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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN478+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jev8POwmZU 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 : Thu Oct  2 05:05:02 PM UTC 2025

% Result   : Theorem 10.59s 2.07s
% Output   : Refutation 10.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  724 (   1 unt;   0 typ;   0 def)
%            Number of atoms       : 4632 (   0 equ;   0 cnn)
%            Maximal formula atoms :  688 (   6 avg)
%            Number of connectives : 9823 (2357   ~;2872   |; 511   &;3558   @)
%                                         (   0 <=>; 206  =>; 319  <=;   0 <~>)
%            Maximal formula depth :  110 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  796 (   0   ^; 796   !;   0   ?; 796   :)

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

thf(a1311_type,type,
    a1311: $i ).

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

thf(a1372_type,type,
    a1372: $i ).

thf(a1324_type,type,
    a1324: $i ).

thf(a1359_type,type,
    a1359: $i ).

thf(a1328_type,type,
    a1328: $i ).

thf(a1333_type,type,
    a1333: $i ).

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

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

thf(a1306_type,type,
    a1306: $i ).

thf(a1315_type,type,
    a1315: $i ).

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

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

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

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

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

thf(a1312_type,type,
    a1312: $i ).

thf(a1344_type,type,
    a1344: $i ).

thf(a1356_type,type,
    a1356: $i ).

thf(a1338_type,type,
    a1338: $i ).

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

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

thf(a1308_type,type,
    a1308: $i ).

thf(a1321_type,type,
    a1321: $i ).

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

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

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

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

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

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

thf(a1320_type,type,
    a1320: $i ).

thf(a1325_type,type,
    a1325: $i ).

thf(a1339_type,type,
    a1339: $i ).

thf(a1352_type,type,
    a1352: $i ).

thf(a1411_type,type,
    a1411: $i ).

thf(a1334_type,type,
    a1334: $i ).

thf(a1331_type,type,
    a1331: $i ).

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

thf(a1348_type,type,
    a1348: $i ).

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

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

thf(a1316_type,type,
    a1316: $i ).

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

thf(a1394_type,type,
    a1394: $i ).

thf(a1319_type,type,
    a1319: $i ).

thf(a1326_type,type,
    a1326: $i ).

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

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

thf(a1330_type,type,
    a1330: $i ).

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

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

thf(a1314_type,type,
    a1314: $i ).

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

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

thf(a1370_type,type,
    a1370: $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(a1309_type,type,
    a1309: $i ).

