TSTP Solution File: SYN506+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN506+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.kSqu6skM6s true

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:16 EDT 2023

% Result   : Theorem 5.81s 1.45s
% Output   : Refutation 5.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  576 (   1 unt;  63 typ;   0 def)
%            Number of atoms       : 3913 (   0 equ;   0 cnn)
%            Maximal formula atoms :  759 (   7 avg)
%            Number of connectives : 8432 (2072   ~;2454   |; 474   &;2960   @)
%                                         (   0 <=>; 252  =>; 220  <=;   0 <~>)
%            Maximal formula depth :  112 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;  60 con; 0-1 aty)
%            Number of variables   :  708 (   0   ^; 708   !;   0   ?; 708   :)

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

thf(a325_type,type,
    a325: $i ).

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

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

thf(a377_type,type,
    a377: $i ).

thf(a343_type,type,
    a343: $i ).

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

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

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

thf(a322_type,type,
    a322: $i ).

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

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

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

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

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

thf(a326_type,type,
    a326: $i ).

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

thf(a367_type,type,
    a367: $i ).

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

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

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

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

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

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(a334_type,type,
    a334: $i ).

thf(a345_type,type,
    a345: $i ).

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

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

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

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

thf(a348_type,type,
    a348: $i ).

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

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

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

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

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

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

thf(a419_type,type,
    a419: $i ).

thf(a332_type,type,
    a332: $i ).

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

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

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

thf(a347_type,type,
    a347: $i ).

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

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

thf(a327_type,type,
    a327: $i ).

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

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

thf(a401_type,type,
    a401: $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(a324_type,type,
    a324: $i ).

