TSTP Solution File: SYN445+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN445+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mVpbwlfpUQ true

% Computer : n012.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 04:03:32 EDT 2023

% Result   : Theorem 2.62s 1.49s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  459 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 2929 (   0 equ;   0 cnn)
%            Maximal formula atoms :  606 (   7 avg)
%            Number of connectives : 6084 (1371   ~;1777   |; 411   &;2178   @)
%                                         (   0 <=>; 188  =>; 159  <=;   0 <~>)
%            Maximal formula depth :   93 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  491 (   0   ^; 491   !;   0   ?; 491   :)

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

thf(a299_type,type,
    a299: $i ).

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

thf(a309_type,type,
    a309: $i ).

thf(a341_type,type,
    a341: $i ).

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

thf(a321_type,type,
    a321: $i ).

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

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

thf(a294_type,type,
    a294: $i ).

thf(a302_type,type,
    a302: $i ).

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

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

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

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

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

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

thf(a300_type,type,
    a300: $i ).

thf(a330_type,type,
    a330: $i ).

thf(a338_type,type,
    a338: $i ).

thf(a354_type,type,
    a354: $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(a308_type,type,
    a308: $i ).

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

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

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

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

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

thf(a310_type,type,
    a310: $i ).

thf(a329_type,type,
    a329: $i ).

thf(a336_type,type,
    a336: $i ).

thf(a349_type,type,
    a349: $i ).

thf(a323_type,type,
    a323: $i ).

thf(a320_type,type,
    a320: $i ).

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

thf(a333_type,type,
    a333: $i ).

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

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

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

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

thf(a346_type,type,
    a346: $i ).

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

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

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

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

thf(a315_type,type,
    a315: $i ).

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

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

thf(a301_type,type,
    a301: $i ).

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

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

thf(a342_type,type,
    a342: $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(a297_type,type,
    a297: $i ).

