

thf(zip_derived_cl48,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ndr1_0
      | ( c0_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl625_071,plain,
    ( ~ ( c3_1 @ a271 )
   <= ~ ( c3_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1987,plain,
    ( ( ( c2_1 @ a271 )
      | ( c0_1 @ a271 ) )
   <= ( ~ ( c3_1 @ a271 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl625]) ).

thf('171',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c3_1 @ X63 ) )
    | ( c0_1 @ a271 )
    | ( c3_1 @ a271 )
    | ( c2_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl1987]) ).

thf(zip_derived_cl325_072,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl625_073,plain,
    ( ~ ( c3_1 @ a271 )
   <= ~ ( c3_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1729,plain,
    ( ( ~ ( c2_1 @ a271 )
      | ( c0_1 @ a271 ) )
   <= ( ~ ( c3_1 @ a271 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl625]) ).

thf('172',plain,
    ( ( c0_1 @ a271 )
    | ( c3_1 @ a271 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl1729]) ).

thf(zip_derived_cl51,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c1_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp6
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('174',plain,
    ( ( c2_1 @ a274 )
    | ~ ! [X34: $i] :
          ( ( c2_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c1_1 @ X34 ) )
    | ( c3_1 @ a274 )
    | ~ ( c1_1 @ a274 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf('175',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('176',plain,
    ( hskp19
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('177',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp1
    | ~ ndr1_0
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf('178',plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('179',plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a268 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('180',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('181',plain,
    ( ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ( c1_1 @ a303 )
    | ( c3_1 @ a303 )
    | ~ ( c2_1 @ a303 ) ),
    inference(split,[status(esa)],[zip_derived_cl919]) ).

thf('182',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a276 )
    | ~ ( c3_1 @ a276 )
    | ~ ( c1_1 @ a276 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf('183',plain,
    ( ( c1_1 @ a311 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ( c3_1 @ a311 )
    | ~ ( c0_1 @ a311 ) ),
    inference(split,[status(esa)],[zip_derived_cl1083]) ).

thf('184',plain,
    ( ( c2_1 @ a273 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('185',plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a273 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf('186',plain,
    ( hskp27
    | hskp19
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('187',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ( c1_1 @ a272 )
    | ( c3_1 @ a272 )
    | ~ ( c0_1 @ a272 ) ),
    inference(split,[status(esa)],[zip_derived_cl1077]) ).

thf('188',plain,
    ( hskp24
    | hskp21
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf('189',plain,
    ( ( c1_1 @ a280 )
    | ~ ( c0_1 @ a280 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf('190',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a291 )
    | ~ ( c2_1 @ a291 )
    | ~ ( c3_1 @ a291 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf('191',plain,
    ( ( c1_1 @ a280 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ~ ( c2_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a280 )
    | ~ ( c2_1 @ a280 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a271 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a271 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('194',plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a271 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf('195',plain,
    ( hskp3
    | hskp4
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl290_074,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl633,plain,
    ( ~ ( c2_1 @ a270 )
   <= ~ ( c2_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1212,plain,
    ( ( ~ ( c0_1 @ a270 )
      | ( c1_1 @ a270 ) )
   <= ( ~ ( c2_1 @ a270 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl633]) ).

thf('196',plain,
    ( ( c1_1 @ a270 )
    | ( c2_1 @ a270 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a270 ) ),
    inference(split,[status(esa)],[zip_derived_cl1212]) ).

thf('197',plain,
    ( hskp23
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ ( c1_1 @ a313 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl290_075,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl471,plain,
    ( ~ ( c2_1 @ a313 )
   <= ~ ( c2_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1225,plain,
    ( ( ~ ( c0_1 @ a313 )
      | ( c1_1 @ a313 ) )
   <= ( ~ ( c2_1 @ a313 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl471]) ).

thf('199',plain,
    ( ~ ( c0_1 @ a313 )
    | ( c1_1 @ a313 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ( c2_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl1225]) ).

thf(zip_derived_cl363_076,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c3_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c3_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl473,plain,
    ( ~ ( c3_1 @ a313 )
   <= ~ ( c3_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1995,plain,
    ( ( ( c2_1 @ a313 )
      | ( c0_1 @ a313 ) )
   <= ( ~ ( c3_1 @ a313 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c3_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl473]) ).