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

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

thf(c0_1_type,type,
    c0_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
          & ( c2_1 @ a322 )
          & ( c3_1 @ a322 )
          & ~ ( c0_1 @ a322 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c1_1 @ a323 )
          & ~ ( c2_1 @ a323 )
          & ~ ( c3_1 @ a323 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a324 )
          & ~ ( c1_1 @ a324 )
          & ~ ( c3_1 @ a324 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a325 )
          & ( c1_1 @ a325 )
          & ~ ( c2_1 @ a325 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a326 )
          & ( c2_1 @ a326 )
          & ~ ( c1_1 @ a326 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a327 )
          & ( c1_1 @ a327 )
          & ~ ( c3_1 @ a327 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a329 )
          & ~ ( c1_1 @ a329 )
          & ~ ( c3_1 @ a329 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a330 )
          & ~ ( c0_1 @ a330 )
          & ~ ( c1_1 @ a330 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c0_1 @ a332 )
          & ~ ( c2_1 @ a332 )
          & ~ ( c3_1 @ a332 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a334 )
          & ~ ( c0_1 @ a334 )
          & ~ ( c1_1 @ a334 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a337 )
          & ~ ( c2_1 @ a337 )
          & ~ ( c3_1 @ a337 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c0_1 @ a338 )
          & ~ ( c1_1 @ a338 )
          & ~ ( c2_1 @ a338 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a345 )
          & ( c3_1 @ a345 )
          & ~ ( c2_1 @ a345 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a346 )
          & ( c2_1 @ a346 )
          & ~ ( c3_1 @ a346 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a347 )
          & ( c3_1 @ a347 )
          & ~ ( c1_1 @ a347 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a348 )
          & ~ ( c1_1 @ a348 )
          & ~ ( c3_1 @ a348 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a349 )
          & ( c3_1 @ a349 )
          & ~ ( c2_1 @ a349 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a353 )
          & ( c2_1 @ a353 )
          & ~ ( c0_1 @ a353 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a354 )
          & ~ ( c2_1 @ a354 )
          & ~ ( c3_1 @ a354 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a355 )
          & ( c2_1 @ a355 )
          & ~ ( c3_1 @ a355 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a358 )
          & ~ ( c0_1 @ a358 )
          & ~ ( c3_1 @ a358 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a359 )
          & ~ ( c0_1 @ a359 )
          & ~ ( c2_1 @ a359 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c3_1 @ a367 )
          & ~ ( c1_1 @ a367 )
          & ~ ( c2_1 @ a367 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a377 )
          & ( c3_1 @ a377 )
          & ~ ( c0_1 @ a377 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a401 )
          & ~ ( c0_1 @ a401 )
          & ~ ( c2_1 @ a401 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a419 )
          & ~ ( c1_1 @ a419 )
          & ~ ( c2_1 @ a419 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a333 )
          & ( c1_1 @ a333 )
          & ( c3_1 @ a333 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a341 )
          & ( c2_1 @ a341 )
          & ( c3_1 @ a341 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a343 )
          & ( c1_1 @ a343 )
          & ( c2_1 @ a343 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ~ ( c1_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c2_1 @ X )
              | ~ ( c3_1 @ X ) ) )
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c2_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c2_1 @ Z ) ) )
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | hskp5
        | hskp1 )
      & ( ! [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 ) ) )
        | hskp6 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X6 )
              | ~ ( c2_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | hskp7 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp5 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | hskp8 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X15 )
              | ( c2_1 @ X15 )
              | ~ ( c0_1 @ X15 ) ) )
        | hskp26 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ( c2_1 @ X17 )
              | ~ ( c0_1 @ X17 ) ) )
        | hskp9 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | hskp7 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | hskp5
        | hskp10 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | hskp11 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X24 )
              | ~ ( c0_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c0_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp5 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X29 )
              | ~ ( c0_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X30 )
              | ~ ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) ) )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) ) )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 ) ) )
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | hskp27 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | hskp7 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) ) )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X44 )
              | ~ ( c0_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp28 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) ) )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp26 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp12 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp13
        | hskp14 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 ) ) )
        | hskp15 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp16
        | hskp9 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) ) )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | hskp12 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp4 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp19
        | hskp11 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp12 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp20 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | hskp21 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ( c3_1 @ X71 ) ) )
        | hskp5
        | hskp14 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ( c3_1 @ X72 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 ) ) )
        | hskp19
        | hskp0 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | hskp7
        | hskp22 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp2 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | hskp22 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 ) ) )
        | hskp5 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp19 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | hskp19 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp6 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp26
        | hskp27 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp14 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp23
        | hskp22 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp17 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp22 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp15 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) ) )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c0_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | hskp10 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 ) ) )
        | hskp28
        | hskp27 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c0_1 @ X105 ) ) )
        | hskp3
        | hskp8 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X107 )
              | ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 ) ) )
        | hskp8 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X109 )
              | ~ ( c2_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp20 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c1_1 @ X110 ) ) )
        | hskp13
        | hskp12 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp28 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X112 )
              | ~ ( c0_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | hskp3
        | hskp10 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X113 )
              | ~ ( c0_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | hskp4
        | hskp16 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X114 )
              | ~ ( c0_1 @ X114 )
              | ~ ( c2_1 @ X114 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | hskp28
        | hskp7 )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 ) ) )
        | hskp17
        | hskp24 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X117 )
              | ~ ( c1_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) )
        | ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 )
              | ~ ( c3_1 @ X118 ) ) )
        | hskp10 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X119 )
              | ~ ( c2_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp5
        | hskp16 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp3
        | hskp10 )
      & ( hskp26
        | hskp24
        | hskp2 )
      & ( hskp3
        | hskp5
        | hskp4 )
      & ( hskp4
        | hskp13
        | hskp8 )
      & ( hskp12
        | hskp17
        | hskp14 )
      & ( hskp25
        | hskp16 )
      & ( hskp25
        | hskp11
        | hskp1 )
      & ( hskp17
        | hskp24
        | hskp8 )
      & ( hskp17
        | hskp18
        | hskp11 )
      & ( hskp24
        | hskp7 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a322 )
        & ( c3_1 @ a322 )
        & ~ ( c0_1 @ a322 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c1_1 @ a323 )
        & ~ ( c2_1 @ a323 )
        & ~ ( c3_1 @ a323 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a324 )
        & ~ ( c1_1 @ a324 )
        & ~ ( c3_1 @ a324 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a325 )
        & ( c1_1 @ a325 )
        & ~ ( c2_1 @ a325 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a326 )
        & ( c2_1 @ a326 )
        & ~ ( c1_1 @ a326 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a327 )
        & ( c1_1 @ a327 )
        & ~ ( c3_1 @ a327 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a329 )
        & ~ ( c1_1 @ a329 )
        & ~ ( c3_1 @ a329 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a330 )
        & ~ ( c0_1 @ a330 )
        & ~ ( c1_1 @ a330 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c0_1 @ a332 )
        & ~ ( c2_1 @ a332 )
        & ~ ( c3_1 @ a332 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a334 )
        & ~ ( c0_1 @ a334 )
        & ~ ( c1_1 @ a334 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a337 )
        & ~ ( c2_1 @ a337 )
        & ~ ( c3_1 @ a337 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c0_1 @ a338 )
        & ~ ( c1_1 @ a338 )
        & ~ ( c2_1 @ a338 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a345 )
        & ( c3_1 @ a345 )
        & ~ ( c2_1 @ a345 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a346 )
        & ( c2_1 @ a346 )
        & ~ ( c3_1 @ a346 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a347 )
        & ( c3_1 @ a347 )
        & ~ ( c1_1 @ a347 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a348 )
        & ~ ( c1_1 @ a348 )
        & ~ ( c3_1 @ a348 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a349 )
        & ( c3_1 @ a349 )
        & ~ ( c2_1 @ a349 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a353 )
        & ( c2_1 @ a353 )
        & ~ ( c0_1 @ a353 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a354 )
        & ~ ( c2_1 @ a354 )
        & ~ ( c3_1 @ a354 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a355 )
        & ( c2_1 @ a355 )
        & ~ ( c3_1 @ a355 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a358 )
        & ~ ( c0_1 @ a358 )
        & ~ ( c3_1 @ a358 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a359 )
        & ~ ( c0_1 @ a359 )
        & ~ ( c2_1 @ a359 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c3_1 @ a367 )
        & ~ ( c1_1 @ a367 )
        & ~ ( c2_1 @ a367 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a377 )
        & ( c3_1 @ a377 )
        & ~ ( c0_1 @ a377 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a401 )
        & ~ ( c0_1 @ a401 )
        & ~ ( c2_1 @ a401 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a419 )
        & ~ ( c1_1 @ a419 )
        & ~ ( c2_1 @ a419 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a333 )
        & ( c1_1 @ a333 )
        & ( c3_1 @ a333 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a341 )
        & ( c2_1 @ a341 )
        & ( c3_1 @ a341 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a343 )
        & ( c1_1 @ a343 )
        & ( c2_1 @ a343 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ~ ( c1_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c2_1 @ X )
            | ~ ( c3_1 @ X ) ) )
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c2_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c2_1 @ Z ) ) )
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | hskp5
      | hskp1 )
    & ( ! [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 ) ) )
      | hskp6 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X6 )
            | ~ ( c2_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | hskp7 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp5 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | hskp8 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X15 )
            | ( c2_1 @ X15 )
            | ~ ( c0_1 @ X15 ) ) )
      | hskp26 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ( c2_1 @ X17 )
            | ~ ( c0_1 @ X17 ) ) )
      | hskp9 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | hskp7 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | hskp5
      | hskp10 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | hskp11 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X24 )
            | ~ ( c0_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c0_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp5 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X29 )
            | ~ ( c0_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X30 )
            | ~ ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) ) )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) ) )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 ) ) )
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | hskp27 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | hskp7 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) ) )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X44 )
            | ~ ( c0_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp28 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) ) )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp26 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp12 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp13
      | hskp14 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 ) ) )
      | hskp15 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp16
      | hskp9 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) ) )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | hskp12 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp4 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp19
      | hskp11 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp12 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp20 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | hskp21 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ( c3_1 @ X71 ) ) )
      | hskp5
      | hskp14 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ( c3_1 @ X72 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 ) ) )
      | hskp19
      | hskp0 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | hskp7
      | hskp22 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp2 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | hskp22 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 ) ) )
      | hskp5 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp19 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | hskp19 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp6 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp26
      | hskp27 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp14 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp23
      | hskp22 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp17 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp22 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp15 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) ) )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c0_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | hskp10 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 ) ) )
      | hskp28
      | hskp27 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c0_1 @ X105 ) ) )
      | hskp3
      | hskp8 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X107 )
            | ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 ) ) )
      | hskp8 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X109 )
            | ~ ( c2_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp20 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c1_1 @ X110 ) ) )
      | hskp13
      | hskp12 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp28 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X112 )
            | ~ ( c0_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | hskp3
      | hskp10 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X113 )
            | ~ ( c0_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | hskp4
      | hskp16 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X114 )
            | ~ ( c0_1 @ X114 )
            | ~ ( c2_1 @ X114 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | hskp28
      | hskp7 )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 ) ) )
      | hskp17
      | hskp24 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X117 )
            | ~ ( c1_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) )
      | ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 )
            | ~ ( c3_1 @ X118 ) ) )
      | hskp10 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X119 )
            | ~ ( c2_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp5
      | hskp16 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp3
      | hskp10 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp4
      | hskp13
      | hskp8 )
    & ( hskp12
      | hskp17
      | hskp14 )
    & ( hskp25
      | hskp16 )
    & ( hskp25
      | hskp11
      | hskp1 )
    & ( hskp17
      | hskp24
      | hskp8 )
    & ( hskp17
      | hskp18
      | hskp11 )
    & ( hskp24
      | hskp7 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c0_1 @ a343 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( c0_1 @ a343 )
   <= ( c0_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl20,plain,
    ! [X13: $i,X14: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl264,plain,
    ( ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp3
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl893,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl221]) ).

