TSTP Solution File: SYN469+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN469+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.cVMq7MtJ6P true

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:49 EDT 2023

% Result   : Theorem 5.12s 1.45s
% Output   : Refutation 5.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  841 (   1 unt;  63 typ;   0 def)
%            Number of atoms       : 5152 (   0 equ;   0 cnn)
%            Maximal formula atoms :  667 (   6 avg)
%            Number of connectives : 11270 (2729   ~;3241   |; 538   &;4167   @)
%                                         (   0 <=>; 214  =>; 381  <=;   0 <~>)
%            Maximal formula depth :  102 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;  60 con; 0-1 aty)
%            Number of variables   :  983 (   0   ^; 983   !;   0   ?; 983   :)

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

thf(a403_type,type,
    a403: $i ).

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

thf(a420_type,type,
    a420: $i ).

thf(a460_type,type,
    a460: $i ).

thf(a414_type,type,
    a414: $i ).

thf(a434_type,type,
    a434: $i ).

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

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

thf(a400_type,type,
    a400: $i ).

thf(a409_type,type,
    a409: $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(a404_type,type,
    a404: $i ).

thf(a445_type,type,
    a445: $i ).

thf(a451_type,type,
    a451: $i ).

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

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

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

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

thf(c0_1_type,type,
    c0_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(a416_type,type,
    a416: $i ).

thf(a426_type,type,
    a426: $i ).

thf(a440_type,type,
    a440: $i ).

thf(a450_type,type,
    a450: $i ).

thf(a407_type,type,
    a407: $i ).

thf(a439_type,type,
    a439: $i ).

thf(a430_type,type,
    a430: $i ).

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

thf(a449_type,type,
    a449: $i ).

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

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

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

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

thf(a405_type,type,
    a405: $i ).

thf(a415_type,type,
    a415: $i ).

thf(a427_type,type,
    a427: $i ).

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

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

thf(a428_type,type,
    a428: $i ).

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

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

thf(a408_type,type,
    a408: $i ).

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

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

thf(a477_type,type,
    a477: $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(a402_type,type,
    a402: $i ).

thf(a412_type,type,
    a412: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a400 )
          & ( c2_1 @ a400 )
          & ~ ( c3_1 @ a400 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a401 )
          & ( c1_1 @ a401 )
          & ~ ( c3_1 @ a401 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a402 )
          & ~ ( c1_1 @ a402 )
          & ~ ( c2_1 @ a402 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c0_1 @ a403 )
          & ~ ( c2_1 @ a403 )
          & ~ ( c3_1 @ a403 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a404 )
          & ( c3_1 @ a404 )
          & ~ ( c2_1 @ a404 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a408 )
          & ( c3_1 @ a408 )
          & ~ ( c0_1 @ a408 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a409 )
          & ~ ( c0_1 @ a409 )
          & ~ ( c3_1 @ a409 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a410 )
          & ~ ( c1_1 @ a410 )
          & ~ ( c3_1 @ a410 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a415 )
          & ( c3_1 @ a415 )
          & ~ ( c1_1 @ a415 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c3_1 @ a416 )
          & ~ ( c0_1 @ a416 )
          & ~ ( c1_1 @ a416 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a418 )
          & ~ ( c0_1 @ a418 )
          & ~ ( c2_1 @ a418 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c0_1 @ a420 )
          & ~ ( c1_1 @ a420 )
          & ~ ( c2_1 @ a420 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a426 )
          & ( c1_1 @ a426 )
          & ~ ( c2_1 @ a426 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a427 )
          & ( c2_1 @ a427 )
          & ~ ( c0_1 @ a427 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a428 )
          & ~ ( c0_1 @ a428 )
          & ~ ( c1_1 @ a428 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a430 )
          & ( c2_1 @ a430 )
          & ~ ( c3_1 @ a430 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a434 )
          & ~ ( c0_1 @ a434 )
          & ~ ( c3_1 @ a434 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c1_1 @ a439 )
          & ~ ( c2_1 @ a439 )
          & ~ ( c3_1 @ a439 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a440 )
          & ~ ( c2_1 @ a440 )
          & ~ ( c3_1 @ a440 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a445 )
          & ( c3_1 @ a445 )
          & ~ ( c0_1 @ a445 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a449 )
          & ( c3_1 @ a449 )
          & ~ ( c2_1 @ a449 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ ( c0_1 @ a450 )
          & ~ ( c1_1 @ a450 )
          & ~ ( c3_1 @ a450 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a451 )
          & ( c2_1 @ a451 )
          & ~ ( c1_1 @ a451 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a460 )
          & ~ ( c2_1 @ a460 )
          & ~ ( c3_1 @ a460 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a477 )
          & ~ ( c0_1 @ a477 )
          & ~ ( c2_1 @ a477 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a405 )
          & ( c1_1 @ a405 )
          & ( c3_1 @ a405 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a407 )
          & ( c2_1 @ a407 )
          & ( c3_1 @ a407 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a412 )
          & ( c1_1 @ a412 )
          & ( c2_1 @ a412 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a414 )
          & ( c2_1 @ a414 )
          & ( c3_1 @ a414 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ~ ( c2_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X )
              | ~ ( c0_1 @ X )
              | ~ ( c1_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) ) )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X5 )
              | ~ ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp3 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c2_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ( c3_1 @ X8 )
              | ~ ( c1_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp4 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X12 )
              | ( c2_1 @ X12 )
              | ~ ( c0_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ~ ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) ) )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp25
        | hskp3 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp26
        | hskp5 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c3_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | hskp6 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | hskp7 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X24 )
              | ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp4 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | hskp27
        | hskp0 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp28 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X33 )
              | ~ ( c0_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | hskp4 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp10 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | hskp0
        | hskp11 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp5
        | hskp3 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) )
        | hskp9 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp1 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c0_1 @ X43 ) ) )
        | hskp9 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | hskp12 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp13 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp14 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c0_1 @ X51 ) ) )
        | hskp1 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) ) )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp15
        | hskp6 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) ) )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp27
        | hskp9 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp16
        | hskp3 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 ) ) )
        | hskp11 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) ) )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | hskp4 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp2
        | hskp17 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp18
        | hskp3 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp9 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | hskp12
        | hskp1 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp19 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp3 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp4
        | hskp3 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp20
        | hskp21 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp22 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | hskp2
        | hskp11 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp20 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp28
        | hskp4 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | hskp2
        | hskp7 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp27
        | hskp23 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp12
        | hskp9 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp7
        | hskp16 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c1_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp25
        | hskp28 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp2
        | hskp13 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp4
        | hskp5 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp20 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c1_1 @ X97 ) ) )
        | hskp20
        | hskp5 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | hskp12
        | hskp10 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | hskp19
        | hskp24 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp22
        | hskp11 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp4
        | hskp9 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a400 )
        & ( c2_1 @ a400 )
        & ~ ( c3_1 @ a400 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a401 )
        & ( c1_1 @ a401 )
        & ~ ( c3_1 @ a401 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a402 )
        & ~ ( c1_1 @ a402 )
        & ~ ( c2_1 @ a402 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c0_1 @ a403 )
        & ~ ( c2_1 @ a403 )
        & ~ ( c3_1 @ a403 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a404 )
        & ( c3_1 @ a404 )
        & ~ ( c2_1 @ a404 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a408 )
        & ( c3_1 @ a408 )
        & ~ ( c0_1 @ a408 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a409 )
        & ~ ( c0_1 @ a409 )
        & ~ ( c3_1 @ a409 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a410 )
        & ~ ( c1_1 @ a410 )
        & ~ ( c3_1 @ a410 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a415 )
        & ( c3_1 @ a415 )
        & ~ ( c1_1 @ a415 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c3_1 @ a416 )
        & ~ ( c0_1 @ a416 )
        & ~ ( c1_1 @ a416 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a418 )
        & ~ ( c0_1 @ a418 )
        & ~ ( c2_1 @ a418 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c0_1 @ a420 )
        & ~ ( c1_1 @ a420 )
        & ~ ( c2_1 @ a420 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a426 )
        & ( c1_1 @ a426 )
        & ~ ( c2_1 @ a426 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a427 )
        & ( c2_1 @ a427 )
        & ~ ( c0_1 @ a427 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a428 )
        & ~ ( c0_1 @ a428 )
        & ~ ( c1_1 @ a428 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a430 )
        & ( c2_1 @ a430 )
        & ~ ( c3_1 @ a430 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a434 )
        & ~ ( c0_1 @ a434 )
        & ~ ( c3_1 @ a434 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c1_1 @ a439 )
        & ~ ( c2_1 @ a439 )
        & ~ ( c3_1 @ a439 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a440 )
        & ~ ( c2_1 @ a440 )
        & ~ ( c3_1 @ a440 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a445 )
        & ( c3_1 @ a445 )
        & ~ ( c0_1 @ a445 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a449 )
        & ( c3_1 @ a449 )
        & ~ ( c2_1 @ a449 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ ( c0_1 @ a450 )
        & ~ ( c1_1 @ a450 )
        & ~ ( c3_1 @ a450 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a451 )
        & ( c2_1 @ a451 )
        & ~ ( c1_1 @ a451 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a460 )
        & ~ ( c2_1 @ a460 )
        & ~ ( c3_1 @ a460 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a477 )
        & ~ ( c0_1 @ a477 )
        & ~ ( c2_1 @ a477 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a405 )
        & ( c1_1 @ a405 )
        & ( c3_1 @ a405 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a407 )
        & ( c2_1 @ a407 )
        & ( c3_1 @ a407 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a412 )
        & ( c1_1 @ a412 )
        & ( c2_1 @ a412 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a414 )
        & ( c2_1 @ a414 )
        & ( c3_1 @ a414 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ~ ( c2_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X )
            | ~ ( c0_1 @ X )
            | ~ ( c1_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) ) )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X5 )
            | ~ ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp3 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c2_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ( c3_1 @ X8 )
            | ~ ( c1_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp4 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X12 )
            | ( c2_1 @ X12 )
            | ~ ( c0_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ~ ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) ) )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp25
      | hskp3 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp26
      | hskp5 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c3_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | hskp6 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | hskp7 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X24 )
            | ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp4 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | hskp27
      | hskp0 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp28 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X33 )
            | ~ ( c0_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | hskp4 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp10 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | hskp0
      | hskp11 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp5
      | hskp3 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) )
      | hskp9 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp1 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c0_1 @ X43 ) ) )
      | hskp9 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | hskp12 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp13 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp14 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c0_1 @ X51 ) ) )
      | hskp1 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) ) )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp15
      | hskp6 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) ) )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp27
      | hskp9 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp16
      | hskp3 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 ) ) )
      | hskp11 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) ) )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | hskp4 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp2
      | hskp17 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp18
      | hskp3 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp9 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | hskp12
      | hskp1 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp19 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp3 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp4
      | hskp3 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp20
      | hskp21 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp22 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | hskp2
      | hskp11 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp20 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp28
      | hskp4 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | hskp2
      | hskp7 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp27
      | hskp23 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp12
      | hskp9 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp7
      | hskp16 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c1_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp25
      | hskp28 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp2
      | hskp13 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp4
      | hskp5 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp20 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c1_1 @ X97 ) ) )
      | hskp20
      | hskp5 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | hskp12
      | hskp10 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | hskp19
      | hskp24 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp22
      | hskp11 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp2
    | ( c0_1 @ a402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    ( ( c0_1 @ a402 )
   <= ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp2
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1201,plain,
    ( ( ( c2_1 @ a402 )
      | ( c3_1 @ a402 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl255]) ).