thf('200',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c3_1 @ X63 ) )
    | ( c0_1 @ a313 )
    | ( c3_1 @ a313 )
    | ( c2_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl1995]) ).

thf('201',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c3_1 @ X63 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('202',plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ( c3_1 @ X78 ) ),
    inference('sat_resolution*',[status(thm)],['162','163','164','165','166','167','168','169','170','171','172','6','173','7','8','9','10','11','12','13','14','16','17','174','19','20','175','23','24','25','26','27','28','176','30','31','32','33','34','35','36','37','38','39','40','177','158','178','179','161','180','181','44','182','46','183','48','49','50','51','184','185','53','54','55','56','57','58','59','186','61','62','63','187','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','188','113','114','115','116','117','154','155','156','157','118','119','120','121','122','123','124','125','189','127','190','129','130','131','132','133','134','135','136','137','138','139','140','141','142','191','144','145','146','147','148','149','150','151','152','153','192','193','194','195','21','196','15','197','198','199','200','201']) ).

thf(zip_derived_cl7865,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl2093,'202']) ).

thf(zip_derived_cl449,plain,
    ( ~ ( c2_1 @ a356 )
   <= ~ ( c2_1 @ a356 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl7897,plain,
    ( ( ( c1_1 @ a356 )
      | ( c0_1 @ a356 ) )
   <= ( ~ ( c2_1 @ a356 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7865,zip_derived_cl449]) ).

thf('203',plain,
    ( ( c0_1 @ a356 )
    | ( c1_1 @ a356 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c2_1 @ a356 ) ),
    inference(split,[status(esa)],[zip_derived_cl7897]) ).

thf('204',plain,
    ( hskp8
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a275 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ~ ( c0_1 @ a275 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl356_077,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c2_1 @ X60 )
        | ~ ( c1_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl591,plain,
    ( ~ ( c2_1 @ a275 )
   <= ~ ( c2_1 @ a275 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1922,plain,
    ( ( ~ ( c1_1 @ a275 )
      | ( c0_1 @ a275 ) )
   <= ( ~ ( c2_1 @ a275 )
      & ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl591]) ).

thf('206',plain,
    ( ~ ( c1_1 @ a275 )
    | ( c0_1 @ a275 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c2_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
    | ( c2_1 @ a275 ) ),
    inference(split,[status(esa)],[zip_derived_cl1922]) ).

thf(zip_derived_cl396_078,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl367_079,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl2066,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl367]) ).

thf(zip_derived_cl2096,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2066]) ).

thf('207',plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ( c3_1 @ X78 ) ),
    inference('sat_resolution*',[status(thm)],['162','163','164','165','166','167','168','169','170','171','172','6','173','7','8','9','10','11','12','13','14','16','17','174','19','20','175','23','24','25','26','27','28','176','30','31','32','33','34','35','36','37','38','39','40','177','158','178','179','161','180','181','44','182','46','183','48','49','50','51','184','185','53','54','55','56','57','58','59','186','61','62','63','187','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','188','113','114','115','116','117','154','155','156','157','118','119','120','121','122','123','124','125','189','127','190','129','130','131','132','133','134','135','136','137','138','139','140','141','142','191','144','145','146','147','148','149','150','151','152','153','192','193','194','195','21','196','15','197','198','199','200','201']) ).

thf(zip_derived_cl7834,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl2096,'207']) ).

thf(zip_derived_cl589,plain,
    ( ~ ( c0_1 @ a275 )
   <= ~ ( c0_1 @ a275 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl7917,plain,
    ( ( c1_1 @ a275 )
   <= ( ~ ( c0_1 @ a275 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7834,zip_derived_cl589]) ).

thf(zip_derived_cl16,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp28
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a275 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c3_1 @ a275 )
   <= ~ ( c3_1 @ a275 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl762,plain,
    ( ( ~ ( c1_1 @ a275 )
      | ~ ( c0_1 @ a275 ) )
   <= ( ~ ( c3_1 @ a275 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl593]) ).