thf(zip_derived_cl919,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl893]) ).

thf(zip_derived_cl1150,plain,
    ( ( ~ ( c2_1 @ a343 )
      | ~ ( c1_1 @ a343 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
      & ( c0_1 @ a343 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl919]) ).

thf('0',plain,
    ( ~ ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a343 )
    | ~ ( c2_1 @ a343 )
    | ~ ( c0_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl1150]) ).

thf(zip_derived_cl64,plain,
    ! [X95: $i,X96: $i,X97: $i] :
      ( ( c0_1 @ X95 )
      | ( c2_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0
      | ( c1_1 @ X96 )
      | ~ ( c0_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ndr1_0
      | ( c2_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ( c0_1 @ X97 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl35,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c3_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp22
    | ( c3_1 @ a367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( c3_1 @ a367 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ~ ( c1_1 @ a367 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a367 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c2_1 @ a367 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl553,plain,
    ( ( c3_1 @ a367 )
   <= ( c3_1 @ a367 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl36,plain,
    ! [X41: $i,X42: $i,X43: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c2_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1691,plain,
    ( ( ( c1_1 @ a367 )
      | ( c2_1 @ a367 ) )
   <= ( ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a367 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl329]) ).

thf('6',plain,
    ( ~ ( c3_1 @ a367 )
    | ( c1_1 @ a367 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ( c2_1 @ a367 ) ),
    inference(split,[status(esa)],[zip_derived_cl1691]) ).

thf(zip_derived_cl324,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c3_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c3_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl613,plain,
    ( ~ ( c3_1 @ a348 )
   <= ~ ( c3_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1530,plain,
    ( ( ~ ( c0_1 @ a348 )
      | ( c1_1 @ a348 ) )
   <= ( ~ ( c3_1 @ a348 )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c3_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl613]) ).

thf('7',plain,
    ( ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c3_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ( c1_1 @ a348 )
    | ~ ( c0_1 @ a348 )
    | ( c3_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1530]) ).

thf(zip_derived_cl25,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( hskp15
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl49,plain,
    ! [X62: $i,X63: $i,X64: $i] :
      ( ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) )
    | ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ( c0_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ( c0_1 @ a337 )
   <= ( c0_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ndr1_0
      | hskp7
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1744,plain,
    ( ( ( c1_1 @ a337 )
      | ( c2_1 @ a337 ) )
   <= ( ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c0_1 @ X46 ) )
      & ( c0_1 @ a337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl335]) ).

thf('10',plain,
    ( ( c1_1 @ a337 )
    | ( c2_1 @ a337 )
    | ~ ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c0_1 @ X46 ) )
    | ~ ( c0_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl649_001,plain,
    ( ( c0_1 @ a337 )
   <= ( c0_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl18,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | hskp13
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl256,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1478,plain,
    ( ( ( c2_1 @ a337 )
      | ~ ( c1_1 @ a337 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a337 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl256]) ).

thf('11',plain,
    ( ~ ( c1_1 @ a337 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c0_1 @ a337 )
    | ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl1478]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl629,plain,
    ( ~ ( c3_1 @ a346 )
   <= ~ ( c3_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl13,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl823,plain,
    ( ( ~ ( c1_1 @ a346 )
      | ~ ( c2_1 @ a346 ) )
   <= ( ~ ( c3_1 @ a346 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl237]) ).

thf('12',plain,
    ( ~ ( c1_1 @ a346 )
    | ( c3_1 @ a346 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl823]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c1_1 @ a343 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl507,plain,
    ( ( c1_1 @ a343 )
   <= ( c1_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl237_002,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl221_003,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl763,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl221]) ).

thf(zip_derived_cl766,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl1177,plain,
    ( ~ ( c2_1 @ a343 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a343 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl766]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c2_1 @ a343 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl509,plain,
    ( ( c2_1 @ a343 )
   <= ( c2_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf('13',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a343 )
    | ~ ( c2_1 @ a343 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1177,zip_derived_cl509]) ).

thf(zip_derived_cl505_004,plain,
    ( ( c0_1 @ a343 )
   <= ( c0_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl237_005,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl765,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl230]) ).

thf(zip_derived_cl768,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl765]) ).

thf(zip_derived_cl1146,plain,
    ( ( ~ ( c1_1 @ a343 )
      | ~ ( c2_1 @ a343 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a343 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl768]) ).

thf('14',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c0_1 @ a343 )
    | ~ ( c2_1 @ a343 )
    | ~ ( c1_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl1146]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp0
    | ( c3_1 @ a322 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    ( ( c3_1 @ a322 )
   <= ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl48,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1763,plain,
    ( ( ( c0_1 @ a322 )
      | ~ ( c1_1 @ a322 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c3_1 @ X60 ) )
      & ( c3_1 @ a322 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl376]) ).

thf('15',plain,
    ( ~ ( c3_1 @ a322 )
    | ( c0_1 @ a322 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c3_1 @ X60 ) )
    | ~ ( c1_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1763]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp7
    | ( c3_1 @ a330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl673,plain,
    ( ( c3_1 @ a330 )
   <= ( c3_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl329_006,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1686,plain,
    ( ( ( c1_1 @ a330 )
      | ( c2_1 @ a330 ) )
   <= ( ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a330 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl329]) ).

thf('16',plain,
    ( ( c2_1 @ a330 )
    | ( c1_1 @ a330 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1686]) ).

thf('17',plain,
    ( ( c0_1 @ a337 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ~ ( c2_1 @ a337 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a337 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ ( c3_1 @ a337 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl21,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | hskp3
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl653,plain,
    ( ~ ( c3_1 @ a337 )
   <= ~ ( c3_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl954,plain,
    ( ( ~ ( c0_1 @ a337 )
      | ( c2_1 @ a337 ) )
   <= ( ~ ( c3_1 @ a337 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl653]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a337 )
    | ( c3_1 @ a337 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c2_1 @ a337 ) ),
    inference(split,[status(esa)],[zip_derived_cl954]) ).