thf(a334_type,type,
    a334: $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 @ a294 )
          & ~ ( c2_1 @ a294 )
          & ~ ( c3_1 @ a294 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a295 )
          & ( c2_1 @ a295 )
          & ~ ( c1_1 @ a295 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a297 )
          & ~ ( c0_1 @ a297 )
          & ~ ( c3_1 @ a297 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a299 )
          & ( c3_1 @ a299 )
          & ~ ( c2_1 @ a299 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a300 )
          & ~ ( c1_1 @ a300 )
          & ~ ( c2_1 @ a300 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a301 )
          & ~ ( c1_1 @ a301 )
          & ~ ( c3_1 @ a301 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a302 )
          & ~ ( c1_1 @ a302 )
          & ~ ( c2_1 @ a302 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a303 )
          & ( c1_1 @ a303 )
          & ~ ( c2_1 @ a303 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a305 )
          & ~ ( c0_1 @ a305 )
          & ~ ( c1_1 @ a305 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a307 )
          & ~ ( c1_1 @ a307 )
          & ~ ( c3_1 @ a307 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a308 )
          & ( c3_1 @ a308 )
          & ~ ( c0_1 @ a308 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a309 )
          & ( c3_1 @ a309 )
          & ~ ( c2_1 @ a309 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a310 )
          & ~ ( c0_1 @ a310 )
          & ~ ( c2_1 @ a310 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a313 )
          & ( c3_1 @ a313 )
          & ~ ( c1_1 @ a313 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a315 )
          & ( c2_1 @ a315 )
          & ~ ( c0_1 @ a315 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a320 )
          & ~ ( c0_1 @ a320 )
          & ~ ( c2_1 @ a320 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a321 )
          & ( c3_1 @ a321 )
          & ~ ( c1_1 @ a321 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a323 )
          & ( c2_1 @ a323 )
          & ~ ( c3_1 @ a323 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c2_1 @ a329 )
          & ~ ( c0_1 @ a329 )
          & ~ ( c3_1 @ a329 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a330 )
          & ( c2_1 @ a330 )
          & ~ ( c3_1 @ a330 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a333 )
          & ~ ( c2_1 @ a333 )
          & ~ ( c3_1 @ a333 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a336 )
          & ~ ( c0_1 @ a336 )
          & ~ ( c1_1 @ a336 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c1_1 @ a338 )
          & ~ ( c2_1 @ a338 )
          & ~ ( c3_1 @ a338 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a341 )
          & ( c3_1 @ a341 )
          & ~ ( c0_1 @ a341 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a342 )
          & ~ ( c1_1 @ a342 )
          & ~ ( c2_1 @ a342 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a346 )
          & ~ ( c1_1 @ a346 )
          & ~ ( c3_1 @ a346 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a349 )
          & ~ ( c2_1 @ a349 )
          & ~ ( c3_1 @ a349 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a334 )
          & ( c2_1 @ a334 )
          & ( c3_1 @ a334 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a353 )
          & ( c2_1 @ a353 )
          & ( c3_1 @ a353 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a354 )
          & ( c1_1 @ a354 )
          & ( c2_1 @ a354 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ( c2_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c3_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ~ ( c0_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X3 )
              | ~ ( c1_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp0 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c2_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ~ ( c1_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X11 )
              | ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ~ ( c1_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp1 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ~ ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | hskp0 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | hskp2
        | hskp0 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ~ ( c1_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | hskp3 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ~ ( c0_1 @ X29 )
              | ~ ( c2_1 @ X29 ) ) )
        | hskp4 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp5 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X33 )
              | ~ ( c0_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp6 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | hskp7
        | hskp4 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | hskp8
        | hskp5 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | hskp9 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | hskp10
        | hskp11 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp12 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp8 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c0_1 @ X44 ) ) )
        | hskp12 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp13 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | hskp3 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp14
        | hskp0 )
      & ( ! [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 ) ) )
        | hskp14 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 ) ) )
        | hskp7 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp6
        | hskp15 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | hskp16 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp13 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) )
        | hskp17 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c1_1 @ X61 ) ) )
        | hskp5 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp11
        | hskp16 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp4 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | hskp19
        | hskp12 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | hskp11
        | hskp20 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp27
        | hskp3 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | hskp21 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) ) )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c1_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp17 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c1_1 @ X75 ) ) )
        | hskp22 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) ) )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 ) ) )
        | hskp17
        | hskp4 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 ) ) )
        | hskp23
        | hskp24 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp11 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp4 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp15
        | hskp25 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp6
        | hskp8 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp26
        | hskp23 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp17
        | hskp21 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | hskp28 )
      & ( hskp29
        | hskp27
        | hskp10 )
      & ( hskp7
        | hskp1
        | hskp10 )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( hskp26
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp16 )
      & ( hskp20
        | hskp12
        | hskp25 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a294 )
        & ~ ( c2_1 @ a294 )
        & ~ ( c3_1 @ a294 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a295 )
        & ( c2_1 @ a295 )
        & ~ ( c1_1 @ a295 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a297 )
        & ~ ( c0_1 @ a297 )
        & ~ ( c3_1 @ a297 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a299 )
        & ( c3_1 @ a299 )
        & ~ ( c2_1 @ a299 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a300 )
        & ~ ( c1_1 @ a300 )
        & ~ ( c2_1 @ a300 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a301 )
        & ~ ( c1_1 @ a301 )
        & ~ ( c3_1 @ a301 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a302 )
        & ~ ( c1_1 @ a302 )
        & ~ ( c2_1 @ a302 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a303 )
        & ( c1_1 @ a303 )
        & ~ ( c2_1 @ a303 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a305 )
        & ~ ( c0_1 @ a305 )
        & ~ ( c1_1 @ a305 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a307 )
        & ~ ( c1_1 @ a307 )
        & ~ ( c3_1 @ a307 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a308 )
        & ( c3_1 @ a308 )
        & ~ ( c0_1 @ a308 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a309 )
        & ( c3_1 @ a309 )
        & ~ ( c2_1 @ a309 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a310 )
        & ~ ( c0_1 @ a310 )
        & ~ ( c2_1 @ a310 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a313 )
        & ( c3_1 @ a313 )
        & ~ ( c1_1 @ a313 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a315 )
        & ( c2_1 @ a315 )
        & ~ ( c0_1 @ a315 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a320 )
        & ~ ( c0_1 @ a320 )
        & ~ ( c2_1 @ a320 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a321 )
        & ( c3_1 @ a321 )
        & ~ ( c1_1 @ a321 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a323 )
        & ( c2_1 @ a323 )
        & ~ ( c3_1 @ a323 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c2_1 @ a329 )
        & ~ ( c0_1 @ a329 )
        & ~ ( c3_1 @ a329 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a330 )
        & ( c2_1 @ a330 )
        & ~ ( c3_1 @ a330 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a333 )
        & ~ ( c2_1 @ a333 )
        & ~ ( c3_1 @ a333 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a336 )
        & ~ ( c0_1 @ a336 )
        & ~ ( c1_1 @ a336 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c1_1 @ a338 )
        & ~ ( c2_1 @ a338 )
        & ~ ( c3_1 @ a338 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a341 )
        & ( c3_1 @ a341 )
        & ~ ( c0_1 @ a341 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a342 )
        & ~ ( c1_1 @ a342 )
        & ~ ( c2_1 @ a342 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a346 )
        & ~ ( c1_1 @ a346 )
        & ~ ( c3_1 @ a346 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a349 )
        & ~ ( c2_1 @ a349 )
        & ~ ( c3_1 @ a349 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a334 )
        & ( c2_1 @ a334 )
        & ( c3_1 @ a334 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a353 )
        & ( c2_1 @ a353 )
        & ( c3_1 @ a353 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a354 )
        & ( c1_1 @ a354 )
        & ( c2_1 @ a354 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ( c2_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c3_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ~ ( c0_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X3 )
            | ~ ( c1_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp0 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c2_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ~ ( c1_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X11 )
            | ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ~ ( c1_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp1 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ~ ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | hskp0 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | hskp2
      | hskp0 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ~ ( c1_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | hskp3 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ~ ( c0_1 @ X29 )
            | ~ ( c2_1 @ X29 ) ) )
      | hskp4 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp5 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X33 )
            | ~ ( c0_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp6 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | hskp7
      | hskp4 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | hskp8
      | hskp5 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | hskp9 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | hskp10
      | hskp11 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp12 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp8 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c0_1 @ X44 ) ) )
      | hskp12 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp13 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | hskp3 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp14
      | hskp0 )
    & ( ! [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 ) ) )
      | hskp14 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 ) ) )
      | hskp7 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp6
      | hskp15 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | hskp16 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp13 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) )
      | hskp17 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c1_1 @ X61 ) ) )
      | hskp5 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp11
      | hskp16 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp4 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | hskp19
      | hskp12 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | hskp11
      | hskp20 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp27
      | hskp3 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | hskp21 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) ) )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c1_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp17 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c1_1 @ X75 ) ) )
      | hskp22 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) ) )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 ) ) )
      | hskp17
      | hskp4 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 ) ) )
      | hskp23
      | hskp24 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp11 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp4 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp15
      | hskp25 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp6
      | hskp8 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp26
      | hskp23 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp17
      | hskp21 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl20,plain,
    ! [X19: $i] :
      ( ( c2_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl249,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl485,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl933,plain,
    ( ( ~ ( c0_1 @ a333 )
      | ( c2_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl485]) ).