thf(zip_derived_cl803,plain,
    ( ~ ( c1_1 @ a275 )
   <= ~ ( c1_1 @ a275 ) ),
    inference(split,[status(esa)],[zip_derived_cl762]) ).

thf('208',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c1_1 @ a275 )
    | ( c0_1 @ a275 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7917,zip_derived_cl803]) ).

thf('209',plain,
    ( hskp6
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl57,plain,
    ! [X80: $i] :
      ( ( c0_1 @ X80 )
      | ( c1_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ( c2_1 @ X80 ) )
   <= ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ( c2_1 @ X80 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl380_080,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl2100,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ( c2_1 @ X80 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl380]) ).

thf(zip_derived_cl2157,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ! [X80: $i] :
          ( ( c0_1 @ X80 )
          | ( c1_1 @ X80 )
          | ( c2_1 @ X80 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2100]) ).

thf(zip_derived_cl32,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl473_081,plain,
    ( ~ ( c3_1 @ a313 )
   <= ~ ( c3_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1509,plain,
    ( ( ( c2_1 @ a313 )
      | ( c1_1 @ a313 ) )
   <= ( ~ ( c3_1 @ a313 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl473]) ).

thf('210',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ( c3_1 @ X35 ) )
    | ( c1_1 @ a313 )
    | ( c2_1 @ a313 )
    | ( c3_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl1509]) ).

thf(zip_derived_cl59,plain,
    ! [X84: $i,X85: $i,X86: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ndr1_0
      | ( c1_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c1_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ! [X80: $i] :
        ( ( c0_1 @ X80 )
        | ( c1_1 @ X80 )
        | ( c2_1 @ X80 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ( c3_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('212',plain,
    ! [X80: $i] :
      ( ( c0_1 @ X80 )
      | ( c1_1 @ X80 )
      | ( c2_1 @ X80 ) ),
    inference('sat_resolution*',[status(thm)],['162','163','164','165','166','167','168','169','170','171','172','6','173','7','8','9','10','11','12','13','14','16','17','174','19','20','175','23','24','25','26','27','28','176','30','31','32','33','34','35','36','37','38','39','40','177','158','178','179','161','180','181','44','182','46','183','48','49','50','51','184','185','53','54','55','56','57','58','59','186','61','62','63','187','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','188','113','114','115','116','117','154','155','156','157','118','119','120','121','122','123','124','125','189','127','190','129','130','131','132','133','134','135','136','137','138','139','140','141','142','191','144','145','146','147','148','149','150','151','152','153','192','193','194','201','195','21','196','15','197','198','210','211']) ).

thf(zip_derived_cl7835,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl2157,'212']) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c0_1 @ a273 )
   <= ~ ( c0_1 @ a273 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl7943,plain,
    ( ( c1_1 @ a273 )
   <= ( ~ ( c0_1 @ a273 )
      & ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7835,zip_derived_cl609]) ).

thf(zip_derived_cl258_082,plain,
    ( ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl214_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_cl10]) ).

thf(zip_derived_cl909,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl214]) ).

thf(zip_derived_cl937,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl909]) ).

thf(zip_derived_cl607_084,plain,
    ( ( c2_1 @ a273 )
   <= ( c2_1 @ a273 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl2188,plain,
    ( ~ ( c1_1 @ a273 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
      & ( c2_1 @ a273 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl607]) ).

thf('213',plain,
    ( ~ ( c2_1 @ a273 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ! [X15: $i] :
          ( ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ( c0_1 @ a273 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7943,zip_derived_cl2188]) ).

thf(zip_derived_cl8398,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','203','204','205','206','208','209','184','213']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN462+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LRUczEu5Co true
% 0.16/0.36  % Computer : n031.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 17:42:38 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.69  % Total configuration time : 435
% 0.23/0.69  % Estimated wc time : 1092
% 0.23/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.35/2.35  % Solved by fo/fo1_av.sh.
% 9.35/2.35  % done 2409 iterations in 1.386s
% 9.35/2.35  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.35/2.35  % SZS output start Refutation
% See solution above
% 9.35/2.36  
% 9.35/2.36  
% 9.35/2.36  % Terminating...
% 9.72/2.48  % Runner terminated.
% 9.76/2.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------