thf('21',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp26
    | ( c3_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c3_1 @ a333 )
   <= ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl230_007,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1233,plain,
    ( ( ~ ( c0_1 @ a333 )
      | ~ ( c1_1 @ a333 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl230]) ).

thf('22',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a333 )
    | ~ ( c3_1 @ a333 )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1233]) ).

thf(zip_derived_cl44,plain,
    ! [X54: $i,X55: $i] :
      ( ( c1_1 @ X54 )
      | ( c2_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ndr1_0
      | ( c1_1 @ X55 )
      | ( c2_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( hskp12
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl525_008,plain,
    ( ( c3_1 @ a333 )
   <= ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp5
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1232,plain,
    ( ( ~ ( c0_1 @ a333 )
      | ~ ( c2_1 @ a333 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl225]) ).

thf('24',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a333 )
    | ~ ( c3_1 @ a333 )
    | ~ ( c0_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1232]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp26
    | ( c0_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c0_1 @ a333 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl69,plain,
    ! [X105: $i,X106: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | ( c1_1 @ X106 )
      | ( c2_1 @ X106 )
      | ~ ( c0_1 @ X106 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( hskp26
    | ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp21
    | ( c3_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c3_1 @ a359 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ ( c2_1 @ a359 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl673_009,plain,
    ( ( c3_1 @ a330 )
   <= ( c3_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl67,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X102 )
      | ~ ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c3_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl2026,plain,
    ( ( ( c0_1 @ a330 )
      | ( c1_1 @ a330 ) )
   <= ( ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) )
      & ( c3_1 @ a330 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl452]) ).

thf('29',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c3_1 @ X101 ) )
    | ~ ( c3_1 @ a330 )
    | ( c0_1 @ a330 )
    | ( c1_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl2026]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ ( c0_1 @ a330 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl0,plain,
    ( hskp24
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp7
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl17,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp28
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('33',plain,
    ( hskp12
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp27
    | ( c3_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( c3_1 @ a341 )
   <= ( c3_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl376_010,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c3_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1772,plain,
    ( ( ( c0_1 @ a341 )
      | ~ ( c1_1 @ a341 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c3_1 @ X60 ) )
      & ( c3_1 @ a341 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl376]) ).

thf('34',plain,
    ( ( c0_1 @ a341 )
    | ~ ( c1_1 @ a341 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c3_1 @ X60 ) )
    | ~ ( c3_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1772]) ).

thf(zip_derived_cl517_011,plain,
    ( ( c3_1 @ a341 )
   <= ( c3_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl45,plain,
    ! [X56: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1734,plain,
    ( ( ( c0_1 @ a341 )
      | ~ ( c2_1 @ a341 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
      & ( c3_1 @ a341 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl363]) ).

thf(zip_derived_cl4595,plain,
    ( ( c0_1 @ a341 )
   <= ( c0_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1734]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp17
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4597,plain,
    ( ( ~ ( c1_1 @ a341 )
      | ~ ( c2_1 @ a341 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a341 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4595,zip_derived_cl233]) ).

thf('35',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a341 )
    | ~ ( c2_1 @ a341 )
    | ~ ( c1_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl4597]) ).

thf('36',plain,
    ( ( c1_1 @ a343 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl505_012,plain,
    ( ( c0_1 @ a343 )
   <= ( c0_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl233_013,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1142,plain,
    ( ( ~ ( c1_1 @ a343 )
      | ~ ( c2_1 @ a343 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a343 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl233]) ).

thf('37',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a343 )
    | ~ ( c1_1 @ a343 )
    | ~ ( c2_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl1142]) ).

thf(zip_derived_cl731_014,plain,
    ( ( c3_1 @ a322 )
   <= ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl221_015,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1703,plain,
    ( ( ~ ( c1_1 @ a322 )
      | ~ ( c2_1 @ a322 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a322 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl221]) ).

thf('38',plain,
    ( ~ ( c1_1 @ a322 )
    | ~ ( c3_1 @ a322 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1703]) ).

thf(zip_derived_cl731_016,plain,
    ( ( c3_1 @ a322 )
   <= ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl253,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1706,plain,
    ( ( ( c2_1 @ a322 )
      | ~ ( c1_1 @ a322 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a322 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl253]) ).

thf('39',plain,
    ( ( c2_1 @ a322 )
    | ~ ( c1_1 @ a322 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1706]) ).

thf(zip_derived_cl55,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
    | ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl54,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | ( c2_1 @ X72 )
      | ~ ( c0_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl400,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ~ ( c3_1 @ a355 )
   <= ~ ( c3_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl2066,plain,
    ( ( ~ ( c1_1 @ a355 )
      | ( c0_1 @ a355 ) )
   <= ( ~ ( c3_1 @ a355 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl581]) ).

thf('41',plain,
    ( ( c0_1 @ a355 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
    | ( c3_1 @ a355 )
    | ~ ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl2066]) ).

thf(zip_derived_cl52,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | hskp13
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl581_017,plain,
    ( ~ ( c3_1 @ a355 )
   <= ~ ( c3_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1988,plain,
    ( ( ~ ( c2_1 @ a355 )
      | ( c0_1 @ a355 ) )
   <= ( ~ ( c3_1 @ a355 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl581]) ).

thf('42',plain,
    ( ( c0_1 @ a355 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ( c3_1 @ a355 )
    | ~ ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl1988]) ).

thf(zip_derived_cl4882,plain,
    ( ( c0_1 @ a355 )
   <= ( c0_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl1988]) ).

thf(zip_derived_cl233_018,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4884,plain,
    ( ( ~ ( c1_1 @ a355 )
      | ~ ( c2_1 @ a355 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a355 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4882,zip_derived_cl233]) ).

thf('43',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a355 )
    | ~ ( c1_1 @ a355 )
    | ~ ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl4884]) ).

thf(zip_derived_cl268_019,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl693,plain,
    ( ~ ( c3_1 @ a327 )
   <= ~ ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl951,plain,
    ( ( ~ ( c0_1 @ a327 )
      | ( c2_1 @ a327 ) )
   <= ( ~ ( c3_1 @ a327 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl693]) ).

thf('44',plain,
    ( ( c2_1 @ a327 )
    | ( c3_1 @ a327 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ~ ( c0_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf(zip_derived_cl403,plain,
    ( ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c2_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl693_020,plain,
    ( ~ ( c3_1 @ a327 )
   <= ~ ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2104,plain,
    ( ( ~ ( c1_1 @ a327 )
      | ( c2_1 @ a327 ) )
   <= ( ~ ( c3_1 @ a327 )
      & ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl693]) ).