thf(a1307_type,type,
    a1307: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c0_1 @ a1306 )
          & ~ ( c1_1 @ a1306 )
          & ~ ( c2_1 @ a1306 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c3_1 @ a1308 )
          & ~ ( c1_1 @ a1308 )
          & ~ ( c2_1 @ a1308 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a1309 )
          & ( c3_1 @ a1309 )
          & ~ ( c2_1 @ a1309 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a1311 )
          & ( c2_1 @ a1311 )
          & ~ ( c1_1 @ a1311 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a1312 )
          & ~ ( c1_1 @ a1312 )
          & ~ ( c3_1 @ a1312 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a1314 )
          & ~ ( c0_1 @ a1314 )
          & ~ ( c3_1 @ a1314 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c3_1 @ a1315 )
          & ~ ( c0_1 @ a1315 )
          & ~ ( c1_1 @ a1315 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ ( c0_1 @ a1316 )
          & ~ ( c2_1 @ a1316 )
          & ~ ( c3_1 @ a1316 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a1319 )
          & ~ ( c0_1 @ a1319 )
          & ~ ( c3_1 @ a1319 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a1320 )
          & ~ ( c0_1 @ a1320 )
          & ~ ( c1_1 @ a1320 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a1321 )
          & ( c3_1 @ a1321 )
          & ~ ( c2_1 @ a1321 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a1324 )
          & ( c3_1 @ a1324 )
          & ~ ( c1_1 @ a1324 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a1325 )
          & ( c3_1 @ a1325 )
          & ~ ( c0_1 @ a1325 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ ( c1_1 @ a1326 )
          & ~ ( c2_1 @ a1326 )
          & ~ ( c3_1 @ a1326 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a1330 )
          & ~ ( c1_1 @ a1330 )
          & ~ ( c2_1 @ a1330 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a1331 )
          & ( c2_1 @ a1331 )
          & ~ ( c3_1 @ a1331 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a1333 )
          & ~ ( c2_1 @ a1333 )
          & ~ ( c3_1 @ a1333 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a1334 )
          & ( c3_1 @ a1334 )
          & ~ ( c0_1 @ a1334 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a1339 )
          & ~ ( c0_1 @ a1339 )
          & ~ ( c2_1 @ a1339 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a1344 )
          & ( c1_1 @ a1344 )
          & ~ ( c2_1 @ a1344 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a1348 )
          & ( c2_1 @ a1348 )
          & ~ ( c0_1 @ a1348 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a1352 )
          & ~ ( c0_1 @ a1352 )
          & ~ ( c2_1 @ a1352 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a1356 )
          & ( c1_1 @ a1356 )
          & ~ ( c3_1 @ a1356 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a1359 )
          & ~ ( c1_1 @ a1359 )
          & ~ ( c3_1 @ a1359 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c2_1 @ a1370 )
          & ~ ( c1_1 @ a1370 )
          & ~ ( c3_1 @ a1370 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a1394 )
          & ( c2_1 @ a1394 )
          & ~ ( c3_1 @ a1394 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a1411 )
          & ~ ( c2_1 @ a1411 )
          & ~ ( c3_1 @ a1411 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1307 )
          & ( c1_1 @ a1307 )
          & ( c2_1 @ a1307 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1328 )
          & ( c2_1 @ a1328 )
          & ( c3_1 @ a1328 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a1338 )
          & ( c2_1 @ a1338 )
          & ( c3_1 @ a1338 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a1372 )
          & ( c1_1 @ a1372 )
          & ( c3_1 @ a1372 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X )
              | ~ ( c1_1 @ X )
              | ~ ( c3_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c3_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c1_1 @ Y ) ) ) )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp27
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | hskp3 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | hskp4
        | hskp2 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp7 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c2_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c3_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | hskp6 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp6 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp8 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c0_1 @ X18 ) ) )
        | hskp9 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | hskp10
        | hskp6 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp9 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp11 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp12 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c0_1 @ X33 ) ) )
        | hskp13 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) )
        | hskp12 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | hskp28 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c1_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp4 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ~ ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) ) )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) ) )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | hskp14
        | hskp15 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp28 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp16
        | hskp17 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c2_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 ) ) )
        | hskp0 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | hskp15 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp14 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) )
        | hskp29
        | hskp18 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c2_1 @ X59 )
              | ~ ( c0_1 @ X59 ) ) )
        | hskp8
        | hskp7 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) ) )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) ) )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp2
        | hskp1 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | hskp19
        | hskp15 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | hskp10
        | hskp1 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | hskp20
        | hskp2 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | hskp12
        | hskp0 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ~ ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) )
        | hskp21
        | hskp0 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c1_1 @ X73 ) ) )
        | hskp20 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp27 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ~ ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp22
        | hskp2 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp22
        | hskp23 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 ) ) )
        | hskp27 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | hskp4
        | hskp17 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp14
        | hskp16 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 ) ) )
        | hskp14
        | hskp13 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | hskp14
        | hskp8 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c1_1 @ X84 ) ) )
        | hskp20
        | hskp24 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp11 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | hskp30
        | hskp18 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | hskp14
        | hskp12 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp9
        | hskp6 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp5 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X93 )
              | ~ ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp17 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 ) ) )
        | hskp13 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp29 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp22
        | hskp11 )
      & ( hskp27
        | hskp14
        | hskp18 )
      & ( hskp30
        | hskp2
        | hskp9 )
      & ( hskp19
        | hskp14
        | hskp9 )
      & ( hskp28
        | hskp25
        | hskp14 )
      & ( hskp28
        | hskp1
        | hskp7 )
      & ( hskp3
        | hskp4
        | hskp7 )
      & ( hskp3
        | hskp21
        | hskp7 )
      & ( hskp25
        | hskp20
        | hskp6 )
      & ( hskp14
        | hskp4
        | hskp1 )
      & ( hskp26
        | hskp29
        | hskp20 )
      & ( hskp26
        | hskp12 )
      & ( hskp20
        | hskp18 )
      & ( hskp2
        | hskp1
        | hskp23 )
      & ( hskp18
        | hskp5
        | hskp16 )
      & ( hskp6
        | hskp0
        | hskp23 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a1306 )
        & ~ ( c1_1 @ a1306 )
        & ~ ( c2_1 @ a1306 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c3_1 @ a1308 )
        & ~ ( c1_1 @ a1308 )
        & ~ ( c2_1 @ a1308 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a1309 )
        & ( c3_1 @ a1309 )
        & ~ ( c2_1 @ a1309 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a1311 )
        & ( c2_1 @ a1311 )
        & ~ ( c1_1 @ a1311 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a1312 )
        & ~ ( c1_1 @ a1312 )
        & ~ ( c3_1 @ a1312 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a1314 )
        & ~ ( c0_1 @ a1314 )
        & ~ ( c3_1 @ a1314 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c3_1 @ a1315 )
        & ~ ( c0_1 @ a1315 )
        & ~ ( c1_1 @ a1315 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ ( c0_1 @ a1316 )
        & ~ ( c2_1 @ a1316 )
        & ~ ( c3_1 @ a1316 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a1319 )
        & ~ ( c0_1 @ a1319 )
        & ~ ( c3_1 @ a1319 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a1320 )
        & ~ ( c0_1 @ a1320 )
        & ~ ( c1_1 @ a1320 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a1321 )
        & ( c3_1 @ a1321 )
        & ~ ( c2_1 @ a1321 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a1324 )
        & ( c3_1 @ a1324 )
        & ~ ( c1_1 @ a1324 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a1325 )
        & ( c3_1 @ a1325 )
        & ~ ( c0_1 @ a1325 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ ( c1_1 @ a1326 )
        & ~ ( c2_1 @ a1326 )
        & ~ ( c3_1 @ a1326 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a1330 )
        & ~ ( c1_1 @ a1330 )
        & ~ ( c2_1 @ a1330 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a1331 )
        & ( c2_1 @ a1331 )
        & ~ ( c3_1 @ a1331 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a1333 )
        & ~ ( c2_1 @ a1333 )
        & ~ ( c3_1 @ a1333 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a1334 )
        & ( c3_1 @ a1334 )
        & ~ ( c0_1 @ a1334 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a1339 )
        & ~ ( c0_1 @ a1339 )
        & ~ ( c2_1 @ a1339 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a1344 )
        & ( c1_1 @ a1344 )
        & ~ ( c2_1 @ a1344 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a1348 )
        & ( c2_1 @ a1348 )
        & ~ ( c0_1 @ a1348 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a1352 )
        & ~ ( c0_1 @ a1352 )
        & ~ ( c2_1 @ a1352 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a1356 )
        & ( c1_1 @ a1356 )
        & ~ ( c3_1 @ a1356 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a1359 )
        & ~ ( c1_1 @ a1359 )
        & ~ ( c3_1 @ a1359 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c2_1 @ a1370 )
        & ~ ( c1_1 @ a1370 )
        & ~ ( c3_1 @ a1370 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a1394 )
        & ( c2_1 @ a1394 )
        & ~ ( c3_1 @ a1394 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a1411 )
        & ~ ( c2_1 @ a1411 )
        & ~ ( c3_1 @ a1411 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1307 )
        & ( c1_1 @ a1307 )
        & ( c2_1 @ a1307 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1328 )
        & ( c2_1 @ a1328 )
        & ( c3_1 @ a1328 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a1338 )
        & ( c2_1 @ a1338 )
        & ( c3_1 @ a1338 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a1372 )
        & ( c1_1 @ a1372 )
        & ( c3_1 @ a1372 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X )
            | ~ ( c1_1 @ X )
            | ~ ( c3_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c3_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c1_1 @ Y ) ) ) )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp27
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | hskp3 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | hskp4
      | hskp2 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp7 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c2_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c3_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | hskp6 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp6 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp8 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c0_1 @ X18 ) ) )
      | hskp9 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | hskp10
      | hskp6 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp9 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp11 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp12 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c0_1 @ X33 ) ) )
      | hskp13 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) )
      | hskp12 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | hskp28 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c1_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp4 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ~ ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) ) )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) ) )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | hskp14
      | hskp15 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp28 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp16
      | hskp17 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c2_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 ) ) )
      | hskp0 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | hskp15 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp14 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) )
      | hskp29
      | hskp18 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c2_1 @ X59 )
            | ~ ( c0_1 @ X59 ) ) )
      | hskp8
      | hskp7 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) ) )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) ) )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp2
      | hskp1 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | hskp19
      | hskp15 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | hskp10
      | hskp1 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | hskp20
      | hskp2 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | hskp12
      | hskp0 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ~ ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) )
      | hskp21
      | hskp0 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c1_1 @ X73 ) ) )
      | hskp20 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp27 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ~ ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp22
      | hskp2 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp22
      | hskp23 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 ) ) )
      | hskp27 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | hskp4
      | hskp17 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp14
      | hskp16 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 ) ) )
      | hskp14
      | hskp13 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | hskp14
      | hskp8 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c1_1 @ X84 ) ) )
      | hskp20
      | hskp24 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp11 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | hskp30
      | hskp18 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | hskp14
      | hskp12 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp9
      | hskp6 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp5 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X93 )
            | ~ ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp17 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 ) ) )
      | hskp13 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp29 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp22
      | hskp11 )
    & ( hskp27
      | hskp14
      | hskp18 )
    & ( hskp30
      | hskp2
      | hskp9 )
    & ( hskp19
      | hskp14
      | hskp9 )
    & ( hskp28
      | hskp25
      | hskp14 )
    & ( hskp28
      | hskp1
      | hskp7 )
    & ( hskp3
      | hskp4
      | hskp7 )
    & ( hskp3
      | hskp21
      | hskp7 )
    & ( hskp25
      | hskp20
      | hskp6 )
    & ( hskp14
      | hskp4
      | hskp1 )
    & ( hskp26
      | hskp29
      | hskp20 )
    & ( hskp26
      | hskp12 )
    & ( hskp20
      | hskp18 )
    & ( hskp2
      | hskp1
      | hskp23 )
    & ( hskp18
      | hskp5
      | hskp16 )
    & ( hskp6
      | hskp0
      | hskp23 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c1_1 @ a1348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c1_1 @ a1348 )
   <= ( c1_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl19,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl259,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1071,plain,
    ( ( ( c3_1 @ a1348 )
      | ~ ( c2_1 @ a1348 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a1348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl259]) ).