thf('0',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c3_1 @ a402 )
    | ( c2_1 @ a402 )
    | ~ ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1201]) ).

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

thf('1',plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl54,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c1_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c3_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | hskp4
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl50,plain,
    ! [X70: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp9
    | hskp8
    | ~ ndr1_0
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl21,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a415 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( c1_1 @ a415 )
   <= ~ ( c1_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl748,plain,
    ( ( ~ ( c3_1 @ a415 )
      | ~ ( c0_1 @ a415 ) )
   <= ( ~ ( c1_1 @ a415 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl615]) ).

thf('4',plain,
    ( ( c1_1 @ a415 )
    | ~ ( c0_1 @ a415 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl748]) ).

thf(zip_derived_cl33,plain,
    ! [X40: $i,X41: $i] :
      ( ( c0_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c3_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl775,plain,
    ( ~ ( c0_1 @ a415 )
   <= ~ ( c0_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl748]) ).

thf(zip_derived_cl1318,plain,
    ( ( ~ ( c3_1 @ a415 )
      | ~ ( c2_1 @ a415 ) )
   <= ( ~ ( c0_1 @ a415 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl775]) ).

thf('5',plain,
    ( ( c0_1 @ a415 )
    | ~ ( c2_1 @ a415 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl1318]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp19
    | ( c1_1 @ a445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ( c1_1 @ a445 )
   <= ( c1_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl377,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1579,plain,
    ( ( ( c0_1 @ a445 )
      | ( c2_1 @ a445 ) )
   <= ( ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
      & ( c1_1 @ a445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl377]) ).

thf('6',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c2_1 @ a445 )
    | ( c0_1 @ a445 )
    | ~ ( c1_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1579]) ).

thf(zip_derived_cl311_001,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ~ ( c0_1 @ a445 )
   <= ~ ( c0_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1327,plain,
    ( ( ~ ( c3_1 @ a445 )
      | ~ ( c2_1 @ a445 ) )
   <= ( ~ ( c0_1 @ a445 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl527]) ).

thf('7',plain,
    ( ~ ( c2_1 @ a445 )
    | ( c0_1 @ a445 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1327]) ).

thf(zip_derived_cl523_002,plain,
    ( ( c1_1 @ a445 )
   <= ( c1_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl34,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp16
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1285,plain,
    ( ( ( c0_1 @ a445 )
      | ~ ( c3_1 @ a445 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl314]) ).

thf('8',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a445 )
    | ( c0_1 @ a445 )
    | ~ ( c3_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1285]) ).

thf(zip_derived_cl24,plain,
    ! [X23: $i,X24: $i] :
      ( ( c1_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( hskp19
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl42,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ( c1_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | hskp12
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl311_003,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ~ ( c0_1 @ a428 )
   <= ~ ( c0_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1324,plain,
    ( ( ~ ( c3_1 @ a428 )
      | ~ ( c2_1 @ a428 ) )
   <= ( ~ ( c0_1 @ a428 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl565]) ).

thf('11',plain,
    ( ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a428 )
    | ( c0_1 @ a428 )
    | ~ ( c2_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl1324]) ).

thf(zip_derived_cl263_004,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl754,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ~ ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl503]) ).

thf('12',plain,
    ( ~ ( c3_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl754]) ).

thf(zip_derived_cl36,plain,
    ! [X44: $i,X45: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | ( c1_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl65,plain,
    ! [X101: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl437,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ~ ( c1_1 @ a420 )
   <= ~ ( c1_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1926,plain,
    ( ( ( c2_1 @ a420 )
      | ( c0_1 @ a420 ) )
   <= ( ~ ( c1_1 @ a420 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl589]) ).

thf('14',plain,
    ( ( c0_1 @ a420 )
    | ( c1_1 @ a420 )
    | ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) )
    | ( c2_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl1926]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp1
    | ( c0_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl667,plain,
    ( ( c0_1 @ a401 )
   <= ( c0_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl38,plain,
    ! [X47: $i,X48: $i,X49: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | ( c1_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c3_1 @ X49 )
      | ~ ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ! [X49: $i] :
        ( ( c3_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c3_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1411,plain,
    ( ( ( c3_1 @ a401 )
      | ~ ( c2_1 @ a401 ) )
   <= ( ! [X49: $i] :
          ( ( c3_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c0_1 @ a401 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl330]) ).

thf('15',plain,
    ( ~ ! [X49: $i] :
          ( ( c3_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a401 )
    | ~ ( c0_1 @ a401 )
    | ( c3_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl1411]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp1
    | ( c1_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl669,plain,
    ( ( c1_1 @ a401 )
   <= ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl16,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl243,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1212,plain,
    ( ( ( c2_1 @ a401 )
      | ( c3_1 @ a401 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a401 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl243]) ).

thf('16',plain,
    ( ( c2_1 @ a401 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c3_1 @ a401 )
    | ~ ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl1212]) ).

thf(zip_derived_cl39,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( hskp1
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl32,plain,
    ! [X37: $i,X38: $i,X39: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl308,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl621,plain,
    ( ~ ( c1_1 @ a410 )
   <= ~ ( c1_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1232,plain,
    ( ( ~ ( c0_1 @ a410 )
      | ( c2_1 @ a410 ) )
   <= ( ~ ( c1_1 @ a410 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl621]) ).

thf('18',plain,
    ( ( c2_1 @ a410 )
    | ( c1_1 @ a410 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c0_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl1232]) ).