thf('45',plain,
    ( ( c2_1 @ a327 )
    | ~ ! [X75: $i] :
          ( ( c2_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a327 )
    | ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl2104]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ( c0_1 @ a327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ( ( c0_1 @ a327 )
   <= ( c0_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl233_021,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1557,plain,
    ( ( ~ ( c1_1 @ a327 )
      | ~ ( c2_1 @ a327 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a327 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl233]) ).

thf('46',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a327 )
    | ~ ( c0_1 @ a327 )
    | ~ ( c1_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl1557]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp13
    | ( c0_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ( c0_1 @ a346 )
   <= ( c0_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl30,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | hskp26
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c1_1 @ a346 )
      | ~ ( c2_1 @ a346 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c0_1 @ a346 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl303]) ).

thf('47',plain,
    ( ( c1_1 @ a346 )
    | ~ ( c0_1 @ a346 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf(zip_derived_cl625_022,plain,
    ( ( c0_1 @ a346 )
   <= ( c0_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl233_023,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1398,plain,
    ( ( ~ ( c1_1 @ a346 )
      | ~ ( c2_1 @ a346 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c0_1 @ a346 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl233]) ).

thf('48',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c1_1 @ a346 )
    | ~ ( c0_1 @ a346 )
    | ~ ( c2_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a332 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c2_1 @ a332 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a332 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a332 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl70,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( hskp8
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ~ ( c2_1 @ X107 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl32,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ndr1_0
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp19
    | ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp26
    | ( c1_1 @ a333 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c1_1 @ a333 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl525_024,plain,
    ( ( c3_1 @ a333 )
   <= ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl253_025,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1234,plain,
    ( ( ( c2_1 @ a333 )
      | ~ ( c1_1 @ a333 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl253]) ).

thf('54',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a333 )
    | ~ ( c3_1 @ a333 )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp20
    | ( c2_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c2_1 @ a358 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ~ ( c0_1 @ a358 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a358 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c3_1 @ a358 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl391_026,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl573,plain,
    ( ~ ( c3_1 @ a358 )
   <= ~ ( c3_1 @ a358 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1989,plain,
    ( ( ~ ( c2_1 @ a358 )
      | ( c0_1 @ a358 ) )
   <= ( ~ ( c3_1 @ a358 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl573]) ).

thf('58',plain,
    ( ( c0_1 @ a358 )
    | ( c3_1 @ a358 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) )
    | ~ ( c2_1 @ a358 ) ),
    inference(split,[status(esa)],[zip_derived_cl1989]) ).

thf(zip_derived_cl22,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp28
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp28
    | hskp27
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('60',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
    | hskp13
    | ~ ndr1_0
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('61',plain,
    ( ( c0_1 @ a343 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('62',plain,
    ( ( c2_1 @ a343 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl509_027,plain,
    ( ( c2_1 @ a343 )
   <= ( c2_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl505_028,plain,
    ( ( c0_1 @ a343 )
   <= ( c0_1 @ a343 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl14,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl225_029,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl780,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl225]) ).

thf(zip_derived_cl783,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl780]) ).

thf(zip_derived_cl1148,plain,
    ( ~ ( c2_1 @ a343 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c0_1 @ a343 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl783]) ).

thf('63',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a343 )
    | ~ ( c0_1 @ a343 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl1148]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp14
    | ( c2_1 @ a347 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c2_1 @ a347 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp14
    | ( c3_1 @ a347 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ( c3_1 @ a347 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a347 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a347 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl619,plain,
    ( ( c3_1 @ a347 )
   <= ( c3_1 @ a347 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl284,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1396,plain,
    ( ( ( c1_1 @ a347 )
      | ~ ( c2_1 @ a347 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a347 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl284]) ).

thf('67',plain,
    ( ( c1_1 @ a347 )
    | ~ ( c3_1 @ a347 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c2_1 @ a347 ) ),
    inference(split,[status(esa)],[zip_derived_cl1396]) ).

thf(zip_derived_cl71,plain,
    ! [X109: $i,X110: $i,X111: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c1_1 @ X110 )
      | ~ ( c0_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | ( c1_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ( c3_1 @ X111 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
    | ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ~ ( c2_1 @ X107 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ( c3_1 @ a345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ( c3_1 @ a345 )
   <= ( c3_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

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

thf(zip_derived_cl281,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1474,plain,
    ( ( ( c2_1 @ a345 )
      | ~ ( c0_1 @ a345 ) )
   <= ( ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a345 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl281]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a345 )
    | ( c2_1 @ a345 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c0_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl1474]) ).

thf(zip_derived_cl635_030,plain,
    ( ( c3_1 @ a345 )
   <= ( c3_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl253_031,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1473,plain,
    ( ( ( c2_1 @ a345 )
      | ~ ( c1_1 @ a345 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a345 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl253]) ).

thf('70',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c1_1 @ a345 )
    | ( c2_1 @ a345 )
    | ~ ( c3_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl1473]) ).

thf(zip_derived_cl635_032,plain,
    ( ( c3_1 @ a345 )
   <= ( c3_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl28,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp23
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1476,plain,
    ( ( ( c1_1 @ a345 )
      | ~ ( c0_1 @ a345 ) )
   <= ( ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c3_1 @ a345 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl295]) ).

thf('71',plain,
    ( ( c1_1 @ a345 )
    | ~ ( c3_1 @ a345 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c0_1 @ a345 ) ),
    inference(split,[status(esa)],[zip_derived_cl1476]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ( c0_1 @ a345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c0_1 @ a345 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('73',plain,
    ( ( c3_1 @ a345 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a345 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c2_1 @ a345 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('75',plain,
    ( hskp12
    | hskp13
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl693_033,plain,
    ( ~ ( c3_1 @ a327 )
   <= ~ ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl241_034,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl866,plain,
    ( ( ~ ( c0_1 @ a327 )
      | ~ ( c2_1 @ a327 ) )
   <= ( ~ ( c3_1 @ a327 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl693,zip_derived_cl241]) ).

thf('76',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a327 )
    | ~ ( c0_1 @ a327 )
    | ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf('77',plain,
    ( ( c0_1 @ a346 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp13
    | ( c2_1 @ a346 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ( c2_1 @ a346 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('79',plain,
    ( ~ ( c3_1 @ a346 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl629_035,plain,
    ( ~ ( c3_1 @ a346 )
   <= ~ ( c3_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl241_036,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl824,plain,
    ( ( ~ ( c0_1 @ a346 )
      | ~ ( c2_1 @ a346 ) )
   <= ( ~ ( c3_1 @ a346 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl241]) ).