thf(zip_derived_cl3328,plain,
    ( ( c3_1 @ a1348 )
   <= ( c3_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1071]) ).

thf(zip_derived_cl46,plain,
    ! [X44: $i,X45: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl3341,plain,
    ( ( ( c0_1 @ a1348 )
      | ~ ( c2_1 @ a1348 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a1348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3328,zip_derived_cl367]) ).

thf('0',plain,
    ( ~ ( c3_1 @ a1348 )
    | ~ ( c2_1 @ a1348 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ( c0_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl3341]) ).

thf(zip_derived_cl33,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl315,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a1330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1096,plain,
    ( ( ~ ( c3_1 @ a1330 )
      | ~ ( c0_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl617]) ).

thf('1',plain,
    ( ~ ( c3_1 @ a1330 )
    | ( c1_1 @ a1330 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c0_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1096]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c1_1 @ a1325 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( c1_1 @ a1325 )
   <= ( c1_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl58,plain,
    ! [X69: $i,X70: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl414,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1725,plain,
    ( ( ( c0_1 @ a1325 )
      | ( c2_1 @ a1325 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
      & ( c1_1 @ a1325 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl414]) ).

thf('2',plain,
    ( ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
    | ( c2_1 @ a1325 )
    | ( c0_1 @ a1325 )
    | ~ ( c1_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl1725]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c1_1 @ a1307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ( ( c1_1 @ a1307 )
   <= ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl16,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1040,plain,
    ( ( ~ ( c0_1 @ a1307 )
      | ~ ( c3_1 @ a1307 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl248]) ).

thf('3',plain,
    ( ~ ( c3_1 @ a1307 )
    | ~ ( c1_1 @ a1307 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf(zip_derived_cl513_001,plain,
    ( ( c1_1 @ a1307 )
   <= ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl259_002,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1042,plain,
    ( ( ( c3_1 @ a1307 )
      | ~ ( c2_1 @ a1307 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a1307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl259]) ).

thf('4',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ( c3_1 @ a1307 )
    | ~ ( c2_1 @ a1307 )
    | ~ ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf(zip_derived_cl63,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c2_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp9
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl37,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a1320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    ( ~ ( c1_1 @ a1320 )
   <= ~ ( c1_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1255,plain,
    ( ( ~ ( c2_1 @ a1320 )
      | ( c3_1 @ a1320 ) )
   <= ( ~ ( c1_1 @ a1320 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl659]) ).

thf(zip_derived_cl4716,plain,
    ( ( c3_1 @ a1320 )
   <= ( c3_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl1255]) ).

thf(zip_derived_cl367_003,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl4741,plain,
    ( ( ( c0_1 @ a1320 )
      | ~ ( c2_1 @ a1320 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a1320 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4716,zip_derived_cl367]) ).

thf('6',plain,
    ( ~ ( c3_1 @ a1320 )
    | ( c0_1 @ a1320 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c2_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl4741]) ).

thf(zip_derived_cl54,plain,
    ! [X59: $i,X60: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl50,plain,
    ! [X50: $i,X51: $i,X52: $i] :
      ( ( c0_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ~ ndr1_0
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl34,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp21
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a1311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( c1_1 @ a1311 )
   <= ~ ( c1_1 @ a1311 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1152,plain,
    ( ( ~ ( c2_1 @ a1311 )
      | ~ ( c0_1 @ a1311 ) )
   <= ( ~ ( c1_1 @ a1311 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl707]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a1311 )
    | ( c1_1 @ a1311 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a1311 ) ),
    inference(split,[status(esa)],[zip_derived_cl1152]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c0_1 @ a1311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ( c0_1 @ a1311 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ( c2_1 @ a1311 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ( c2_1 @ a1311 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('12',plain,
    ( ~ ( c1_1 @ a1311 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl8,plain,
    ( hskp3
    | hskp21
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( hskp3
    | hskp7
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl66,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( hskp6
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a1315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a1315 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c3_1 @ a1315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ( c3_1 @ a1315 )
   <= ( c3_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl56,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl406,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_cl56]) ).

thf(zip_derived_cl1682,plain,
    ( ( ( c0_1 @ a1315 )
      | ( c2_1 @ a1315 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a1315 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl406]) ).