thf(zip_derived_cl58,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp26
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl409,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ~ ( c1_1 @ a428 )
   <= ~ ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1819,plain,
    ( ( ~ ( c2_1 @ a428 )
      | ( c0_1 @ a428 ) )
   <= ( ~ ( c1_1 @ a428 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl567]) ).

thf('19',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ( c0_1 @ a428 )
    | ( c1_1 @ a428 )
    | ~ ( c2_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl1819]) ).

thf(zip_derived_cl40,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl575,plain,
    ( ~ ( c0_1 @ a427 )
   <= ~ ( c0_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1486,plain,
    ( ( ~ ( c2_1 @ a427 )
      | ( c3_1 @ a427 ) )
   <= ( ~ ( c0_1 @ a427 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl575]) ).

thf('20',plain,
    ( ( c3_1 @ a427 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ( c0_1 @ a427 )
    | ~ ( c2_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf('21',plain,
    ( hskp26
    | hskp5
    | ~ ndr1_0
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl311_005,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl575_006,plain,
    ( ~ ( c0_1 @ a427 )
   <= ~ ( c0_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1323,plain,
    ( ( ~ ( c3_1 @ a427 )
      | ~ ( c2_1 @ a427 ) )
   <= ( ~ ( c0_1 @ a427 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl575]) ).

thf('22',plain,
    ( ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a427 )
    | ( c0_1 @ a427 )
    | ~ ( c2_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf(zip_derived_cl311_007,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp26
    | ( c1_1 @ a407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl467,plain,
    ( ( c1_1 @ a407 )
   <= ( c1_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp19
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl991,plain,
    ( ( ~ ( c0_1 @ a407 )
      | ~ ( c2_1 @ a407 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a407 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl204]) ).

thf(zip_derived_cl1004,plain,
    ( ~ ( c0_1 @ a407 )
   <= ~ ( c0_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf(zip_derived_cl1334,plain,
    ( ( ~ ( c3_1 @ a407 )
      | ~ ( c2_1 @ a407 ) )
   <= ( ~ ( c0_1 @ a407 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl1004]) ).

thf('23',plain,
    ( ( c0_1 @ a407 )
    | ~ ( c3_1 @ a407 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c2_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp26
    | ( c2_1 @ a407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c2_1 @ a407 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp26
    | ( c3_1 @ a407 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c3_1 @ a407 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl467_008,plain,
    ( ( c1_1 @ a407 )
   <= ( c1_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl314_009,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1289,plain,
    ( ( ( c0_1 @ a407 )
      | ~ ( c3_1 @ a407 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a407 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl314]) ).

thf(zip_derived_cl3898,plain,
    ( ( c0_1 @ a407 )
   <= ( c0_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl1289]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp4
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl3900,plain,
    ( ( ~ ( c2_1 @ a407 )
      | ~ ( c3_1 @ a407 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a407 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3898,zip_derived_cl196]) ).

thf('26',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a407 )
    | ~ ( c2_1 @ a407 )
    | ~ ( c3_1 @ a407 ) ),
    inference(split,[status(esa)],[zip_derived_cl3900]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp13
    | ( c1_1 @ a427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c1_1 @ a427 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl571,plain,
    ( ( c1_1 @ a427 )
   <= ( c1_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl37,plain,
    ! [X46: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | hskp15
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1381,plain,
    ( ( ( c0_1 @ a427 )
      | ~ ( c2_1 @ a427 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c1_1 @ a427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl571,zip_derived_cl325]) ).

thf('28',plain,
    ( ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c1_1 @ a427 )
    | ( c0_1 @ a427 )
    | ~ ( c2_1 @ a427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1381]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp13
    | ( c2_1 @ a427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ( c2_1 @ a427 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('30',plain,
    ( ~ ( c0_1 @ a427 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl11,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp2
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp13
    | hskp2
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp25
    | ( c0_1 @ a405 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl475,plain,
    ( ( c0_1 @ a405 )
   <= ( c0_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl13,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1013,plain,
    ( ( ( c2_1 @ a405 )
      | ~ ( c3_1 @ a405 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a405 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl231]) ).

thf('32',plain,
    ( ( c2_1 @ a405 )
    | ~ ( c0_1 @ a405 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf('33',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl61,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a430 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('36',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ! [X49: $i] :
        ( ( c3_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf('37',plain,
    ( hskp15
    | hskp6
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp15
    | ( c0_1 @ a430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl555,plain,
    ( ( c0_1 @ a430 )
   <= ( c0_1 @ a430 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl330_010,plain,
    ( ! [X49: $i] :
        ( ( c3_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c3_1 @ X49 )
        | ~ ( c0_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1416,plain,
    ( ( ( c3_1 @ a430 )
      | ~ ( c2_1 @ a430 ) )
   <= ( ! [X49: $i] :
          ( ( c3_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c0_1 @ a430 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl555,zip_derived_cl330]) ).

thf('38',plain,
    ( ~ ! [X49: $i] :
          ( ( c3_1 @ X49 )
          | ~ ( c0_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a430 )
    | ~ ( c0_1 @ a430 )
    | ( c3_1 @ a430 ) ),
    inference(split,[status(esa)],[zip_derived_cl1416]) ).

thf(zip_derived_cl30,plain,
    ! [X32: $i,X33: $i,X34: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | ( c1_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl299,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ~ ( c1_1 @ a416 )
   <= ~ ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1074,plain,
    ( ( ~ ( c3_1 @ a416 )
      | ~ ( c2_1 @ a416 ) )
   <= ( ~ ( c1_1 @ a416 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl607]) ).

thf('39',plain,
    ( ~ ( c2_1 @ a416 )
    | ( c1_1 @ a416 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c3_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1074]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp6
    | ( c2_1 @ a409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ( c2_1 @ a409 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a409 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a409 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a409 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl338_011,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl629,plain,
    ( ~ ( c0_1 @ a409 )
   <= ~ ( c0_1 @ a409 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1479,plain,
    ( ( ~ ( c2_1 @ a409 )
      | ( c3_1 @ a409 ) )
   <= ( ~ ( c0_1 @ a409 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl629]) ).

thf('43',plain,
    ( ( c3_1 @ a409 )
    | ( c0_1 @ a409 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a409 ) ),
    inference(split,[status(esa)],[zip_derived_cl1479]) ).

thf('44',plain,
    ( hskp1
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl437_012,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl607_013,plain,
    ( ~ ( c1_1 @ a416 )
   <= ~ ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1925,plain,
    ( ( ( c2_1 @ a416 )
      | ( c0_1 @ a416 ) )
   <= ( ~ ( c1_1 @ a416 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl607]) ).

thf('45',plain,
    ( ( c2_1 @ a416 )
    | ( c1_1 @ a416 )
    | ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) )
    | ( c0_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1925]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp12
    | ( c1_1 @ a426 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( c1_1 @ a426 )
   <= ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl243_014,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1154,plain,
    ( ( ( c2_1 @ a426 )
      | ( c3_1 @ a426 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a426 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl243]) ).

thf('46',plain,
    ( ( c3_1 @ a426 )
    | ( c2_1 @ a426 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl1154]) ).

thf(zip_derived_cl18,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp20
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl311_015,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl196_016,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1310,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl196]) ).

thf(zip_derived_cl1359,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1310]) ).

thf(zip_derived_cl28,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp18
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl223,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl954,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl223]) ).

thf(zip_derived_cl976,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl954]) ).

thf(zip_derived_cl2444,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1359,zip_derived_cl976]) ).

thf(zip_derived_cl2468,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2444]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp19
    | ( c3_1 @ a445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c3_1 @ a445 )
   <= ( c3_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('48',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a445 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2468,zip_derived_cl525]) ).

thf(zip_derived_cl2468_017,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2444]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp24
    | ( c3_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ( c3_1 @ a477 )
   <= ( c3_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('49',plain,
    ( ~ ( c3_1 @ a477 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2468,zip_derived_cl483]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp27
    | ( c0_1 @ a412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl459,plain,
    ( ( c0_1 @ a412 )
   <= ( c0_1 @ a412 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl196_018,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl938,plain,
    ( ( ~ ( c2_1 @ a412 )
      | ~ ( c3_1 @ a412 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a412 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl196]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a412 )
    | ~ ( c2_1 @ a412 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a412 ) ),
    inference(split,[status(esa)],[zip_derived_cl938]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp27
    | ( c1_1 @ a412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl461,plain,
    ( ( c1_1 @ a412 )
   <= ( c1_1 @ a412 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl8,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp20
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl984,plain,
    ( ( ( c3_1 @ a412 )
      | ~ ( c0_1 @ a412 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a412 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl212]) ).