thf('80',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a346 )
    | ( c3_1 @ a346 )
    | ~ ( c0_1 @ a346 ) ),
    inference(split,[status(esa)],[zip_derived_cl824]) ).

thf(zip_derived_cl15,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp4
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( hskp16
    | hskp4
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl268_037,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl613_038,plain,
    ( ~ ( c3_1 @ a348 )
   <= ~ ( c3_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl956,plain,
    ( ( ~ ( c0_1 @ a348 )
      | ( c2_1 @ a348 ) )
   <= ( ~ ( c3_1 @ a348 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl613]) ).

thf('82',plain,
    ( ( c2_1 @ a348 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c3_1 @ a348 )
    | ~ ( c0_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl956]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ( c0_1 @ a326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ( c0_1 @ a326 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ( c2_1 @ a326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c2_1 @ a326 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a326 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl697,plain,
    ( ( c0_1 @ a326 )
   <= ( c0_1 @ a326 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl303_039,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1604,plain,
    ( ( ( c1_1 @ a326 )
      | ~ ( c2_1 @ a326 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c0_1 @ a326 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl303]) ).

thf('86',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c0_1 @ a326 )
    | ~ ( c2_1 @ a326 )
    | ( c1_1 @ a326 ) ),
    inference(split,[status(esa)],[zip_derived_cl1604]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp15
    | ( c0_1 @ a348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ( c0_1 @ a348 )
   <= ( c0_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl303_040,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1356,plain,
    ( ( ( c1_1 @ a348 )
      | ~ ( c2_1 @ a348 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c0_1 @ a348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl303]) ).

thf('87',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a348 )
    | ~ ( c0_1 @ a348 )
    | ( c1_1 @ a348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1356]) ).

thf(zip_derived_cl19,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( hskp20
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('89',plain,
    ( ( c0_1 @ a348 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ~ ( c1_1 @ a348 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('91',plain,
    ( ~ ( c3_1 @ a348 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl264_041,plain,
    ( ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl693_042,plain,
    ( ~ ( c3_1 @ a327 )
   <= ~ ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl899,plain,
    ( ( ~ ( c1_1 @ a327 )
      | ~ ( c0_1 @ a327 ) )
   <= ( ~ ( c3_1 @ a327 )
      & ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl693]) ).

thf('92',plain,
    ( ~ ! [X14: $i] :
          ( ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c1_1 @ X14 ) )
    | ~ ( c0_1 @ a327 )
    | ( c3_1 @ a327 )
    | ~ ( c1_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf(zip_derived_cl51,plain,
    ! [X66: $i,X67: $i] :
      ( ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | ( c1_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp15
    | ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl50,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | hskp16
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( hskp9
    | hskp16
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl72,plain,
    ! [X112: $i,X113: $i] :
      ( ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ~ ( c2_1 @ X112 )
      | ~ ndr1_0
      | ( c0_1 @ X113 )
      | ~ ( c1_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( hskp5
    | ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ~ ( c2_1 @ X107 ) )
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp9
    | ( c2_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ( c2_1 @ a334 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ ( c0_1 @ a334 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ ( c1_1 @ a334 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl464,plain,
    ( ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ~ ( c2_1 @ X107 ) )
   <= ! [X107: $i] :
        ( ( c0_1 @ X107 )
        | ( c1_1 @ X107 )
        | ~ ( c2_1 @ X107 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl659,plain,
    ( ~ ( c0_1 @ a334 )
   <= ~ ( c0_1 @ a334 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl2280,plain,
    ( ( ~ ( c2_1 @ a334 )
      | ( c1_1 @ a334 ) )
   <= ( ~ ( c0_1 @ a334 )
      & ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ~ ( c2_1 @ X107 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl659]) ).

thf('99',plain,
    ( ~ ! [X107: $i] :
          ( ( c0_1 @ X107 )
          | ( c1_1 @ X107 )
          | ~ ( c2_1 @ X107 ) )
    | ~ ( c2_1 @ a334 )
    | ( c0_1 @ a334 )
    | ( c1_1 @ a334 ) ),
    inference(split,[status(esa)],[zip_derived_cl2280]) ).

thf(zip_derived_cl693_043,plain,
    ( ~ ( c3_1 @ a327 )
   <= ~ ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl237_044,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl865,plain,
    ( ( ~ ( c1_1 @ a327 )
      | ~ ( c2_1 @ a327 ) )
   <= ( ~ ( c3_1 @ a327 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl693,zip_derived_cl237]) ).

thf('100',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a327 )
    | ~ ( c1_1 @ a327 )
    | ( c3_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl865]) ).

thf('101',plain,
    ( ~ ( c3_1 @ a327 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('102',plain,
    ( ~ ( c3_1 @ a355 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl581_045,plain,
    ( ~ ( c3_1 @ a355 )
   <= ~ ( c3_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl237_046,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl789,plain,
    ( ( ~ ( c1_1 @ a355 )
      | ~ ( c2_1 @ a355 ) )
   <= ( ~ ( c3_1 @ a355 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl237]) ).

thf('103',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a355 )
    | ( c3_1 @ a355 )
    | ~ ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl789]) ).

thf(zip_derived_cl61,plain,
    ! [X87: $i,X88: $i,X89: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ndr1_0
      | ( c3_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp24
    | ( c1_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ( c1_1 @ a401 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ ( c0_1 @ a401 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ~ ( c2_1 @ a401 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl60,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | ( c3_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl424,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl539,plain,
    ( ~ ( c0_1 @ a401 )
   <= ~ ( c0_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl2182,plain,
    ( ( ~ ( c1_1 @ a401 )
      | ( c2_1 @ a401 ) )
   <= ( ~ ( c0_1 @ a401 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl539]) ).

thf('108',plain,
    ( ( c0_1 @ a401 )
    | ( c2_1 @ a401 )
    | ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ~ ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl2182]) ).

thf('109',plain,
    ( hskp17
    | hskp24
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl383,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl233_047,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1824,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl233]) ).

thf(zip_derived_cl1912,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1824]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ( c1_1 @ a327 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl691,plain,
    ( ( c1_1 @ a327 )
   <= ( c1_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl2541,plain,
    ( ~ ( c2_1 @ a327 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a327 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1912,zip_derived_cl691]) ).

thf(zip_derived_cl1066,plain,
    ( ( c2_1 @ a327 )
   <= ( c2_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf('110',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c2_1 @ a327 )
    | ~ ( c1_1 @ a327 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2541,zip_derived_cl1066]) ).