thf('16',plain,
    ( ( c2_1 @ a1315 )
    | ~ ( c3_1 @ a1315 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ( c0_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1682]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c1_1 @ a1338 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl495,plain,
    ( ( c1_1 @ a1338 )
   <= ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl17,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl251,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl994,plain,
    ( ( ~ ( c0_1 @ a1338 )
      | ~ ( c2_1 @ a1338 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1338 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl251]) ).

thf('17',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1338 )
    | ~ ( c2_1 @ a1338 )
    | ~ ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl994]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a1338 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    ( ( c3_1 @ a1338 )
   <= ( c3_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl367_004,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1442,plain,
    ( ( ( c0_1 @ a1338 )
      | ~ ( c2_1 @ a1338 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a1338 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl367]) ).

thf('18',plain,
    ( ( c0_1 @ a1338 )
    | ~ ( c3_1 @ a1338 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ~ ( c2_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl1442]) ).

thf(zip_derived_cl42,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( hskp7
    | hskp8
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a1316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a1316 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a1316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a1316 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1316 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c3_1 @ a1316 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl67,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c2_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( hskp7
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
    | ! [X88: $i] :
        ( ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl450,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a1306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl729,plain,
    ( ~ ( c1_1 @ a1306 )
   <= ~ ( c1_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl1889,plain,
    ( ( ~ ( c3_1 @ a1306 )
      | ( c0_1 @ a1306 ) )
   <= ( ~ ( c1_1 @ a1306 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl729]) ).

thf('24',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ~ ( c3_1 @ a1306 )
    | ( c1_1 @ a1306 )
    | ( c0_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1889]) ).

thf('25',plain,
    ( hskp0
    | ! [X45: $i] :
        ( ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 ) )
    | ~ ndr1_0
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ( c1_1 @ a1344 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ( c1_1 @ a1344 )
   <= ( c1_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl366,plain,
    ( ! [X45: $i] :
        ( ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c2_1 @ X45 )
        | ~ ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1415,plain,
    ( ( ( c2_1 @ a1344 )
      | ~ ( c0_1 @ a1344 ) )
   <= ( ! [X45: $i] :
          ( ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 ) )
      & ( c1_1 @ a1344 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl366]) ).

thf('26',plain,
    ( ~ ! [X45: $i] :
          ( ( c2_1 @ X45 )
          | ~ ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 ) )
    | ~ ( c0_1 @ a1344 )
    | ( c2_1 @ a1344 )
    | ~ ( c1_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl1415]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c1_1 @ a1309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ( c1_1 @ a1309 )
   <= ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl449,plain,
    ( ! [X88: $i] :
        ( ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl1554,plain,
    ( ( ( c2_1 @ a1309 )
      | ~ ( c3_1 @ a1309 ) )
   <= ( ! [X88: $i] :
          ( ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
      & ( c1_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl449]) ).

thf('27',plain,
    ( ~ ! [X88: $i] :
          ( ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c2_1 @ a1309 )
    | ~ ( c3_1 @ a1309 )
    | ~ ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1554]) ).

thf(zip_derived_cl350,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    ( ~ ( c1_1 @ a1308 )
   <= ~ ( c1_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1638,plain,
    ( ( ~ ( c0_1 @ a1308 )
      | ( c2_1 @ a1308 ) )
   <= ( ~ ( c1_1 @ a1308 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl721]) ).

thf('28',plain,
    ( ( c1_1 @ a1308 )
    | ( c2_1 @ a1308 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ~ ( c0_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1638]) ).

thf(zip_derived_cl350_005,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a1324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( c1_1 @ a1324 )
   <= ~ ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1643,plain,
    ( ( ~ ( c0_1 @ a1324 )
      | ( c2_1 @ a1324 ) )
   <= ( ~ ( c1_1 @ a1324 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl643]) ).

thf('29',plain,
    ( ( c2_1 @ a1324 )
    | ( c1_1 @ a1324 )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ~ ( c0_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1643]) ).

thf(zip_derived_cl62,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp10
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c3_1 @ a1316 )
   <= ~ ( c3_1 @ a1316 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1990,plain,
    ( ( ( c2_1 @ a1316 )
      | ( c0_1 @ a1316 ) )
   <= ( ~ ( c3_1 @ a1316 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl675]) ).

thf('30',plain,
    ( ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c0_1 @ a1316 )
    | ( c2_1 @ a1316 )
    | ( c3_1 @ a1316 ) ),
    inference(split,[status(esa)],[zip_derived_cl1990]) ).

thf('31',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl711_006,plain,
    ( ( c1_1 @ a1309 )
   <= ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl248_007,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1292,plain,
    ( ( ~ ( c0_1 @ a1309 )
      | ~ ( c3_1 @ a1309 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl248]) ).

thf('32',plain,
    ( ~ ( c0_1 @ a1309 )
    | ~ ( c1_1 @ a1309 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1292]) ).

thf(zip_derived_cl567_008,plain,
    ( ( c1_1 @ a1348 )
   <= ( c1_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl52,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1507,plain,
    ( ( ( c0_1 @ a1348 )
      | ~ ( c3_1 @ a1348 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a1348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl390]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a1348 )
    | ~ ( c1_1 @ a1348 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ( c0_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1507]) ).

thf('34',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl30,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp22
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a1315 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl683,plain,
    ( ~ ( c1_1 @ a1315 )
   <= ~ ( c1_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl938,plain,
    ( ( ~ ( c3_1 @ a1315 )
      | ~ ( c2_1 @ a1315 ) )
   <= ( ~ ( c1_1 @ a1315 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl683]) ).

thf('35',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a1315 )
    | ( c1_1 @ a1315 )
    | ~ ( c2_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl938]) ).

thf('36',plain,
    ( ( c3_1 @ a1315 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('37',plain,
    ( ~ ( c1_1 @ a1315 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl39,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl683_009,plain,
    ( ~ ( c1_1 @ a1315 )
   <= ~ ( c1_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1374,plain,
    ( ( ~ ( c3_1 @ a1315 )
      | ( c2_1 @ a1315 ) )
   <= ( ~ ( c1_1 @ a1315 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl683]) ).

thf('38',plain,
    ( ( c2_1 @ a1315 )
    | ( c1_1 @ a1315 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ( c3_1 @ a1315 ) ),
    inference(split,[status(esa)],[zip_derived_cl1374]) ).