thf('51',plain,
    ( ( c3_1 @ a412 )
    | ~ ( c0_1 @ a412 )
    | ~ ( c1_1 @ a412 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp0
    | ( c1_1 @ a400 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl675,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl212_019,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1260,plain,
    ( ( ( c3_1 @ a400 )
      | ~ ( c0_1 @ a400 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl212]) ).

thf('52',plain,
    ( ( c3_1 @ a400 )
    | ~ ( c0_1 @ a400 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1260]) ).

thf(zip_derived_cl59,plain,
    ! [X87: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ndr1_0
      | hskp25
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( hskp3
    | hskp25
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl409_020,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl615_021,plain,
    ( ~ ( c1_1 @ a415 )
   <= ~ ( c1_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1816,plain,
    ( ( ~ ( c2_1 @ a415 )
      | ( c0_1 @ a415 ) )
   <= ( ~ ( c1_1 @ a415 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl615]) ).

thf('54',plain,
    ( ( c0_1 @ a415 )
    | ( c1_1 @ a415 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ~ ( c2_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl1816]) ).

thf(zip_derived_cl394,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl615_022,plain,
    ( ~ ( c1_1 @ a415 )
   <= ~ ( c1_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1712,plain,
    ( ( ~ ( c3_1 @ a415 )
      | ( c0_1 @ a415 ) )
   <= ( ~ ( c1_1 @ a415 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl615]) ).

thf(zip_derived_cl4494,plain,
    ( ( c0_1 @ a415 )
   <= ( c0_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl1712]) ).

thf(zip_derived_cl196_023,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl4496,plain,
    ( ( ~ ( c2_1 @ a415 )
      | ~ ( c3_1 @ a415 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a415 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4494,zip_derived_cl196]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a415 )
    | ~ ( c0_1 @ a415 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl4496]) ).

thf(zip_derived_cl5,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp22
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( hskp11
    | hskp22
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl299_024,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl615_025,plain,
    ( ~ ( c1_1 @ a415 )
   <= ~ ( c1_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1073,plain,
    ( ( ~ ( c3_1 @ a415 )
      | ~ ( c2_1 @ a415 ) )
   <= ( ~ ( c1_1 @ a415 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl615]) ).

thf('57',plain,
    ( ( c1_1 @ a415 )
    | ~ ( c2_1 @ a415 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c3_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl1073]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp8
    | ( c2_1 @ a415 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ( c2_1 @ a415 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp8
    | ( c3_1 @ a415 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ( c3_1 @ a415 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('60',plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a415 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ~ ( c1_1 @ a439 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl26,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | hskp12
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl539,plain,
    ( ~ ( c1_1 @ a439 )
   <= ~ ( c1_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl905,plain,
    ( ( ~ ( c0_1 @ a439 )
      | ( c3_1 @ a439 ) )
   <= ( ~ ( c1_1 @ a439 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl539]) ).

thf('62',plain,
    ( ~ ( c0_1 @ a439 )
    | ( c1_1 @ a439 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c3_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl905]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c2_1 @ a439 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a439 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c3_1 @ a439 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl53,plain,
    ! [X76: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl389,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl263_026,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl539_027,plain,
    ( ~ ( c1_1 @ a439 )
   <= ~ ( c1_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl752,plain,
    ( ( ~ ( c3_1 @ a439 )
      | ~ ( c0_1 @ a439 ) )
   <= ( ~ ( c1_1 @ a439 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl539]) ).

thf(zip_derived_cl784,plain,
    ( ~ ( c0_1 @ a439 )
   <= ~ ( c0_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl752]) ).

thf(zip_derived_cl1763,plain,
    ( ( ( c3_1 @ a439 )
      | ( c2_1 @ a439 ) )
   <= ( ~ ( c0_1 @ a439 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl784]) ).

thf('65',plain,
    ( ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c2_1 @ a439 )
    | ( c3_1 @ a439 )
    | ( c0_1 @ a439 ) ),
    inference(split,[status(esa)],[zip_derived_cl1763]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp25
    | ( c1_1 @ a405 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl477,plain,
    ( ( c1_1 @ a405 )
   <= ( c1_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl223_028,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1018,plain,
    ( ( ( c2_1 @ a405 )
      | ~ ( c3_1 @ a405 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a405 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl223]) ).

thf('66',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c2_1 @ a405 )
    | ~ ( c1_1 @ a405 )
    | ~ ( c3_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl1018]) ).

thf(zip_derived_cl581_029,plain,
    ( ( c1_1 @ a426 )
   <= ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl223_030,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1152,plain,
    ( ( ( c2_1 @ a426 )
      | ~ ( c3_1 @ a426 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a426 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl223]) ).

thf('67',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a426 )
    | ( c2_1 @ a426 )
    | ~ ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl1152]) ).

thf(zip_derived_cl581_031,plain,
    ( ( c1_1 @ a426 )
   <= ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl212_032,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1151,plain,
    ( ( ( c3_1 @ a426 )
      | ~ ( c0_1 @ a426 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a426 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl212]) ).

thf('68',plain,
    ( ( c3_1 @ a426 )
    | ~ ( c0_1 @ a426 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a401 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a401 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl669_033,plain,
    ( ( c1_1 @ a401 )
   <= ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl212_034,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1209,plain,
    ( ( ( c3_1 @ a401 )
      | ~ ( c0_1 @ a401 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a401 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl212]) ).

thf('70',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a401 )
    | ( c3_1 @ a401 )
    | ~ ( c0_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl1209]) ).

thf(zip_derived_cl46,plain,
    ! [X64: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | hskp5
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl527_035,plain,
    ( ~ ( c0_1 @ a445 )
   <= ~ ( c0_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1648,plain,
    ( ( ~ ( c3_1 @ a445 )
      | ( c2_1 @ a445 ) )
   <= ( ~ ( c0_1 @ a445 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl527]) ).

thf('71',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ( c2_1 @ a445 )
    | ~ ( c3_1 @ a445 )
    | ( c0_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1648]) ).

thf('72',plain,
    ( ( c1_1 @ a445 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('73',plain,
    ( ( c3_1 @ a445 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a445 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf('75',plain,
    ( hskp24
    | hskp19
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl394_036,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl567_037,plain,
    ( ~ ( c1_1 @ a428 )
   <= ~ ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1715,plain,
    ( ( ~ ( c3_1 @ a428 )
      | ( c0_1 @ a428 ) )
   <= ( ~ ( c1_1 @ a428 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl567]) ).

thf('76',plain,
    ( ~ ( c3_1 @ a428 )
    | ( c0_1 @ a428 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl1715]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp14
    | ( c2_1 @ a428 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ( c2_1 @ a428 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('78',plain,
    ( ~ ( c0_1 @ a428 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('79',plain,
    ( hskp11
    | ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('80',plain,
    ( hskp20
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('81',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('82',plain,
    ( hskp18
    | hskp3
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl276,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl503_038,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl845,plain,
    ( ( ~ ( c2_1 @ a451 )
      | ( c3_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl503]) ).

thf('83',plain,
    ( ( c3_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl845]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp23
    | ( c1_1 @ a460 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl45,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl358,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1551,plain,
    ( ( ( c0_1 @ a460 )
      | ( c3_1 @ a460 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl358]) ).

thf('84',plain,
    ( ( c0_1 @ a460 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c3_1 @ a460 )
    | ~ ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1551]) ).

thf(zip_derived_cl2468_039,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2444]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp4
    | ( c3_1 @ a404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ( c3_1 @ a404 )
   <= ( c3_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('85',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a404 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2468,zip_derived_cl645]) ).

thf(zip_derived_cl311_040,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl789,plain,
    ( ~ ( c0_1 @ a451 )
   <= ~ ( c0_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl754]) ).

thf(zip_derived_cl1330,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ~ ( c2_1 @ a451 ) )
   <= ( ~ ( c0_1 @ a451 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl789]) ).

thf('86',plain,
    ( ( c0_1 @ a451 )
    | ~ ( c3_1 @ a451 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1330]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp22
    | ( c0_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    ( ( c0_1 @ a451 )
   <= ( c0_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl196_041,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1042,plain,
    ( ( ~ ( c2_1 @ a451 )
      | ~ ( c3_1 @ a451 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a451 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl196]) ).