thf('0',plain,
    ( ~ ( c0_1 @ a333 )
    | ( c3_1 @ a333 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 ) )
    | ( c2_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl933]) ).

thf(zip_derived_cl0,plain,
    ( hskp20
    | hskp12
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( hskp20
    | hskp25
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl39,plain,
    ! [X48: $i,X49: $i] :
      ( ( c0_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0
      | ( c2_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c3_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
    | hskp12
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl49,plain,
    ! [X66: $i,X67: $i,X68: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ndr1_0
      | ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl445,plain,
    ( ~ ( c3_1 @ a346 )
   <= ~ ( c3_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1956,plain,
    ( ( ( c2_1 @ a346 )
      | ( c0_1 @ a346 ) )
   <= ( ~ ( c3_1 @ a346 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl445]) ).

thf('3',plain,
    ( ( c2_1 @ a346 )
    | ( c0_1 @ a346 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c3_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl1956]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ~ ( c0_1 @ a346 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c1_1 @ a346 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('6',plain,
    ( ~ ( c3_1 @ a346 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl52,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c1_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl441,plain,
    ( ~ ( c0_1 @ a346 )
   <= ~ ( c0_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl1886,plain,
    ( ( ~ ( c2_1 @ a346 )
      | ( c1_1 @ a346 ) )
   <= ( ~ ( c0_1 @ a346 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl441]) ).

thf('7',plain,
    ( ~ ( c2_1 @ a346 )
    | ( c0_1 @ a346 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) )
    | ( c1_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl1886]) ).

thf(zip_derived_cl324,plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c3_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c3_1 @ X48 )
        | ~ ( c1_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl485_001,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1658,plain,
    ( ( ~ ( c1_1 @ a333 )
      | ( c0_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c3_1 @ X48 )
          | ~ ( c1_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl485]) ).

thf('8',plain,
    ( ( c3_1 @ a333 )
    | ( c0_1 @ a333 )
    | ~ ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c3_1 @ X48 )
          | ~ ( c1_1 @ X48 ) )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1658]) ).

thf(zip_derived_cl51,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c1_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c2_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
    | hskp0
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ~ ( c3_1 @ a294 )
   <= ~ ( c3_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl17,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl885,plain,
    ( ( ( c2_1 @ a294 )
      | ~ ( c1_1 @ a294 ) )
   <= ( ~ ( c3_1 @ a294 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl645,zip_derived_cl238]) ).

thf('10',plain,
    ( ~ ( c1_1 @ a294 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a294 )
    | ( c3_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp23
    | ( c3_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl459,plain,
    ( ( c3_1 @ a341 )
   <= ( c3_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl34,plain,
    ! [X39: $i] :
      ( ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | hskp14
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    ( ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1426,plain,
    ( ( ( c0_1 @ a341 )
      | ~ ( c2_1 @ a341 ) )
   <= ( ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
      & ( c3_1 @ a341 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl303]) ).

thf('11',plain,
    ( ~ ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
    | ~ ( c2_1 @ a341 )
    | ~ ( c3_1 @ a341 )
    | ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf('12',plain,
    ( ( c3_1 @ a341 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl376_002,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl461,plain,
    ( ~ ( c0_1 @ a341 )
   <= ~ ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1885,plain,
    ( ( ~ ( c2_1 @ a341 )
      | ( c1_1 @ a341 ) )
   <= ( ~ ( c0_1 @ a341 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl461]) ).

thf('13',plain,
    ( ( c1_1 @ a341 )
    | ~ ( c2_1 @ a341 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) )
    | ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1885]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp23
    | ( c2_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c2_1 @ a341 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a341 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl36,plain,
    ! [X42: $i,X43: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ndr1_0
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl461_003,plain,
    ( ~ ( c0_1 @ a341 )
   <= ~ ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1559,plain,
    ( ( ~ ( c2_1 @ a341 )
      | ~ ( c1_1 @ a341 ) )
   <= ( ~ ( c0_1 @ a341 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl461]) ).