thf(zip_derived_cl318_010,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a1312 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ~ ( c1_1 @ a1312 )
   <= ~ ( c1_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1153,plain,
    ( ( ~ ( c2_1 @ a1312 )
      | ~ ( c0_1 @ a1312 ) )
   <= ( ~ ( c1_1 @ a1312 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl697]) ).

thf('39',plain,
    ( ~ ( c2_1 @ a1312 )
    | ( c1_1 @ a1312 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c0_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl1153]) ).

thf(zip_derived_cl20,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | hskp9
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( hskp6
    | hskp9
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl302_011,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl659_012,plain,
    ( ~ ( c1_1 @ a1320 )
   <= ~ ( c1_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl939,plain,
    ( ( ~ ( c3_1 @ a1320 )
      | ~ ( c2_1 @ a1320 ) )
   <= ( ~ ( c1_1 @ a1320 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl659]) ).

thf('41',plain,
    ( ~ ( c3_1 @ a1320 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ( c1_1 @ a1320 )
    | ~ ( c2_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf(zip_derived_cl49,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl378,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl998,plain,
    ( ~ ( c3_1 @ a1320 )
   <= ~ ( c3_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl939]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c2_1 @ a1320 )
      | ( c0_1 @ a1320 ) )
   <= ( ~ ( c3_1 @ a1320 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl998]) ).

thf('42',plain,
    ( ( c3_1 @ a1320 )
    | ( c0_1 @ a1320 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl32,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp27
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl55,plain,
    ! [X61: $i,X62: $i,X63: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | ( c1_1 @ X62 )
      | ( c2_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c3_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl402,plain,
    ( ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl617_013,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1850,plain,
    ( ( ( c3_1 @ a1330 )
      | ( c2_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl617]) ).

thf('44',plain,
    ( ~ ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c3_1 @ a1330 )
    | ( c2_1 @ a1330 )
    | ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1850]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c1_1 @ a1314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ( c1_1 @ a1314 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ~ ( c0_1 @ a1314 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c3_1 @ a1314 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl687,plain,
    ( ( c1_1 @ a1314 )
   <= ( c1_1 @ a1314 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl53,plain,
    ! [X58: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl394,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1597,plain,
    ( ( ( c0_1 @ a1314 )
      | ( c3_1 @ a1314 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
      & ( c1_1 @ a1314 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl394]) ).

thf('48',plain,
    ( ~ ( c1_1 @ a1314 )
    | ( c0_1 @ a1314 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ( c3_1 @ a1314 ) ),
    inference(split,[status(esa)],[zip_derived_cl1597]) ).

thf(zip_derived_cl350_014,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl697_015,plain,
    ( ~ ( c1_1 @ a1312 )
   <= ~ ( c1_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1640,plain,
    ( ( ~ ( c0_1 @ a1312 )
      | ( c2_1 @ a1312 ) )
   <= ( ~ ( c1_1 @ a1312 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl697]) ).

thf('49',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ( c2_1 @ a1312 )
    | ( c1_1 @ a1312 )
    | ~ ( c0_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl1640]) ).

thf('50',plain,
    ( hskp15
    | hskp14
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl6,plain,
    ( hskp14
    | hskp4
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( hskp14
    | hskp1
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl338_016,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl617_017,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1378,plain,
    ( ( ~ ( c3_1 @ a1330 )
      | ( c2_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl617]) ).

thf('52',plain,
    ( ~ ( c3_1 @ a1330 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1330 )
    | ( c2_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1378]) ).

thf(zip_derived_cl302_018,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl643_019,plain,
    ( ~ ( c1_1 @ a1324 )
   <= ~ ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl940,plain,
    ( ( ~ ( c3_1 @ a1324 )
      | ~ ( c2_1 @ a1324 ) )
   <= ( ~ ( c1_1 @ a1324 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl643]) ).

thf('53',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a1324 )
    | ( c1_1 @ a1324 )
    | ~ ( c3_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl940]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp22
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp22
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl315_020,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl248_021,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1083,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl248]) ).

thf(zip_derived_cl1111,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1083]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a1328 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl507,plain,
    ( ( c3_1 @ a1328 )
   <= ( c3_1 @ a1328 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2202,plain,
    ( ~ ( c0_1 @ a1328 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a1328 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1111,zip_derived_cl507]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a1328 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ( c0_1 @ a1328 )
   <= ( c0_1 @ a1328 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a1328 )
    | ~ ( c0_1 @ a1328 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2202,zip_derived_cl503]) ).

thf(zip_derived_cl69,plain,
    ! [X90: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | hskp4
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) )
    | hskp2
    | ~ ndr1_0
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl68,plain,
    ! [X89: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c2_1 @ X89 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c0_1 @ X89 )
        | ( c1_1 @ X89 )
        | ~ ( c2_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl659_022,plain,
    ( ~ ( c1_1 @ a1320 )
   <= ~ ( c1_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1947,plain,
    ( ( ~ ( c2_1 @ a1320 )
      | ( c0_1 @ a1320 ) )
   <= ( ~ ( c1_1 @ a1320 )
      & ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c2_1 @ X89 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl659]) ).

thf('57',plain,
    ( ~ ! [X89: $i] :
          ( ( c0_1 @ X89 )
          | ( c1_1 @ X89 )
          | ~ ( c2_1 @ X89 ) )
    | ( c0_1 @ a1320 )
    | ( c1_1 @ a1320 )
    | ~ ( c2_1 @ a1320 ) ),
    inference(split,[status(esa)],[zip_derived_cl1947]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ( c2_1 @ a1320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ( c2_1 @ a1320 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a1320 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ~ ( c0_1 @ a1320 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('60',plain,
    ( ~ ( c1_1 @ a1320 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('61',plain,
    ( ( c0_1 @ a1328 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl60,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c0_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | hskp9
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl318_023,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ~ ( c1_1 @ a1370 )
   <= ~ ( c1_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1160,plain,
    ( ( ~ ( c2_1 @ a1370 )
      | ~ ( c0_1 @ a1370 ) )
   <= ( ~ ( c1_1 @ a1370 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl537]) ).

thf('63',plain,
    ( ~ ( c0_1 @ a1370 )
    | ( c1_1 @ a1370 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl1160]) ).