thf('111',plain,
    ( ( c0_1 @ a327 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('112',plain,
    ( ( c1_1 @ a327 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl63,plain,
    ! [X93: $i,X94: $i] :
      ( ( c0_1 @ X93 )
      | ( c2_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ndr1_0
      | ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( hskp5
    | ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl424_048,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a354 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ~ ( c3_1 @ a354 )
   <= ~ ( c3_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl241_049,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl794,plain,
    ( ( ~ ( c0_1 @ a354 )
      | ~ ( c2_1 @ a354 ) )
   <= ( ~ ( c3_1 @ a354 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl589,zip_derived_cl241]) ).

thf(zip_derived_cl829,plain,
    ( ~ ( c0_1 @ a354 )
   <= ~ ( c0_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl794]) ).

thf(zip_derived_cl2177,plain,
    ( ( ~ ( c1_1 @ a354 )
      | ( c2_1 @ a354 ) )
   <= ( ~ ( c0_1 @ a354 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl829]) ).

thf('114',plain,
    ( ( c0_1 @ a354 )
    | ( c2_1 @ a354 )
    | ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ~ ( c1_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl2177]) ).

thf(zip_derived_cl391_050,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c3_1 @ X68 )
        | ~ ( c2_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl589_051,plain,
    ( ~ ( c3_1 @ a354 )
   <= ~ ( c3_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1987,plain,
    ( ( ~ ( c2_1 @ a354 )
      | ( c0_1 @ a354 ) )
   <= ( ~ ( c3_1 @ a354 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c3_1 @ X68 )
          | ~ ( c2_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl589]) ).

thf(zip_derived_cl4848,plain,
    ( ( c0_1 @ a354 )
   <= ( c0_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl1987]) ).

thf(zip_derived_cl256_052,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4851,plain,
    ( ( ( c2_1 @ a354 )
      | ~ ( c1_1 @ a354 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a354 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4848,zip_derived_cl256]) ).

thf('115',plain,
    ( ( c2_1 @ a354 )
    | ~ ( c0_1 @ a354 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl4851]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp18
    | ( c1_1 @ a354 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ( c1_1 @ a354 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a354 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a354 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl46,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( hskp18
    | hskp17
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl27,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c2_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( hskp17
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl731_053,plain,
    ( ( c3_1 @ a322 )
   <= ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl363_054,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1725,plain,
    ( ( ( c0_1 @ a322 )
      | ~ ( c2_1 @ a322 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
      & ( c3_1 @ a322 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl363]) ).

thf('120',plain,
    ( ( c0_1 @ a322 )
    | ~ ( c2_1 @ a322 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ~ ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1725]) ).

thf(zip_derived_cl731_055,plain,
    ( ( c3_1 @ a322 )
   <= ( c3_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl284_056,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1708,plain,
    ( ( ( c1_1 @ a322 )
      | ~ ( c2_1 @ a322 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a322 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl284]) ).

thf('121',plain,
    ( ( c1_1 @ a322 )
    | ~ ( c3_1 @ a322 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c2_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1708]) ).

thf(zip_derived_cl383_057,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a322 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl733,plain,
    ( ~ ( c0_1 @ a322 )
   <= ~ ( c0_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1844,plain,
    ( ( ~ ( c2_1 @ a322 )
      | ~ ( c1_1 @ a322 ) )
   <= ( ~ ( c0_1 @ a322 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl733]) ).

thf('122',plain,
    ( ~ ( c1_1 @ a322 )
    | ( c0_1 @ a322 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c2_1 @ a322 ) ),
    inference(split,[status(esa)],[zip_derived_cl1844]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp0
    | ( c2_1 @ a322 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c2_1 @ a322 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('124',plain,
    ( ( c3_1 @ a322 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('125',plain,
    ( ~ ( c0_1 @ a322 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl39,plain,
    ! [X47: $i] :
      ( ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ndr1_0
      | hskp19
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp0
    | ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl92,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl3,plain,
    ( hskp25
    | hskp11
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( hskp11
    | hskp1
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp19
    | ( c1_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c1_1 @ a355 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp19
    | ( c2_1 @ a355 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c2_1 @ a355 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1912_058,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1824]) ).

thf(zip_derived_cl577,plain,
    ( ( c1_1 @ a355 )
   <= ( c1_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl2545,plain,
    ( ~ ( c2_1 @ a355 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
      & ( c1_1 @ a355 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1912,zip_derived_cl577]) ).

thf(zip_derived_cl268_059,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl581_060,plain,
    ( ~ ( c3_1 @ a355 )
   <= ~ ( c3_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl958,plain,
    ( ( ~ ( c0_1 @ a355 )
      | ( c2_1 @ a355 ) )
   <= ( ~ ( c3_1 @ a355 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl581]) ).

thf(zip_derived_cl1100,plain,
    ( ( c2_1 @ a355 )
   <= ( c2_1 @ a355 ) ),
    inference(split,[status(esa)],[zip_derived_cl958]) ).

thf('133',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c1_1 @ a355 )
    | ~ ( c2_1 @ a355 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2545,zip_derived_cl1100]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp17
    | ( c1_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ( c1_1 @ a353 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp17
    | ( c2_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ( c2_1 @ a353 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a353 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c0_1 @ a353 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl383_061,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c2_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl597,plain,
    ( ~ ( c0_1 @ a353 )
   <= ~ ( c0_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1856,plain,
    ( ( ~ ( c2_1 @ a353 )
      | ~ ( c1_1 @ a353 ) )
   <= ( ~ ( c0_1 @ a353 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl597]) ).

thf('137',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c2_1 @ X65 ) )
    | ~ ( c1_1 @ a353 )
    | ( c0_1 @ a353 )
    | ~ ( c2_1 @ a353 ) ),
    inference(split,[status(esa)],[zip_derived_cl1856]) ).

thf(zip_derived_cl689_062,plain,
    ( ( c0_1 @ a327 )
   <= ( c0_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl256_063,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1558,plain,
    ( ( ( c2_1 @ a327 )
      | ~ ( c1_1 @ a327 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a327 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl256]) ).

thf('138',plain,
    ( ( c2_1 @ a327 )
    | ~ ( c0_1 @ a327 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a327 ) ),
    inference(split,[status(esa)],[zip_derived_cl1558]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c0_1 @ a419 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c0_1 @ a419 )
   <= ( c0_1 @ a419 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl335_064,plain,
    ( ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c1_1 @ X46 )
        | ( c2_1 @ X46 )
        | ~ ( c0_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1748,plain,
    ( ( ( c1_1 @ a419 )
      | ( c2_1 @ a419 ) )
   <= ( ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c0_1 @ X46 ) )
      & ( c0_1 @ a419 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl335]) ).