thf('16',plain,
    ( ~ ( c1_1 @ a341 )
    | ~ ( c2_1 @ a341 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1559]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp15
    | ( c1_1 @ a320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ( c1_1 @ a320 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl42,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ( c2_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | hskp8
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl523,plain,
    ( ~ ( c0_1 @ a320 )
   <= ~ ( c0_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1781,plain,
    ( ( ~ ( c1_1 @ a320 )
      | ( c2_1 @ a320 ) )
   <= ( ~ ( c0_1 @ a320 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl523]) ).

thf('20',plain,
    ( ( c0_1 @ a320 )
    | ( c2_1 @ a320 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ~ ( c1_1 @ a320 ) ),
    inference(split,[status(esa)],[zip_derived_cl1781]) ).

thf(zip_derived_cl376_004,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a301 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( c3_1 @ a301 )
   <= ~ ( c3_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i,X8: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl851,plain,
    ( ( ~ ( c0_1 @ a301 )
      | ~ ( c2_1 @ a301 ) )
   <= ( ~ ( c3_1 @ a301 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl605,zip_derived_cl224]) ).

thf(zip_derived_cl951,plain,
    ( ~ ( c0_1 @ a301 )
   <= ~ ( c0_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl851]) ).

thf(zip_derived_cl1872,plain,
    ( ( ~ ( c2_1 @ a301 )
      | ( c1_1 @ a301 ) )
   <= ( ~ ( c0_1 @ a301 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl951]) ).

thf('21',plain,
    ( ( c0_1 @ a301 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) )
    | ( c1_1 @ a301 )
    | ~ ( c2_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl1872]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp5
    | ( c2_1 @ a301 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ( c2_1 @ a301 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a301 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ~ ( c1_1 @ a301 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('24',plain,
    ( hskp5
    | hskp8
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp8
    | ( c2_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c2_1 @ a305 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ ( c0_1 @ a305 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a305 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a305 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl376_005,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl579,plain,
    ( ~ ( c0_1 @ a305 )
   <= ~ ( c0_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1873,plain,
    ( ( ~ ( c2_1 @ a305 )
      | ( c1_1 @ a305 ) )
   <= ( ~ ( c0_1 @ a305 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl579]) ).

thf('28',plain,
    ( ( c0_1 @ a305 )
    | ( c1_1 @ a305 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) )
    | ~ ( c2_1 @ a305 ) ),
    inference(split,[status(esa)],[zip_derived_cl1873]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i,X47: $i] :
      ( ( c0_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | ( c3_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl320,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_cl605_006,plain,
    ( ~ ( c3_1 @ a301 )
   <= ~ ( c3_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1613,plain,
    ( ( ~ ( c2_1 @ a301 )
      | ( c0_1 @ a301 ) )
   <= ( ~ ( c3_1 @ a301 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl605]) ).

thf(zip_derived_cl4498,plain,
    ( ( c0_1 @ a301 )
   <= ( c0_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl1613]) ).

thf(zip_derived_cl22,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ndr1_0
      | hskp11
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl256,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl4501,plain,
    ( ( ( c1_1 @ a301 )
      | ~ ( c2_1 @ a301 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a301 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4498,zip_derived_cl256]) ).

thf('29',plain,
    ( ~ ( c0_1 @ a301 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c2_1 @ a301 )
    | ( c1_1 @ a301 ) ),
    inference(split,[status(esa)],[zip_derived_cl4501]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp6
    | ( c0_1 @ a302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ( c0_1 @ a302 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ ( c1_1 @ a302 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a302 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ~ ( c2_1 @ a302 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl593,plain,
    ( ( c0_1 @ a302 )
   <= ( c0_1 @ a302 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl33,plain,
    ! [X37: $i,X38: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | ( c2_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1439,plain,
    ( ( ( c1_1 @ a302 )
      | ( c2_1 @ a302 ) )
   <= ( ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
      & ( c0_1 @ a302 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl300]) ).

thf('33',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c0_1 @ a302 )
    | ( c1_1 @ a302 )
    | ( c2_1 @ a302 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i,X17: $i,X18: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | ( c2_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp3
    | ( c3_1 @ a299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ( c3_1 @ a299 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp3
    | ( c0_1 @ a299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ( c0_1 @ a299 )
   <= ( c0_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl300_007,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1455,plain,
    ( ( ( c1_1 @ a299 )
      | ( c2_1 @ a299 ) )
   <= ( ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
      & ( c0_1 @ a299 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl300]) ).

thf('36',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ( c1_1 @ a299 )
    | ( c2_1 @ a299 )
    | ~ ( c0_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1455]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a299 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c2_1 @ a299 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

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

thf('38',plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp27
    | ( c0_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ( c0_1 @ a334 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp27
    | ( c2_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ( c2_1 @ a334 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp27
    | ( c3_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ hskp27
    | ( c3_1 @ a334 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl429,plain,
    ( ( c3_1 @ a334 )
   <= ( c3_1 @ a334 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl223,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1231,plain,
    ( ( ~ ( c0_1 @ a334 )
      | ~ ( c2_1 @ a334 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a334 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl223]) ).