thf(zip_derived_cl330_024,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl537_025,plain,
    ( ~ ( c1_1 @ a1370 )
   <= ~ ( c1_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1260,plain,
    ( ( ~ ( c2_1 @ a1370 )
      | ( c3_1 @ a1370 ) )
   <= ( ~ ( c1_1 @ a1370 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl537]) ).

thf('64',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a1370 )
    | ( c3_1 @ a1370 )
    | ~ ( c2_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl1260]) ).

thf(zip_derived_cl378_026,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a1370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl539,plain,
    ( ~ ( c3_1 @ a1370 )
   <= ~ ( c3_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1785,plain,
    ( ( ~ ( c2_1 @ a1370 )
      | ( c0_1 @ a1370 ) )
   <= ( ~ ( c3_1 @ a1370 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl539]) ).

thf('65',plain,
    ( ( c0_1 @ a1370 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c3_1 @ a1370 )
    | ~ ( c2_1 @ a1370 ) ),
    inference(split,[status(esa)],[zip_derived_cl1785]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c2_1 @ a1370 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c2_1 @ a1370 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('67',plain,
    ( ~ ( c1_1 @ a1370 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf('68',plain,
    ( ~ ( c3_1 @ a1370 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl24,plain,
    ! [X13: $i] :
      ( ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp20
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( hskp24
    | hskp20
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('70',plain,
    ( ~ ( c1_1 @ a1308 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl338_027,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl721_028,plain,
    ( ~ ( c1_1 @ a1308 )
   <= ~ ( c1_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1371,plain,
    ( ( ~ ( c3_1 @ a1308 )
      | ( c2_1 @ a1308 ) )
   <= ( ~ ( c1_1 @ a1308 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl721]) ).

thf('71',plain,
    ( ( c1_1 @ a1308 )
    | ( c2_1 @ a1308 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ( c3_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1371]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c3_1 @ a1308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl719,plain,
    ( ( c3_1 @ a1308 )
   <= ( c3_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl406_029,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_cl56]) ).

thf(zip_derived_cl1680,plain,
    ( ( ( c0_1 @ a1308 )
      | ( c2_1 @ a1308 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a1308 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl406]) ).

thf('72',plain,
    ( ( c0_1 @ a1308 )
    | ( c2_1 @ a1308 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ~ ( c3_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1680]) ).

thf(zip_derived_cl719_030,plain,
    ( ( c3_1 @ a1308 )
   <= ( c3_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl310,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1347,plain,
    ( ( ( c2_1 @ a1308 )
      | ~ ( c0_1 @ a1308 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1308 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl310]) ).

thf('73',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a1308 )
    | ( c2_1 @ a1308 )
    | ~ ( c3_1 @ a1308 ) ),
    inference(split,[status(esa)],[zip_derived_cl1347]) ).

thf('74',plain,
    ( ( c3_1 @ a1308 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1308 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ~ ( c2_1 @ a1308 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('76',plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | hskp1
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl330_031,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl697_032,plain,
    ( ~ ( c1_1 @ a1312 )
   <= ~ ( c1_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1253,plain,
    ( ( ~ ( c2_1 @ a1312 )
      | ( c3_1 @ a1312 ) )
   <= ( ~ ( c1_1 @ a1312 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl697]) ).

thf('77',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a1312 )
    | ( c1_1 @ a1312 )
    | ( c3_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl1253]) ).

thf(zip_derived_cl402_033,plain,
    ( ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl697_034,plain,
    ( ~ ( c1_1 @ a1312 )
   <= ~ ( c1_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1845,plain,
    ( ( ( c3_1 @ a1312 )
      | ( c2_1 @ a1312 ) )
   <= ( ~ ( c1_1 @ a1312 )
      & ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl697]) ).

thf('78',plain,
    ( ~ ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c2_1 @ a1312 )
    | ( c1_1 @ a1312 )
    | ( c3_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl1845]) ).

thf(zip_derived_cl36,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp20
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp2
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf('80',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl21,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | hskp14
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( hskp14
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl513_035,plain,
    ( ( c1_1 @ a1307 )
   <= ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl243,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1039,plain,
    ( ( ~ ( c2_1 @ a1307 )
      | ~ ( c3_1 @ a1307 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl243]) ).

thf(zip_derived_cl1297,plain,
    ( ~ ( c3_1 @ a1307 )
   <= ~ ( c3_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl262,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1299,plain,
    ( ( ~ ( c0_1 @ a1307 )
      | ~ ( c2_1 @ a1307 ) )
   <= ( ~ ( c3_1 @ a1307 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl262]) ).

thf('82',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ( c3_1 @ a1307 )
    | ~ ( c2_1 @ a1307 )
    | ~ ( c0_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1299]) ).

thf('83',plain,
    ( hskp13
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ~ ( c0_1 @ a1359 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl378_036,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl547,plain,
    ( ~ ( c3_1 @ a1359 )
   <= ~ ( c3_1 @ a1359 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1784,plain,
    ( ( ~ ( c2_1 @ a1359 )
      | ( c0_1 @ a1359 ) )
   <= ( ~ ( c3_1 @ a1359 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl547]) ).

thf('85',plain,
    ( ~ ( c2_1 @ a1359 )
    | ( c3_1 @ a1359 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c0_1 @ a1359 ) ),
    inference(split,[status(esa)],[zip_derived_cl1784]) ).

thf(zip_derived_cl402_037,plain,
    ( ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1359 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ~ ( c1_1 @ a1359 )
   <= ~ ( c1_1 @ a1359 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1851,plain,
    ( ( ( c3_1 @ a1359 )
      | ( c2_1 @ a1359 ) )
   <= ( ~ ( c1_1 @ a1359 )
      & ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl545]) ).

thf('86',plain,
    ( ( c2_1 @ a1359 )
    | ( c3_1 @ a1359 )
    | ~ ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c1_1 @ a1359 ) ),
    inference(split,[status(esa)],[zip_derived_cl1851]) ).

thf(zip_derived_cl711_038,plain,
    ( ( c1_1 @ a1309 )
   <= ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl414_039,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1723,plain,
    ( ( ( c0_1 @ a1309 )
      | ( c2_1 @ a1309 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
      & ( c1_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl414]) ).

thf('87',plain,
    ( ( c0_1 @ a1309 )
    | ( c2_1 @ a1309 )
    | ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
    | ~ ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1723]) ).