thf('87',plain,
    ( ~ ( c3_1 @ a451 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a451 )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp5
    | ( c2_1 @ a408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ( c2_1 @ a408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp5
    | ( c3_1 @ a408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c3_1 @ a408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a408 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a408 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl311_042,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl639,plain,
    ( ~ ( c0_1 @ a408 )
   <= ~ ( c0_1 @ a408 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1315,plain,
    ( ( ~ ( c3_1 @ a408 )
      | ~ ( c2_1 @ a408 ) )
   <= ( ~ ( c0_1 @ a408 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl639]) ).

thf('91',plain,
    ( ( c0_1 @ a408 )
    | ~ ( c2_1 @ a408 )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c3_1 @ a408 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl276_043,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl621_044,plain,
    ( ~ ( c1_1 @ a410 )
   <= ~ ( c1_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl838,plain,
    ( ( ~ ( c2_1 @ a410 )
      | ( c3_1 @ a410 ) )
   <= ( ~ ( c1_1 @ a410 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl621]) ).

thf('92',plain,
    ( ~ ( c2_1 @ a410 )
    | ( c1_1 @ a410 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl838]) ).

thf(zip_derived_cl299_045,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl503_046,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1079,plain,
    ( ( ~ ( c3_1 @ a451 )
      | ~ ( c2_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl503]) ).

thf('93',plain,
    ( ~ ( c3_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1079]) ).

thf(zip_derived_cl25,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl23,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( hskp3
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl389_047,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl491_048,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl204_049,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1035,plain,
    ( ( ~ ( c0_1 @ a460 )
      | ~ ( c2_1 @ a460 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl204]) ).

thf(zip_derived_cl1056,plain,
    ( ~ ( c0_1 @ a460 )
   <= ~ ( c0_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1035]) ).

thf(zip_derived_cl1768,plain,
    ( ( ( c3_1 @ a460 )
      | ( c2_1 @ a460 ) )
   <= ( ~ ( c0_1 @ a460 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl1056]) ).

thf('96',plain,
    ( ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c0_1 @ a460 )
    | ( c3_1 @ a460 )
    | ( c2_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf(zip_derived_cl409_050,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl607_051,plain,
    ( ~ ( c1_1 @ a416 )
   <= ~ ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1817,plain,
    ( ( ~ ( c2_1 @ a416 )
      | ( c0_1 @ a416 ) )
   <= ( ~ ( c1_1 @ a416 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl607]) ).

thf('97',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ~ ( c2_1 @ a416 )
    | ( c0_1 @ a416 )
    | ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf('98',plain,
    ( hskp9
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl675_052,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl358_053,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1543,plain,
    ( ( ( c0_1 @ a400 )
      | ( c3_1 @ a400 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl358]) ).

thf('99',plain,
    ( ( c0_1 @ a400 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a400 )
    | ( c3_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1543]) ).

thf(zip_derived_cl62,plain,
    ! [X93: $i,X94: $i,X95: $i] :
      ( ( c0_1 @ X93 )
      | ( c1_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0
      | ( c0_1 @ X94 )
      | ( c2_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c2_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
    | ~ ndr1_0
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl389_054,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549,plain,
    ( ~ ( c0_1 @ a434 )
   <= ~ ( c0_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1762,plain,
    ( ( ( c3_1 @ a434 )
      | ( c2_1 @ a434 ) )
   <= ( ~ ( c0_1 @ a434 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl549]) ).

thf('101',plain,
    ( ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c2_1 @ a434 )
    | ( c3_1 @ a434 )
    | ( c0_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1762]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp20
    | ( c3_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c3_1 @ a449 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ ( c2_1 @ a449 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl9,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( hskp20
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl491_055,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl212_056,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1037,plain,
    ( ( ( c3_1 @ a460 )
      | ~ ( c0_1 @ a460 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl212]) ).

thf('105',plain,
    ( ( c3_1 @ a460 )
    | ~ ( c0_1 @ a460 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1037]) ).

thf(zip_derived_cl491_057,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl377_058,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1581,plain,
    ( ( ( c0_1 @ a460 )
      | ( c2_1 @ a460 ) )
   <= ( ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl377]) ).

thf('106',plain,
    ( ( c2_1 @ a460 )
    | ( c0_1 @ a460 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ~ ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1581]) ).

thf(zip_derived_cl976_059,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl954]) ).

thf(zip_derived_cl272,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl204_060,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl790,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl204]) ).

thf(zip_derived_cl817,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl790]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp4
    | ( c0_1 @ a404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ( c0_1 @ a404 )
   <= ( c0_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl1953,plain,
    ( ~ ( c2_1 @ a404 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a404 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl643]) ).

thf(zip_derived_cl2410,plain,
    ( ~ ( c3_1 @ a404 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ( c0_1 @ a404 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl1953]) ).

thf(zip_derived_cl645_061,plain,
    ( ( c3_1 @ a404 )
   <= ( c3_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('107',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ( c3_1 @ a404 )
    | ~ ( c0_1 @ a404 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2410,zip_derived_cl645]) ).

thf(zip_derived_cl20,plain,
    ! [X17: $i,X18: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | ( c2_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('109',plain,
    ( ( c0_1 @ a451 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp22
    | ( c2_1 @ a451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ( c2_1 @ a451 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('111',plain,
    ( ~ ( c1_1 @ a451 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl272_062,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl503_063,plain,
    ( ~ ( c1_1 @ a451 )
   <= ~ ( c1_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl805,plain,
    ( ( ~ ( c2_1 @ a451 )
      | ~ ( c0_1 @ a451 ) )
   <= ( ~ ( c1_1 @ a451 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl503]) ).

thf('112',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c0_1 @ a451 )
    | ( c1_1 @ a451 )
    | ~ ( c2_1 @ a451 ) ),
    inference(split,[status(esa)],[zip_derived_cl805]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp7
    | ( c0_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl619,plain,
    ( ( c0_1 @ a410 )
   <= ( c0_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl255_064,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1181,plain,
    ( ( ( c2_1 @ a410 )
      | ( c3_1 @ a410 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a410 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl255]) ).

thf('113',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a410 )
    | ~ ( c0_1 @ a410 )
    | ( c3_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl1181]) ).

thf(zip_derived_cl272_065,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl621_066,plain,
    ( ~ ( c1_1 @ a410 )
   <= ~ ( c1_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl798,plain,
    ( ( ~ ( c2_1 @ a410 )
      | ~ ( c0_1 @ a410 ) )
   <= ( ~ ( c1_1 @ a410 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl621]) ).

thf('114',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c2_1 @ a410 )
    | ( c1_1 @ a410 )
    | ~ ( c0_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl798]) ).

thf(zip_derived_cl43,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c1_1 @ X59 )
      | ( c2_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( hskp9
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl308_067,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl661,plain,
    ( ~ ( c1_1 @ a402 )
   <= ~ ( c1_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1231,plain,
    ( ( ~ ( c0_1 @ a402 )
      | ( c2_1 @ a402 ) )
   <= ( ~ ( c1_1 @ a402 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl661]) ).

thf('116',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c0_1 @ a402 )
    | ( c1_1 @ a402 )
    | ( c2_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp20
    | ( c1_1 @ a449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl515,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl223_068,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1052,plain,
    ( ( ( c2_1 @ a449 )
      | ~ ( c3_1 @ a449 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl223]) ).

thf('117',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a449 )
    | ( c2_1 @ a449 )
    | ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1052]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a460 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a460 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl15,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp27
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( hskp23
    | hskp27
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('121',plain,
    ( hskp3
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('122',plain,
    ( ~ ( c1_1 @ a420 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl290_069,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl589_070,plain,
    ( ~ ( c1_1 @ a420 )
   <= ~ ( c1_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl962,plain,
    ( ( ~ ( c3_1 @ a420 )
      | ( c2_1 @ a420 ) )
   <= ( ~ ( c1_1 @ a420 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl589]) ).

thf('123',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ( c3_1 @ a420 )
    | ( c2_1 @ a420 )
    | ( c1_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl962]) ).

thf(zip_derived_cl338_071,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl675_072,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl204_073,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1258,plain,
    ( ( ~ ( c0_1 @ a400 )
      | ~ ( c2_1 @ a400 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl204]) ).

thf(zip_derived_cl1434,plain,
    ( ~ ( c0_1 @ a400 )
   <= ~ ( c0_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl1474,plain,
    ( ( ~ ( c2_1 @ a400 )
      | ( c3_1 @ a400 ) )
   <= ( ~ ( c0_1 @ a400 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl1434]) ).

thf('124',plain,
    ( ( c0_1 @ a400 )
    | ( c3_1 @ a400 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1474]) ).