thf('42',plain,
    ( ~ ( c3_1 @ a334 )
    | ~ ( c0_1 @ a334 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a334 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl21,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp27
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp3
    | hskp27
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('44',plain,
    ( ( c0_1 @ a299 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('45',plain,
    ( hskp14
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl56,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ndr1_0
      | ( c2_1 @ X84 )
      | ~ ( c0_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X36: $i] :
        ( ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c1_1 @ X36 ) )
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp4
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp13
    | ( c0_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c0_1 @ a313 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp13
    | ( c3_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c3_1 @ a313 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a313 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c1_1 @ a313 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl539,plain,
    ( ( c3_1 @ a313 )
   <= ( c3_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl268,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1338,plain,
    ( ( ( c1_1 @ a313 )
      | ~ ( c0_1 @ a313 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 ) )
      & ( c3_1 @ a313 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl268]) ).

thf('51',plain,
    ( ~ ( c3_1 @ a313 )
    | ( c1_1 @ a313 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 ) )
    | ~ ( c0_1 @ a313 ) ),
    inference(split,[status(esa)],[zip_derived_cl1338]) ).

thf('52',plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | hskp13
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl335_008,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl485_009,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl224_010,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl744,plain,
    ( ( ~ ( c0_1 @ a333 )
      | ~ ( c2_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c2_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl224]) ).

thf(zip_derived_cl791,plain,
    ( ~ ( c0_1 @ a333 )
   <= ~ ( c0_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl744]) ).

thf(zip_derived_cl1785,plain,
    ( ( ~ ( c1_1 @ a333 )
      | ( c2_1 @ a333 ) )
   <= ( ~ ( c0_1 @ a333 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl791]) ).

thf('53',plain,
    ( ( c0_1 @ a333 )
    | ( c2_1 @ a333 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1785]) ).

thf(zip_derived_cl365_011,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl485_012,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1954,plain,
    ( ( ( c2_1 @ a333 )
      | ( c0_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl485]) ).

thf('54',plain,
    ( ( c0_1 @ a333 )
    | ( c3_1 @ a333 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c2_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1954]) ).

thf(zip_derived_cl485_013,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl14,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl227,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl745,plain,
    ( ( ~ ( c0_1 @ a333 )
      | ~ ( c1_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl485,zip_derived_cl227]) ).

thf('55',plain,
    ( ~ ( c0_1 @ a333 )
    | ( c3_1 @ a333 )
    | ~ ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl745]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp20
    | ( c1_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ( c1_1 @ a333 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c2_1 @ a333 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('58',plain,
    ( ~ ( c3_1 @ a333 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('59',plain,
    ( hskp11
    | hskp20
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('60',plain,
    ( hskp1
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp16
    | ( c3_1 @ a321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl515,plain,
    ( ( c3_1 @ a321 )
   <= ( c3_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl303_014,plain,
    ( ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1424,plain,
    ( ( ( c0_1 @ a321 )
      | ~ ( c2_1 @ a321 ) )
   <= ( ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
      & ( c3_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl303]) ).

thf(zip_derived_cl4157,plain,
    ( ( c0_1 @ a321 )
   <= ( c0_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1424]) ).

thf(zip_derived_cl256_015,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl4160,plain,
    ( ( ( c1_1 @ a321 )
      | ~ ( c2_1 @ a321 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4157,zip_derived_cl256]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a321 )
    | ~ ( c2_1 @ a321 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ( c1_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl4160]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp1
    | ( c0_1 @ a295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ( c0_1 @ a295 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp1
    | ( c2_1 @ a295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ( c2_1 @ a295 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a295 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c1_1 @ a295 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl633,plain,
    ( ( c0_1 @ a295 )
   <= ( c0_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl256_016,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1481,plain,
    ( ( ( c1_1 @ a295 )
      | ~ ( c2_1 @ a295 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a295 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl256]) ).

thf('65',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c2_1 @ a295 )
    | ( c1_1 @ a295 )
    | ~ ( c0_1 @ a295 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl515_017,plain,
    ( ( c3_1 @ a321 )
   <= ( c3_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp17
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl203,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1308,plain,
    ( ( ~ ( c0_1 @ a321 )
      | ~ ( c1_1 @ a321 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl203]) ).

thf(zip_derived_cl2347,plain,
    ( ~ ( c0_1 @ a321 )
   <= ~ ( c0_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1308]) ).

thf(zip_derived_cl376_018,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ~ ( c2_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl2351,plain,
    ( ( ( c1_1 @ a321 )
      | ~ ( c2_1 @ a321 ) )
   <= ( ~ ( c0_1 @ a321 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2347,zip_derived_cl376]) ).

thf('66',plain,
    ( ( c0_1 @ a321 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ~ ( c2_1 @ X72 ) )
    | ( c1_1 @ a321 )
    | ~ ( c2_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl2351]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp12
    | ( c3_1 @ a310 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( c3_1 @ a310 )
   <= ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1348,plain,
    ( ( ( c1_1 @ a310 )
      | ( c2_1 @ a310 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a310 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl288]) ).