thf(zip_derived_cl711_040,plain,
    ( ( c1_1 @ a1309 )
   <= ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl390_041,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1500,plain,
    ( ( ( c0_1 @ a1309 )
      | ~ ( c3_1 @ a1309 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl390]) ).

thf('88',plain,
    ( ( c0_1 @ a1309 )
    | ~ ( c3_1 @ a1309 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1500]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ( c3_1 @ a1309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ( c3_1 @ a1309 )
   <= ( c3_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl406_042,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_cl56]) ).

thf(zip_derived_cl1681,plain,
    ( ( ( c0_1 @ a1309 )
      | ( c2_1 @ a1309 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl406]) ).

thf('89',plain,
    ( ( c0_1 @ a1309 )
    | ( c2_1 @ a1309 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ~ ( c3_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1681]) ).

thf(zip_derived_cl713_043,plain,
    ( ( c3_1 @ a1309 )
   <= ( c3_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl310_044,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( c2_1 @ a1309 )
      | ~ ( c0_1 @ a1309 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1309 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl310]) ).

thf('90',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1309 )
    | ( c2_1 @ a1309 )
    | ~ ( c0_1 @ a1309 ) ),
    inference(split,[status(esa)],[zip_derived_cl1346]) ).

thf('91',plain,
    ( ( c1_1 @ a1309 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('92',plain,
    ( ( c3_1 @ a1309 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1309 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c2_1 @ a1309 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a1359 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('95',plain,
    ( ~ ( c3_1 @ a1359 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl31,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( hskp22
    | hskp2
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('97',plain,
    ( hskp23
    | hskp22
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl11,plain,
    ( hskp28
    | hskp25
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( hskp28
    | hskp25
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c0_1 @ a1394 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c0_1 @ a1394 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c2_1 @ a1394 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ( c2_1 @ a1394 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a1394 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ ( c3_1 @ a1394 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl262_045,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl531,plain,
    ( ~ ( c3_1 @ a1394 )
   <= ~ ( c3_1 @ a1394 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl805,plain,
    ( ( ~ ( c2_1 @ a1394 )
      | ~ ( c0_1 @ a1394 ) )
   <= ( ~ ( c3_1 @ a1394 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl531]) ).

thf('103',plain,
    ( ~ ( c0_1 @ a1394 )
    | ( c3_1 @ a1394 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a1394 ) ),
    inference(split,[status(esa)],[zip_derived_cl805]) ).

thf(zip_derived_cl4,plain,
    ( hskp26
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( hskp26
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl262_046,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a1312 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl699,plain,
    ( ~ ( c3_1 @ a1312 )
   <= ~ ( c3_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl795,plain,
    ( ( ~ ( c2_1 @ a1312 )
      | ~ ( c0_1 @ a1312 ) )
   <= ( ~ ( c3_1 @ a1312 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl699]) ).

thf('105',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a1312 )
    | ( c3_1 @ a1312 )
    | ~ ( c0_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl795]) ).

thf(zip_derived_cl28,plain,
    ! [X17: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl699_047,plain,
    ( ~ ( c3_1 @ a1312 )
   <= ~ ( c3_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl868,plain,
    ( ( ~ ( c0_1 @ a1312 )
      | ( c2_1 @ a1312 ) )
   <= ( ~ ( c3_1 @ a1312 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl699]) ).

thf('106',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ( c2_1 @ a1312 )
    | ( c3_1 @ a1312 )
    | ~ ( c0_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl868]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl38,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | hskp19
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl617_048,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1327,plain,
    ( ( ~ ( c0_1 @ a1330 )
      | ( c3_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl617]) ).

thf('108',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a1330 )
    | ( c1_1 @ a1330 )
    | ~ ( c0_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1327]) ).

thf('109',plain,
    ( hskp28
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl12,plain,
    ( hskp19
    | hskp14
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( hskp19
    | hskp14
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl13,plain,
    ( hskp30
    | hskp2
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( hskp2
    | hskp9
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl378_049,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1331 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c3_1 @ a1331 )
   <= ~ ( c3_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1778,plain,
    ( ( ~ ( c2_1 @ a1331 )
      | ( c0_1 @ a1331 ) )
   <= ( ~ ( c3_1 @ a1331 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl611]) ).

thf('113',plain,
    ( ( c0_1 @ a1331 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c3_1 @ a1331 )
    | ~ ( c2_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl1778]) ).

thf('114',plain,
    ( hskp15
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl334_050,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl697_051,plain,
    ( ~ ( c1_1 @ a1312 )
   <= ~ ( c1_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1322,plain,
    ( ( ~ ( c0_1 @ a1312 )
      | ( c3_1 @ a1312 ) )
   <= ( ~ ( c1_1 @ a1312 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl697]) ).

thf('115',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a1312 )
    | ( c3_1 @ a1312 )
    | ~ ( c0_1 @ a1312 ) ),
    inference(split,[status(esa)],[zip_derived_cl1322]) ).

thf('116',plain,
    ( hskp17
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c0_1 @ a1411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ( c0_1 @ a1411 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a1411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ ( c2_1 @ a1411 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a1411 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a1411 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl294_052,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl523,plain,
    ( ~ ( c3_1 @ a1411 )
   <= ~ ( c3_1 @ a1411 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl879,plain,
    ( ( ~ ( c0_1 @ a1411 )
      | ( c2_1 @ a1411 ) )
   <= ( ~ ( c3_1 @ a1411 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl523]) ).

thf('120',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ( c2_1 @ a1411 )
    | ( c3_1 @ a1411 )
    | ~ ( c0_1 @ a1411 ) ),
    inference(split,[status(esa)],[zip_derived_cl879]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl5,plain,
    ( hskp26
    | hskp29
    | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( hskp26
    | hskp20
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    ( hskp20
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp20
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl378_053,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl567_054,plain,
    ( ( c1_1 @ a1348 )
   <= ( c1_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl243_055,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1068,plain,
    ( ( ~ ( c2_1 @ a1348 )
      | ~ ( c3_1 @ a1348 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl243]) ).

thf(zip_derived_cl1356,plain,
    ( ~ ( c3_1 @ a1348 )
   <= ~ ( c3_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1068]) ).

thf(zip_derived_cl1782,plain,
    ( ( ~ ( c2_1 @ a1348 )
      | ( c0_1 @ a1348 ) )
   <= ( ~ ( c3_1 @ a1348 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl1356]) ).