thf(zip_derived_cl44,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( hskp1
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl976_074,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl954]) ).

thf(zip_derived_cl394_075,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl314_076,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1706,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl314]) ).

thf(zip_derived_cl1730,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1706]) ).

thf(zip_derived_cl817_077,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl790]) ).

thf(zip_derived_cl2534,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl817]) ).

thf(zip_derived_cl5005,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl2534]) ).

thf(zip_derived_cl5036,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5005]) ).

thf(zip_derived_cl645_078,plain,
    ( ( c3_1 @ a404 )
   <= ( c3_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('126',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a404 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5036,zip_derived_cl645]) ).

thf(zip_derived_cl17,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp28
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp4
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl51,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | ( c1_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp28
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp10
    | ( c1_1 @ a418 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595,plain,
    ( ( c1_1 @ a418 )
   <= ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl223_079,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1159,plain,
    ( ( ( c2_1 @ a418 )
      | ~ ( c3_1 @ a418 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a418 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl223]) ).

thf('129',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a418 )
    | ( c2_1 @ a418 )
    | ~ ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl1159]) ).

thf(zip_derived_cl595_080,plain,
    ( ( c1_1 @ a418 )
   <= ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl377_081,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c2_1 @ X70 )
        | ~ ( c1_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1575,plain,
    ( ( ( c0_1 @ a418 )
      | ( c2_1 @ a418 ) )
   <= ( ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
      & ( c1_1 @ a418 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl377]) ).

thf('130',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c2_1 @ X70 )
          | ~ ( c1_1 @ X70 ) )
    | ( c0_1 @ a418 )
    | ( c2_1 @ a418 )
    | ~ ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl1575]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp0
    | ( c2_1 @ a400 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c2_1 @ a400 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a400 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a403 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl2,plain,
    ( hskp15
    | hskp7
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp15
    | hskp3
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl817_082,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl790]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp28
    | ( c0_1 @ a414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl451,plain,
    ( ( c0_1 @ a414 )
   <= ( c0_1 @ a414 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl1961,plain,
    ( ~ ( c2_1 @ a414 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a414 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl451]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp28
    | ( c2_1 @ a414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ( c2_1 @ a414 )
   <= ( c2_1 @ a414 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('135',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a414 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c2_1 @ a414 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1961,zip_derived_cl453]) ).

thf('136',plain,
    ( ( c0_1 @ a430 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp15
    | ( c2_1 @ a430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c2_1 @ a430 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl817_083,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl790]) ).

thf(zip_derived_cl555_084,plain,
    ( ( c0_1 @ a430 )
   <= ( c0_1 @ a430 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl1956,plain,
    ( ~ ( c2_1 @ a430 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
      & ( c0_1 @ a430 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl555]) ).

thf(zip_derived_cl557,plain,
    ( ( c2_1 @ a430 )
   <= ( c2_1 @ a430 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('138',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c2_1 @ a430 )
    | ~ ( c0_1 @ a430 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1956,zip_derived_cl557]) ).

thf(zip_derived_cl57,plain,
    ! [X83: $i,X84: $i,X85: $i] :
      ( ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c0_1 @ X84 )
      | ( c3_1 @ X84 )
      | ~ ( c2_1 @ X84 )
      | ~ ndr1_0
      | ( c1_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl35,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp27
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( hskp9
    | hskp27
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a418 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ~ ( c2_1 @ a418 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl595_085,plain,
    ( ( c1_1 @ a418 )
   <= ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl243_086,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1161,plain,
    ( ( ( c2_1 @ a418 )
      | ( c3_1 @ a418 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a418 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl243]) ).

thf('142',plain,
    ( ( c3_1 @ a418 )
    | ( c2_1 @ a418 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf('143',plain,
    ( ( c1_1 @ a418 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a418 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ~ ( c0_1 @ a418 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp12
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( hskp10
    | hskp12
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c0_1 @ a420 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a420 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ~ ( c2_1 @ a420 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('148',plain,
    ( hskp11
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl263_087,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl661_088,plain,
    ( ~ ( c1_1 @ a402 )
   <= ~ ( c1_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl746,plain,
    ( ( ~ ( c3_1 @ a402 )
      | ~ ( c0_1 @ a402 ) )
   <= ( ~ ( c1_1 @ a402 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl661]) ).

thf('149',plain,
    ( ~ ( c3_1 @ a402 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ( c1_1 @ a402 )
    | ~ ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl746]) ).

thf(zip_derived_cl22,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp4
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( hskp3
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c0_1 @ a403 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a403 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ~ ( c2_1 @ a403 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl389_089,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( c0_1 @ a403 )
   <= ~ ( c0_1 @ a403 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl1751,plain,
    ( ( ( c3_1 @ a403 )
      | ( c2_1 @ a403 ) )
   <= ( ~ ( c0_1 @ a403 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl651]) ).

thf('153',plain,
    ( ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c0_1 @ a403 )
    | ( c2_1 @ a403 )
    | ( c3_1 @ a403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1751]) ).

thf('154',plain,
    ( hskp0
    | hskp27
    | ~ ndr1_0
    | ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('155',plain,
    ( ( c1_1 @ a400 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl675_090,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl314_091,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1279,plain,
    ( ( ( c0_1 @ a400 )
      | ~ ( c3_1 @ a400 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl314]) ).

thf('156',plain,
    ( ( c0_1 @ a400 )
    | ~ ( c3_1 @ a400 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl675_092,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl239,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1262,plain,
    ( ( ( c2_1 @ a400 )
      | ~ ( c0_1 @ a400 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl239]) ).

thf('157',plain,
    ( ( c2_1 @ a400 )
    | ~ ( c1_1 @ a400 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf('158',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a400 )
    | ~ ( c1_1 @ a400 )
    | ~ ( c2_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl675_093,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl243_094,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1263,plain,
    ( ( ( c2_1 @ a400 )
      | ( c3_1 @ a400 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl243]) ).

thf('159',plain,
    ( ( c2_1 @ a400 )
    | ( c3_1 @ a400 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1263]) ).

thf(zip_derived_cl675_095,plain,
    ( ( c1_1 @ a400 )
   <= ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl208,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1259,plain,
    ( ( ( c3_1 @ a400 )
      | ~ ( c2_1 @ a400 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a400 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl208]) ).

thf('160',plain,
    ( ( c3_1 @ a400 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a400 )
    | ~ ( c1_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf(zip_derived_cl3217,plain,
    ( ( c3_1 @ a400 )
   <= ( c3_1 @ a400 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf(zip_derived_cl361_096,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl231_097,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1629,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl231]) ).

thf(zip_derived_cl1683,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1629]) ).

thf(zip_derived_cl1359_098,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1310]) ).

thf(zip_derived_cl2473,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl1359]) ).

thf(zip_derived_cl2527,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2473]) ).

thf('161',plain,
    ( ~ ( c3_1 @ a400 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3217,zip_derived_cl2527]) ).

thf(zip_derived_cl338_099,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl651_100,plain,
    ( ~ ( c0_1 @ a403 )
   <= ~ ( c0_1 @ a403 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl1477,plain,
    ( ( ~ ( c2_1 @ a403 )
      | ( c3_1 @ a403 ) )
   <= ( ~ ( c0_1 @ a403 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl651]) ).

thf(zip_derived_cl3272,plain,
    ( ( c3_1 @ a403 )
   <= ( c3_1 @ a403 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl2527_101,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2473]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a403 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3272,zip_derived_cl2527]) ).

thf(zip_derived_cl2468_102,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2444]) ).

thf(zip_derived_cl276_103,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl589_104,plain,
    ( ~ ( c1_1 @ a420 )
   <= ~ ( c1_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl841,plain,
    ( ( ~ ( c2_1 @ a420 )
      | ( c3_1 @ a420 ) )
   <= ( ~ ( c1_1 @ a420 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl589]) ).

thf(zip_derived_cl1442,plain,
    ( ( c3_1 @ a420 )
   <= ( c3_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl841]) ).

thf('163',plain,
    ( ~ ( c3_1 @ a420 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2468,zip_derived_cl1442]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp25
    | ( c3_1 @ a405 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c3_1 @ a405 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl475_105,plain,
    ( ( c0_1 @ a405 )
   <= ( c0_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl196_106,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1012,plain,
    ( ( ~ ( c2_1 @ a405 )
      | ~ ( c3_1 @ a405 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a405 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl196]) ).

thf('165',plain,
    ( ~ ( c2_1 @ a405 )
    | ~ ( c0_1 @ a405 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl1012]) ).