thf('67',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c1_1 @ a310 )
    | ( c2_1 @ a310 )
    | ~ ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl1348]) ).

thf(zip_derived_cl545_019,plain,
    ( ( c3_1 @ a310 )
   <= ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl236,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1345,plain,
    ( ( ( c2_1 @ a310 )
      | ~ ( c1_1 @ a310 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a310 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl236]) ).

thf('68',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a310 )
    | ( c2_1 @ a310 )
    | ~ ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl1345]) ).

thf(zip_derived_cl37,plain,
    ! [X44: $i,X45: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | ( c2_1 @ X45 )
      | ( c3_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
    | hskp12
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl335_020,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c0_1 @ a294 )
   <= ~ ( c0_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1772,plain,
    ( ( ~ ( c1_1 @ a294 )
      | ( c2_1 @ a294 ) )
   <= ( ~ ( c0_1 @ a294 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl641]) ).

thf('70',plain,
    ( ~ ( c1_1 @ a294 )
    | ( c0_1 @ a294 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ( c2_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl1772]) ).

thf(zip_derived_cl55,plain,
    ! [X80: $i,X81: $i,X82: $i] :
      ( ( c0_1 @ X80 )
      | ( c1_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ndr1_0
      | ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ndr1_0
      | ( c0_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ( c3_1 @ X77 ) )
    | ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('72',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp21
    | ( c3_1 @ a336 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ( c3_1 @ a336 )
   <= ( c3_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl252,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1274,plain,
    ( ( ( c1_1 @ a336 )
      | ~ ( c2_1 @ a336 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a336 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl252]) ).

thf('73',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a336 )
    | ~ ( c3_1 @ a336 )
    | ( c1_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl1274]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a336 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c1_1 @ a336 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1,plain,
    ( hskp26
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( hskp16
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp16
    | ( c2_1 @ a321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c2_1 @ a321 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c1_1 @ a321 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl515_021,plain,
    ( ( c3_1 @ a321 )
   <= ( c3_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl252_022,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1311,plain,
    ( ( ( c1_1 @ a321 )
      | ~ ( c2_1 @ a321 ) )
   <= ( ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl252]) ).

thf('78',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a321 )
    | ( c1_1 @ a321 )
    | ~ ( c2_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1311]) ).

thf(zip_derived_cl473_023,plain,
    ( ( c3_1 @ a336 )
   <= ( c3_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl288_024,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1276,plain,
    ( ( ( c1_1 @ a336 )
      | ( c2_1 @ a336 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a336 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl288]) ).

thf('79',plain,
    ( ( c2_1 @ a336 )
    | ~ ( c3_1 @ a336 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c1_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl1276]) ).

thf(zip_derived_cl365_025,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl645_026,plain,
    ( ~ ( c3_1 @ a294 )
   <= ~ ( c3_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1947,plain,
    ( ( ( c2_1 @ a294 )
      | ( c0_1 @ a294 ) )
   <= ( ~ ( c3_1 @ a294 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl645]) ).

thf('80',plain,
    ( ( c0_1 @ a294 )
    | ( c2_1 @ a294 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c3_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl1947]) ).

thf('81',plain,
    ( ~ ( c0_1 @ a294 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a294 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c2_1 @ a294 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('83',plain,
    ( ~ ( c3_1 @ a294 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('84',plain,
    ( hskp14
    | ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl473_027,plain,
    ( ( c3_1 @ a336 )
   <= ( c3_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl303_028,plain,
    ( ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c2_1 @ X39 )
        | ~ ( c3_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1425,plain,
    ( ( ( c0_1 @ a336 )
      | ~ ( c2_1 @ a336 ) )
   <= ( ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
      & ( c3_1 @ a336 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl303]) ).

thf('85',plain,
    ( ~ ( c2_1 @ a336 )
    | ~ ( c3_1 @ a336 )
    | ~ ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c2_1 @ X39 )
          | ~ ( c3_1 @ X39 ) )
    | ( c0_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl1425]) ).

thf(zip_derived_cl473_029,plain,
    ( ( c3_1 @ a336 )
   <= ( c3_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl40,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl327,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1704,plain,
    ( ( ( c0_1 @ a336 )
      | ( c2_1 @ a336 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a336 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl327]) ).

thf('86',plain,
    ( ( c2_1 @ a336 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a336 )
    | ( c0_1 @ a336 ) ),
    inference(split,[status(esa)],[zip_derived_cl1704]) ).

thf('87',plain,
    ( ( c3_1 @ a336 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a336 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ ( c0_1 @ a336 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('89',plain,
    ( hskp21
    | ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp26
    | ( c0_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c0_1 @ a349 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c2_1 @ a349 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c3_1 @ a349 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl249_030,plain,
    ( ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c2_1 @ X19 )
        | ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl437,plain,
    ( ~ ( c3_1 @ a349 )
   <= ~ ( c3_1 @ a349 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl936,plain,
    ( ( ~ ( c0_1 @ a349 )
      | ( c2_1 @ a349 ) )
   <= ( ~ ( c3_1 @ a349 )
      & ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl437]) ).