thf('139',plain,
    ( ~ ( c0_1 @ a419 )
    | ( c1_1 @ a419 )
    | ~ ! [X46: $i] :
          ( ( c1_1 @ X46 )
          | ( c2_1 @ X46 )
          | ~ ( c0_1 @ X46 ) )
    | ( c2_1 @ a419 ) ),
    inference(split,[status(esa)],[zip_derived_cl1748]) ).

thf('140',plain,
    ( ( c0_1 @ a419 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a419 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ~ ( c1_1 @ a419 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a419 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ ( c2_1 @ a419 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl4,plain,
    ( hskp25
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( hskp25
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ( c3_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c3_1 @ a349 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ( c1_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c1_1 @ a349 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a349 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c2_1 @ a349 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl603,plain,
    ( ( c3_1 @ a349 )
   <= ( c3_1 @ a349 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl253_065,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1350,plain,
    ( ( ( c2_1 @ a349 )
      | ~ ( c1_1 @ a349 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a349 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl253]) ).

thf('147',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c1_1 @ a349 )
    | ( c2_1 @ a349 )
    | ~ ( c3_1 @ a349 ) ),
    inference(split,[status(esa)],[zip_derived_cl1350]) ).

thf('148',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('149',plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf('150',plain,
    ( ( c3_1 @ a330 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c1_1 @ a330 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl673_066,plain,
    ( ( c3_1 @ a330 )
   <= ( c3_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl284_067,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1555,plain,
    ( ( ( c1_1 @ a330 )
      | ~ ( c2_1 @ a330 ) )
   <= ( ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a330 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl284]) ).

thf('152',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c2_1 @ a330 )
    | ( c1_1 @ a330 )
    | ~ ( c3_1 @ a330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1555]) ).

thf(zip_derived_cl26,plain,
    ! [X23: $i,X24: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | hskp22
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp27
    | ( c1_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c1_1 @ a341 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp27
    | ( c2_1 @ a341 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ( c2_1 @ a341 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('156',plain,
    ( ( c3_1 @ a341 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl517_068,plain,
    ( ( c3_1 @ a341 )
   <= ( c3_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl221_069,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1185,plain,
    ( ( ~ ( c1_1 @ a341 )
      | ~ ( c2_1 @ a341 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a341 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl221]) ).

thf('157',plain,
    ( ~ ( c2_1 @ a341 )
    | ~ ( c3_1 @ a341 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a341 ) ),
    inference(split,[status(esa)],[zip_derived_cl1185]) ).

thf('158',plain,
    ( hskp26
    | hskp27
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('159',plain,
    ( ( c3_1 @ a333 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl525_070,plain,
    ( ( c3_1 @ a333 )
   <= ( c3_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl221_071,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1231,plain,
    ( ( ~ ( c1_1 @ a333 )
      | ~ ( c2_1 @ a333 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl221]) ).

thf('160',plain,
    ( ~ ( c2_1 @ a333 )
    | ~ ( c3_1 @ a333 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl521,plain,
    ( ( c0_1 @ a333 )
   <= ( c0_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl256_072,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1195,plain,
    ( ( ( c2_1 @ a333 )
      | ~ ( c1_1 @ a333 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ( c0_1 @ a333 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl256]) ).

thf('161',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ( c2_1 @ a333 )
    | ~ ( c0_1 @ a333 )
    | ~ ( c1_1 @ a333 ) ),
    inference(split,[status(esa)],[zip_derived_cl1195]) ).

thf('162',plain,
    ( hskp8
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a332 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c0_1 @ a332 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl424_073,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl665,plain,
    ( ~ ( c0_1 @ a332 )
   <= ~ ( c0_1 @ a332 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl2170,plain,
    ( ( ~ ( c1_1 @ a332 )
      | ( c2_1 @ a332 ) )
   <= ( ~ ( c0_1 @ a332 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl665]) ).

thf('164',plain,
    ( ~ ( c1_1 @ a332 )
    | ( c0_1 @ a332 )
    | ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ( c2_1 @ a332 ) ),
    inference(split,[status(esa)],[zip_derived_cl2170]) ).

thf(zip_derived_cl40,plain,
    ! [X48: $i] :
      ( ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl669,plain,
    ( ~ ( c3_1 @ a332 )
   <= ~ ( c3_1 @ a332 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1796,plain,
    ( ( ( c2_1 @ a332 )
      | ( c1_1 @ a332 ) )
   <= ( ~ ( c3_1 @ a332 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl669]) ).

thf('165',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c1_1 @ a332 )
    | ( c3_1 @ a332 )
    | ( c2_1 @ a332 ) ),
    inference(split,[status(esa)],[zip_derived_cl1796]) ).

thf(zip_derived_cl42,plain,
    ! [X50: $i,X51: $i] :
      ( ( c1_1 @ X50 )
      | ( c2_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c3_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp21
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c1_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ~ ( c0_1 @ a359 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl424_074,plain,
    ( ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) )
   <= ! [X85: $i] :
        ( ( c0_1 @ X85 )
        | ( c2_1 @ X85 )
        | ~ ( c1_1 @ X85 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( c0_1 @ a359 )
   <= ~ ( c0_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl2180,plain,
    ( ( ~ ( c1_1 @ a359 )
      | ( c2_1 @ a359 ) )
   <= ( ~ ( c0_1 @ a359 )
      & ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl563]) ).

thf('168',plain,
    ( ~ ( c1_1 @ a359 )
    | ( c0_1 @ a359 )
    | ~ ! [X85: $i] :
          ( ( c0_1 @ X85 )
          | ( c2_1 @ X85 )
          | ~ ( c1_1 @ X85 ) )
    | ( c2_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl2180]) ).

thf(zip_derived_cl561,plain,
    ( ( c3_1 @ a359 )
   <= ( c3_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl329_075,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1690,plain,
    ( ( ( c1_1 @ a359 )
      | ( c2_1 @ a359 ) )
   <= ( ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a359 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl329]) ).

thf('169',plain,
    ( ( c1_1 @ a359 )
    | ~ ( c3_1 @ a359 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ( c2_1 @ a359 ) ),
    inference(split,[status(esa)],[zip_derived_cl1690]) ).

thf(zip_derived_cl6665,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kSqu6skM6s true
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 17:35:50 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.81/1.45  % Solved by fo/fo1_av.sh.
% 5.81/1.45  % done 2134 iterations in 0.674s
% 5.81/1.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.81/1.45  % SZS output start Refutation
% See solution above
% 5.81/1.46  
% 5.81/1.46  
% 5.81/1.46  % Terminating...
% 5.81/1.46  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.72/1.58  % Runner terminated.
% 6.72/1.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------