thf(zip_derived_cl12,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp25
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp25
    | hskp28
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('167',plain,
    ( hskp9
    | hskp4
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp18
    | ( c0_1 @ a440 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl531,plain,
    ( ( c0_1 @ a440 )
   <= ( c0_1 @ a440 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl255_107,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1106,plain,
    ( ( ( c2_1 @ a440 )
      | ( c3_1 @ a440 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a440 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl255]) ).

thf('168',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a440 )
    | ( c2_1 @ a440 )
    | ( c3_1 @ a440 ) ),
    inference(split,[status(esa)],[zip_derived_cl1106]) ).

thf(zip_derived_cl311_108,plain,
    ( ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c0_1 @ X40 )
        | ~ ( c2_1 @ X40 )
        | ~ ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( c0_1 @ a416 )
   <= ~ ( c0_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1319,plain,
    ( ( ~ ( c3_1 @ a416 )
      | ~ ( c2_1 @ a416 ) )
   <= ( ~ ( c0_1 @ a416 )
      & ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl605]) ).

thf('169',plain,
    ( ~ ! [X40: $i] :
          ( ( c0_1 @ X40 )
          | ~ ( c2_1 @ X40 )
          | ~ ( c3_1 @ X40 ) )
    | ~ ( c2_1 @ a416 )
    | ~ ( c3_1 @ a416 )
    | ( c0_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1319]) ).

thf(zip_derived_cl290_109,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl607_110,plain,
    ( ~ ( c1_1 @ a416 )
   <= ~ ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl961,plain,
    ( ( ~ ( c3_1 @ a416 )
      | ( c2_1 @ a416 ) )
   <= ( ~ ( c1_1 @ a416 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl607]) ).

thf('170',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ( c2_1 @ a416 )
    | ( c1_1 @ a416 )
    | ~ ( c3_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl961]) ).

thf('171',plain,
    ( ( c0_1 @ a440 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a440 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ~ ( c2_1 @ a440 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a440 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c3_1 @ a440 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl31,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl49,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1,plain,
    ( hskp18
    | hskp20
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( hskp18
    | hskp23
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('177',plain,
    ( ( c1_1 @ a460 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('178',plain,
    ( ( c1_1 @ a449 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl491_111,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl208_112,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1036,plain,
    ( ( ( c3_1 @ a460 )
      | ~ ( c2_1 @ a460 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl208]) ).

thf('179',plain,
    ( ( c3_1 @ a460 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a460 )
    | ~ ( c2_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1036]) ).

thf(zip_derived_cl491_113,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl314_114,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( c0_1 @ a460 )
      | ~ ( c3_1 @ a460 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl314]) ).

thf('180',plain,
    ( ( c0_1 @ a460 )
    | ~ ( c1_1 @ a460 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1287]) ).

thf('181',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a460 )
    | ~ ( c1_1 @ a460 )
    | ~ ( c2_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1035]) ).

thf(zip_derived_cl491_115,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl239_116,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1039,plain,
    ( ( ( c2_1 @ a460 )
      | ~ ( c0_1 @ a460 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl239]) ).

thf('182',plain,
    ( ( c2_1 @ a460 )
    | ~ ( c1_1 @ a460 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl491_117,plain,
    ( ( c1_1 @ a460 )
   <= ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl243_118,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1040,plain,
    ( ( ( c2_1 @ a460 )
      | ( c3_1 @ a460 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a460 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl243]) ).

thf('183',plain,
    ( ( c2_1 @ a460 )
    | ( c3_1 @ a460 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a460 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf(zip_derived_cl515_119,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl208_120,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1050,plain,
    ( ( ( c3_1 @ a449 )
      | ~ ( c2_1 @ a449 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl208]) ).

thf('184',plain,
    ( ( c3_1 @ a449 )
    | ~ ( c2_1 @ a449 )
    | ~ ( c1_1 @ a449 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1050]) ).

thf(zip_derived_cl515_121,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl243_122,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1054,plain,
    ( ( ( c2_1 @ a449 )
      | ( c3_1 @ a449 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl243]) ).

thf('185',plain,
    ( ( c3_1 @ a449 )
    | ( c2_1 @ a449 )
    | ~ ( c1_1 @ a449 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1054]) ).

thf(zip_derived_cl515_123,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl204_124,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1049,plain,
    ( ( ~ ( c0_1 @ a449 )
      | ~ ( c2_1 @ a449 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl204]) ).

thf('186',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a449 )
    | ~ ( c1_1 @ a449 )
    | ~ ( c2_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1049]) ).

thf(zip_derived_cl515_125,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl239_126,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1053,plain,
    ( ( ( c2_1 @ a449 )
      | ~ ( c0_1 @ a449 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl239]) ).

thf('187',plain,
    ( ~ ( c0_1 @ a449 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a449 )
    | ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1053]) ).

thf(zip_derived_cl515_127,plain,
    ( ( c1_1 @ a449 )
   <= ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl314_128,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1286,plain,
    ( ( ( c0_1 @ a449 )
      | ~ ( c3_1 @ a449 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl314]) ).

thf('188',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a449 )
    | ~ ( c3_1 @ a449 )
    | ~ ( c1_1 @ a449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1286]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp16
    | ( c1_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl547,plain,
    ( ( c1_1 @ a434 )
   <= ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl208_129,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1108,plain,
    ( ( ( c3_1 @ a434 )
      | ~ ( c2_1 @ a434 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a434 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl547,zip_derived_cl208]) ).

thf('189',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a434 )
    | ( c3_1 @ a434 )
    | ~ ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1108]) ).

thf(zip_derived_cl389_130,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( c0_1 @ a420 )
   <= ~ ( c0_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl1758,plain,
    ( ( ( c3_1 @ a420 )
      | ( c2_1 @ a420 ) )
   <= ( ~ ( c0_1 @ a420 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl587]) ).

thf('190',plain,
    ( ( c3_1 @ a420 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ( c3_1 @ X76 ) )
    | ( c2_1 @ a420 )
    | ( c0_1 @ a420 ) ),
    inference(split,[status(esa)],[zip_derived_cl1758]) ).

thf(zip_derived_cl595_131,plain,
    ( ( c1_1 @ a418 )
   <= ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl314_132,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1281,plain,
    ( ( ( c0_1 @ a418 )
      | ~ ( c3_1 @ a418 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a418 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl314]) ).

thf('191',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a418 )
    | ( c0_1 @ a418 )
    | ~ ( c1_1 @ a418 ) ),
    inference(split,[status(esa)],[zip_derived_cl1281]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp9
    | ( c3_1 @ a416 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ( c3_1 @ a416 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('193',plain,
    ( ~ ( c0_1 @ a416 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('194',plain,
    ( ~ ( c1_1 @ a416 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl14,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp12
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( hskp9
    | hskp12
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl659_133,plain,
    ( ( c0_1 @ a402 )
   <= ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl231_134,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1200,plain,
    ( ( ( c2_1 @ a402 )
      | ~ ( c3_1 @ a402 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a402 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl231]) ).

thf('196',plain,
    ( ~ ( c3_1 @ a402 )
    | ( c2_1 @ a402 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl1200]) ).

thf(zip_derived_cl282_135,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl661_136,plain,
    ( ~ ( c1_1 @ a402 )
   <= ~ ( c1_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl899,plain,
    ( ( ~ ( c0_1 @ a402 )
      | ( c3_1 @ a402 ) )
   <= ( ~ ( c1_1 @ a402 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl661]) ).

thf('197',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c3_1 @ a402 )
    | ( c1_1 @ a402 )
    | ~ ( c0_1 @ a402 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf('198',plain,
    ( ( c0_1 @ a402 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a402 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a402 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ~ ( c2_1 @ a402 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl55,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c1_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c2_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('202',plain,
    ( ( c0_1 @ a410 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('203',plain,
    ( ~ ( c1_1 @ a410 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a410 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ~ ( c3_1 @ a410 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl282_137,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl621_138,plain,
    ( ~ ( c1_1 @ a410 )
   <= ~ ( c1_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl900,plain,
    ( ( ~ ( c0_1 @ a410 )
      | ( c3_1 @ a410 ) )
   <= ( ~ ( c1_1 @ a410 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl621]) ).

thf('205',plain,
    ( ( c1_1 @ a410 )
    | ( c3_1 @ a410 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ~ ( c0_1 @ a410 ) ),
    inference(split,[status(esa)],[zip_derived_cl900]) ).