thf('93',plain,
    ( ( c2_1 @ a349 )
    | ( c3_1 @ a349 )
    | ~ ! [X19: $i] :
          ( ( c2_1 @ X19 )
          | ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 ) )
    | ~ ( c0_1 @ a349 ) ),
    inference(split,[status(esa)],[zip_derived_cl936]) ).

thf(zip_derived_cl2,plain,
    ( hskp26
    | hskp11
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( hskp11
    | hskp26
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl545_031,plain,
    ( ( c3_1 @ a310 )
   <= ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl327_032,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1701,plain,
    ( ( ( c0_1 @ a310 )
      | ( c2_1 @ a310 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c3_1 @ a310 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl327]) ).

thf('95',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a310 )
    | ( c2_1 @ a310 )
    | ~ ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl1701]) ).

thf('96',plain,
    ( hskp10
    | hskp11
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl312_033,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ~ ( c0_1 @ a308 )
   <= ~ ( c0_1 @ a308 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1549,plain,
    ( ( ~ ( c2_1 @ a308 )
      | ~ ( c1_1 @ a308 ) )
   <= ( ~ ( c0_1 @ a308 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl565]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a308 )
    | ( c0_1 @ a308 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ~ ( c1_1 @ a308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1549]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp10
    | ( c1_1 @ a308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c1_1 @ a308 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp10
    | ( c3_1 @ a308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c3_1 @ a308 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('100',plain,
    ( ~ ( c0_1 @ a308 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl563,plain,
    ( ( c3_1 @ a308 )
   <= ( c3_1 @ a308 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl236_034,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1364,plain,
    ( ( ( c2_1 @ a308 )
      | ~ ( c1_1 @ a308 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a308 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl236]) ).

thf('101',plain,
    ( ( c2_1 @ a308 )
    | ~ ( c1_1 @ a308 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1364]) ).

thf(zip_derived_cl54,plain,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( c0_1 @ X77 )
      | ( c1_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | ( c3_1 @ X79 )
      | ~ ( c0_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl645_035,plain,
    ( ~ ( c3_1 @ a294 )
   <= ~ ( c3_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1996,plain,
    ( ( ( c1_1 @ a294 )
      | ( c0_1 @ a294 ) )
   <= ( ~ ( c3_1 @ a294 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl645]) ).

thf('102',plain,
    ( ( c1_1 @ a294 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ( c3_1 @ X77 ) )
    | ( c3_1 @ a294 )
    | ( c0_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl1996]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp11
    | ( c1_1 @ a309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c1_1 @ a309 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp11
    | ( c3_1 @ a309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c3_1 @ a309 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c2_1 @ a309 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl555,plain,
    ( ( c3_1 @ a309 )
   <= ( c3_1 @ a309 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl236_036,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1352,plain,
    ( ( ( c2_1 @ a309 )
      | ~ ( c1_1 @ a309 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl555,zip_derived_cl236]) ).

thf('106',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a309 )
    | ( c2_1 @ a309 )
    | ~ ( c3_1 @ a309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1352]) ).

thf(zip_derived_cl320_037,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_cl485_038,plain,
    ( ~ ( c3_1 @ a333 )
   <= ~ ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1618,plain,
    ( ( ~ ( c2_1 @ a333 )
      | ( c0_1 @ a333 ) )
   <= ( ~ ( c3_1 @ a333 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c2_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl485]) ).

thf(zip_derived_cl4748,plain,
    ( ( c0_1 @ a333 )
   <= ( c0_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1618]) ).

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

thf(zip_derived_cl295,plain,
    ( ! [X36: $i] :
        ( ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c1_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c1_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl4752,plain,
    ( ( ( c2_1 @ a333 )
      | ~ ( c1_1 @ a333 ) )
   <= ( ! [X36: $i] :
          ( ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ~ ( c1_1 @ X36 ) )
      & ( c0_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4748,zip_derived_cl295]) ).

thf('107',plain,
    ( ~ ( c0_1 @ a333 )
    | ~ ( c1_1 @ a333 )
    | ~ ! [X36: $i] :
          ( ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ~ ( c1_1 @ X36 ) )
    | ( c2_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl4752]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp14
    | ( c1_1 @ a315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c1_1 @ a315 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp14
    | ( c2_1 @ a315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c2_1 @ a315 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c0_1 @ a315 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl312_039,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl533,plain,
    ( ~ ( c0_1 @ a315 )
   <= ~ ( c0_1 @ a315 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1551,plain,
    ( ( ~ ( c2_1 @ a315 )
      | ~ ( c1_1 @ a315 ) )
   <= ( ~ ( c0_1 @ a315 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl533]) ).

thf('111',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ~ ( c1_1 @ a315 )
    | ( c0_1 @ a315 )
    | ~ ( c2_1 @ a315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1551]) ).

thf(zip_derived_cl392,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl641_040,plain,
    ( ~ ( c0_1 @ a294 )
   <= ~ ( c0_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl2045,plain,
    ( ( ( c2_1 @ a294 )
      | ( c1_1 @ a294 ) )
   <= ( ~ ( c0_1 @ a294 )
      & ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c1_1 @ X83 )
          | ( c2_1 @ X83 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl641]) ).

thf('112',plain,
    ( ( c1_1 @ a294 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c1_1 @ X83 )
          | ( c2_1 @ X83 ) )
    | ( c0_1 @ a294 )
    | ( c2_1 @ a294 ) ),
    inference(split,[status(esa)],[zip_derived_cl2045]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(zip_derived_cl3,plain,
    ( hskp6
    | hskp15
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp23
    | hskp6
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl335_041,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a310 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl547,plain,
    ( ~ ( c0_1 @ a310 )
   <= ~ ( c0_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1779,plain,
    ( ( ~ ( c1_1 @ a310 )
      | ( c2_1 @ a310 ) )
   <= ( ~ ( c0_1 @ a310 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl547]) ).

thf('117',plain,
    ( ~ ( c1_1 @ a310 )
    | ( c0_1 @ a310 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c2_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ( c2_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl1779]) ).

thf('118',plain,
    ( ( c3_1 @ a310 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('119',plain,
    ( ~ ( c0_1 @ a310 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a310 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c2_1 @ a310 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl545_042,plain,
    ( ( c3_1 @ a310 )
   <= ( c3_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl50,plain,
    ! [X69: $i] :
      ( ( c0_1 @ X69 )
      | ( c1_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1738,plain,
    ( ( ( c0_1 @ a310 )
      | ( c1_1 @ a310 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a310 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl367]) ).

thf('121',plain,
    ( ( c1_1 @ a310 )
    | ~ ( c3_1 @ a310 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c0_1 @ a310 ) ),
    inference(split,[status(esa)],[zip_derived_cl1738]) ).

thf(zip_derived_cl59,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl46,plain,
    ! [X59: $i,X60: $i] :
      ( ( c0_1 @ X59 )
      | ( c2_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | ( c1_1 @ X60 )
      | ~ ( c0_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp4
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c2_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a300 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c0_1 @ a300 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a300 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ ( c1_1 @ a300 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a300 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c2_1 @ a300 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl392_043,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c0_1 @ a300 )
   <= ~ ( c0_1 @ a300 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl2047,plain,
    ( ( ( c2_1 @ a300 )
      | ( c1_1 @ a300 ) )
   <= ( ~ ( c0_1 @ a300 )
      & ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c1_1 @ X83 )
          | ( c2_1 @ X83 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl609]) ).

thf('127',plain,
    ( ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c1_1 @ X83 )
          | ( c2_1 @ X83 ) )
    | ( c0_1 @ a300 )
    | ( c1_1 @ a300 )
    | ( c2_1 @ a300 ) ),
    inference(split,[status(esa)],[zip_derived_cl2047]) ).

thf(zip_derived_cl57,plain,
    ! [X85: $i,X86: $i,X87: $i] :
      ( ( c0_1 @ X85 )
      | ( c1_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ndr1_0
      | ( c1_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c1_1 @ X83 )
        | ( c2_1 @ X83 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl619,plain,
    ( ( c3_1 @ a299 )
   <= ( c3_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl203_044,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1469,plain,
    ( ( ~ ( c0_1 @ a299 )
      | ~ ( c1_1 @ a299 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a299 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl203]) ).

thf('129',plain,
    ( ~ ( c1_1 @ a299 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a299 )
    | ~ ( c0_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl619_045,plain,
    ( ( c3_1 @ a299 )
   <= ( c3_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl288_046,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1474,plain,
    ( ( ( c1_1 @ a299 )
      | ( c2_1 @ a299 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a299 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl288]) ).

thf('130',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c1_1 @ a299 )
    | ( c2_1 @ a299 )
    | ~ ( c3_1 @ a299 ) ),
    inference(split,[status(esa)],[zip_derived_cl1474]) ).

thf('131',plain,
    ( hskp16
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('132',plain,
    ( ( c3_1 @ a321 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl515_047,plain,
    ( ( c3_1 @ a321 )
   <= ( c3_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl367_048,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c3_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c3_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1740,plain,
    ( ( ( c0_1 @ a321 )
      | ( c1_1 @ a321 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
      & ( c3_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl367]) ).

thf('133',plain,
    ( ( c0_1 @ a321 )
    | ~ ( c3_1 @ a321 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c3_1 @ X69 ) )
    | ( c1_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf(zip_derived_cl515_049,plain,
    ( ( c3_1 @ a321 )
   <= ( c3_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl223_050,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1309,plain,
    ( ( ~ ( c0_1 @ a321 )
      | ~ ( c2_1 @ a321 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl223]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a321 )
    | ~ ( c3_1 @ a321 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1309]) ).

thf(zip_derived_cl7029,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN445+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mVpbwlfpUQ true
% 0.17/0.34  % Computer : n012.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sat Aug 26 17:57:10 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.62/1.49  % Solved by fo/fo1_av.sh.
% 2.62/1.49  % done 2024 iterations in 0.702s
% 2.62/1.49  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.62/1.49  % SZS output start Refutation
% See solution above
% 2.62/1.50  
% 2.62/1.50  
% 2.62/1.50  % Terminating...
% 6.95/1.62  % Runner terminated.
% 6.99/1.63  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------