thf('206',plain,
    ( hskp1
    | hskp12
    | ~ ndr1_0
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('207',plain,
    ( ( c0_1 @ a401 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl669_139,plain,
    ( ( c1_1 @ a401 )
   <= ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl204_140,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1207,plain,
    ( ( ~ ( c0_1 @ a401 )
      | ~ ( c2_1 @ a401 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a401 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl204]) ).

thf('208',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a401 )
    | ~ ( c0_1 @ a401 )
    | ~ ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl1207]) ).

thf('209',plain,
    ( ( c1_1 @ a401 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl669_141,plain,
    ( ( c1_1 @ a401 )
   <= ( c1_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl239_142,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1211,plain,
    ( ( ( c2_1 @ a401 )
      | ~ ( c0_1 @ a401 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a401 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl239]) ).

thf('210',plain,
    ( ( c2_1 @ a401 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a401 )
    | ~ ( c0_1 @ a401 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl477_143,plain,
    ( ( c1_1 @ a405 )
   <= ( c1_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl239_144,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1019,plain,
    ( ( ( c2_1 @ a405 )
      | ~ ( c0_1 @ a405 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a405 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl239]) ).

thf('211',plain,
    ( ( c2_1 @ a405 )
    | ~ ( c0_1 @ a405 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl1019]) ).

thf('212',plain,
    ( ( c0_1 @ a405 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('213',plain,
    ( ( c1_1 @ a405 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl477_145,plain,
    ( ( c1_1 @ a405 )
   <= ( c1_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl204_146,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1015,plain,
    ( ( ~ ( c0_1 @ a405 )
      | ~ ( c2_1 @ a405 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a405 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl204]) ).

thf('214',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a405 )
    | ~ ( c0_1 @ a405 )
    | ~ ( c1_1 @ a405 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp12
    | ( c0_1 @ a426 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ( c0_1 @ a426 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('216',plain,
    ( ( c1_1 @ a426 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a426 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ~ ( c2_1 @ a426 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl581_147,plain,
    ( ( c1_1 @ a426 )
   <= ( c1_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl239_148,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1153,plain,
    ( ( ( c2_1 @ a426 )
      | ~ ( c0_1 @ a426 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a426 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl239]) ).

thf('218',plain,
    ( ~ ( c1_1 @ a426 )
    | ( c2_1 @ a426 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a426 ) ),
    inference(split,[status(esa)],[zip_derived_cl1153]) ).

thf('219',plain,
    ( ( c0_1 @ a412 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('220',plain,
    ( ( c1_1 @ a412 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp27
    | ( c2_1 @ a412 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ( c2_1 @ a412 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl461_149,plain,
    ( ( c1_1 @ a412 )
   <= ( c1_1 @ a412 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl204_150,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl982,plain,
    ( ( ~ ( c0_1 @ a412 )
      | ~ ( c2_1 @ a412 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a412 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl204]) ).

thf('222',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a412 )
    | ~ ( c0_1 @ a412 )
    | ~ ( c2_1 @ a412 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf('223',plain,
    ( ( c3_1 @ a477 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ~ ( c0_1 @ a477 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ ( c2_1 @ a477 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl361_151,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl485,plain,
    ( ~ ( c0_1 @ a477 )
   <= ~ ( c0_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1653,plain,
    ( ( ~ ( c3_1 @ a477 )
      | ( c2_1 @ a477 ) )
   <= ( ~ ( c0_1 @ a477 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl485]) ).

thf('226',plain,
    ( ( c0_1 @ a477 )
    | ( c2_1 @ a477 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ~ ( c3_1 @ a477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1653]) ).

thf(zip_derived_cl523_152,plain,
    ( ( c1_1 @ a445 )
   <= ( c1_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl325_153,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1383,plain,
    ( ( ( c0_1 @ a445 )
      | ~ ( c2_1 @ a445 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c1_1 @ a445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl325]) ).

thf('227',plain,
    ( ~ ( c2_1 @ a445 )
    | ~ ( c1_1 @ a445 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ( c0_1 @ a445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1383]) ).

thf('228',plain,
    ( ( c0_1 @ a414 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('229',plain,
    ( ( c2_1 @ a414 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp28
    | ( c3_1 @ a414 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ( c3_1 @ a414 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl451_154,plain,
    ( ( c0_1 @ a414 )
   <= ( c0_1 @ a414 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl196_155,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl935,plain,
    ( ( ~ ( c2_1 @ a414 )
      | ~ ( c3_1 @ a414 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a414 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl196]) ).

thf('231',plain,
    ( ~ ( c2_1 @ a414 )
    | ~ ( c3_1 @ a414 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a414 ) ),
    inference(split,[status(esa)],[zip_derived_cl935]) ).

thf(zip_derived_cl394_156,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c1_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl607_157,plain,
    ( ~ ( c1_1 @ a416 )
   <= ~ ( c1_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1713,plain,
    ( ( ~ ( c3_1 @ a416 )
      | ( c0_1 @ a416 ) )
   <= ( ~ ( c1_1 @ a416 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl607]) ).

thf('232',plain,
    ( ~ ( c3_1 @ a416 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c1_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ( c1_1 @ a416 )
    | ( c0_1 @ a416 ) ),
    inference(split,[status(esa)],[zip_derived_cl1713]) ).

thf('233',plain,
    ( ( c0_1 @ a404 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('234',plain,
    ( ( c3_1 @ a404 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a404 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('235',plain,
    ( ~ ( c2_1 @ a404 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl643_158,plain,
    ( ( c0_1 @ a404 )
   <= ( c0_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl231_159,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1197,plain,
    ( ( ( c2_1 @ a404 )
      | ~ ( c3_1 @ a404 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a404 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl231]) ).

thf('236',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a404 )
    | ( c2_1 @ a404 )
    | ~ ( c3_1 @ a404 ) ),
    inference(split,[status(esa)],[zip_derived_cl1197]) ).

thf('237',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp2
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf('238',plain,
    ( hskp16
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('239',plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('241',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl0,plain,
    ( hskp8
    | hskp3
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( hskp17
    | hskp3
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl547_160,plain,
    ( ( c1_1 @ a434 )
   <= ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl243_161,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1112,plain,
    ( ( ( c2_1 @ a434 )
      | ( c3_1 @ a434 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a434 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl547,zip_derived_cl243]) ).

thf('243',plain,
    ( ( c2_1 @ a434 )
    | ( c3_1 @ a434 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1112]) ).

thf('244',plain,
    ( ( c1_1 @ a434 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('245',plain,
    ( ~ ( c0_1 @ a434 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('246',plain,
    ( ~ ( c3_1 @ a434 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl338_162,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl549_163,plain,
    ( ~ ( c0_1 @ a434 )
   <= ~ ( c0_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1488,plain,
    ( ( ~ ( c2_1 @ a434 )
      | ( c3_1 @ a434 ) )
   <= ( ~ ( c0_1 @ a434 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl549]) ).

thf('247',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c2_1 @ X52 ) )
    | ~ ( c2_1 @ a434 )
    | ( c0_1 @ a434 )
    | ( c3_1 @ a434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf('248',plain,
    ( hskp14
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c2_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('249',plain,
    ( ~ ( c1_1 @ a428 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl299_164,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ~ ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl567_165,plain,
    ( ~ ( c1_1 @ a428 )
   <= ~ ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c3_1 @ a428 )
      | ~ ( c2_1 @ a428 ) )
   <= ( ~ ( c1_1 @ a428 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl567]) ).

thf('250',plain,
    ( ~ ( c3_1 @ a428 )
    | ( c1_1 @ a428 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ~ ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c2_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf(zip_derived_cl276_166,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl567_167,plain,
    ( ~ ( c1_1 @ a428 )
   <= ~ ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl842,plain,
    ( ( ~ ( c2_1 @ a428 )
      | ( c3_1 @ a428 ) )
   <= ( ~ ( c1_1 @ a428 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl567]) ).

thf('251',plain,
    ( ( c3_1 @ a428 )
    | ~ ( c2_1 @ a428 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c1_1 @ a428 ) ),
    inference(split,[status(esa)],[zip_derived_cl842]) ).

thf(zip_derived_cl6246,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN469+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cVMq7MtJ6P true
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 18:52:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.00/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.12/1.45  % Solved by fo/fo1_av.sh.
% 5.12/1.45  % done 1771 iterations in 0.630s
% 5.12/1.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.12/1.45  % SZS output start Refutation
% See solution above
% 5.12/1.46  
% 5.12/1.46  
% 5.12/1.46  % Terminating...
% 5.12/1.46  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.09/1.59  % Runner terminated.
% 6.09/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------