thf('124',plain,
    ( ( c3_1 @ a1348 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1348 )
    | ( c0_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1782]) ).

thf('125',plain,
    ( ( c1_1 @ a1348 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c2_1 @ a1348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ( c2_1 @ a1348 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a1348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ ( c0_1 @ a1348 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('128',plain,
    ( ~ ( c3_1 @ a1348 )
    | ~ ( c1_1 @ a1348 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1068]) ).

thf(zip_derived_cl577_056,plain,
    ( ( c1_1 @ a1344 )
   <= ( c1_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl248_057,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1117,plain,
    ( ( ~ ( c0_1 @ a1344 )
      | ~ ( c3_1 @ a1344 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1344 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl248]) ).

thf('129',plain,
    ( ~ ( c3_1 @ a1344 )
    | ~ ( c1_1 @ a1344 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl1117]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c1_1 @ a1331 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ( c1_1 @ a1331 )
   <= ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl278,plain,
    ( ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1188,plain,
    ( ( ( c3_1 @ a1331 )
      | ~ ( c0_1 @ a1331 ) )
   <= ( ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1331 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl278]) ).

thf('130',plain,
    ( ~ ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a1331 )
    | ( c3_1 @ a1331 )
    | ~ ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl1188]) ).

thf(zip_derived_cl338_058,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl643_059,plain,
    ( ~ ( c1_1 @ a1324 )
   <= ~ ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1376,plain,
    ( ( ~ ( c3_1 @ a1324 )
      | ( c2_1 @ a1324 ) )
   <= ( ~ ( c1_1 @ a1324 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl643]) ).

thf(zip_derived_cl2963,plain,
    ( ( c2_1 @ a1324 )
   <= ( c2_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1376]) ).

thf(zip_derived_cl302_060,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl243_061,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl928,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl243]) ).

thf(zip_derived_cl956,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl928]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ( c3_1 @ a1324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ( c3_1 @ a1324 )
   <= ( c3_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl2164,plain,
    ( ~ ( c2_1 @ a1324 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1324 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl641]) ).

thf('131',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c2_1 @ a1324 )
    | ~ ( c3_1 @ a1324 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2963,zip_derived_cl2164]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c2_1 @ a1328 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c2_1 @ a1328 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('133',plain,
    ( ( c3_1 @ a1328 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl956_062,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl928]) ).

thf(zip_derived_cl507_063,plain,
    ( ( c3_1 @ a1328 )
   <= ( c3_1 @ a1328 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2168,plain,
    ( ~ ( c2_1 @ a1328 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1328 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl507]) ).

thf(zip_derived_cl505,plain,
    ( ( c2_1 @ a1328 )
   <= ( c2_1 @ a1328 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('134',plain,
    ( ~ ( c2_1 @ a1328 )
    | ~ ( c3_1 @ a1328 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2168,zip_derived_cl505]) ).

thf(zip_derived_cl956_064,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl928]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ( c3_1 @ a1334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ( c3_1 @ a1334 )
   <= ( c3_1 @ a1334 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl2166,plain,
    ( ~ ( c2_1 @ a1334 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
      & ( c3_1 @ a1334 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl593]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c2_1 @ a1334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ( c2_1 @ a1334 )
   <= ( c2_1 @ a1334 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a1334 )
    | ~ ( c3_1 @ a1334 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2166,zip_derived_cl591]) ).

thf(zip_derived_cl577_065,plain,
    ( ( c1_1 @ a1344 )
   <= ( c1_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl259_066,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1119,plain,
    ( ( ( c3_1 @ a1344 )
      | ~ ( c2_1 @ a1344 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a1344 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl259]) ).

thf(zip_derived_cl3494,plain,
    ( ( c3_1 @ a1344 )
   <= ( c3_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl1119]) ).

thf(zip_derived_cl310_067,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl3506,plain,
    ( ( ( c2_1 @ a1344 )
      | ~ ( c0_1 @ a1344 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1344 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3494,zip_derived_cl310]) ).

thf('136',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1344 )
    | ( c2_1 @ a1344 )
    | ~ ( c0_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl3506]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c0_1 @ a1344 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c0_1 @ a1344 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('138',plain,
    ( ( c1_1 @ a1344 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1344 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ ( c2_1 @ a1344 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl577_068,plain,
    ( ( c1_1 @ a1344 )
   <= ( c1_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl278_069,plain,
    ( ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1120,plain,
    ( ( ( c3_1 @ a1344 )
      | ~ ( c0_1 @ a1344 ) )
   <= ( ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1344 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl278]) ).

thf('140',plain,
    ( ( c3_1 @ a1344 )
    | ~ ( c1_1 @ a1344 )
    | ~ ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a1344 ) ),
    inference(split,[status(esa)],[zip_derived_cl1120]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c3_1 @ a1372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ( ( c3_1 @ a1372 )
   <= ( c3_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl310_070,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1019,plain,
    ( ( ( c2_1 @ a1372 )
      | ~ ( c0_1 @ a1372 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl310]) ).

thf('141',plain,
    ( ( c2_1 @ a1372 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1372 )
    | ~ ( c0_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl1019]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c1_1 @ a1372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ( c1_1 @ a1372 )
   <= ( c1_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl243_071,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl966,plain,
    ( ( ~ ( c2_1 @ a1372 )
      | ~ ( c3_1 @ a1372 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl243]) ).

thf('142',plain,
    ( ~ ( c2_1 @ a1372 )
    | ~ ( c1_1 @ a1372 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl966]) ).

thf(zip_derived_cl23,plain,
    ! [X11: $i,X12: $i] :
      ( ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp11
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c0_1 @ a1321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c0_1 @ a1321 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ( c3_1 @ a1321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c3_1 @ a1321 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a1321 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c2_1 @ a1321 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl649,plain,
    ( ( c3_1 @ a1321 )
   <= ( c3_1 @ a1321 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl310_072,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1226,plain,
    ( ( ( c2_1 @ a1321 )
      | ~ ( c0_1 @ a1321 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1321 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl310]) ).

thf('147',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1321 )
    | ( c2_1 @ a1321 )
    | ~ ( c0_1 @ a1321 ) ),
    inference(split,[status(esa)],[zip_derived_cl1226]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c3_1 @ a1352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c3_1 @ a1352 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ~ ( c0_1 @ a1352 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a1352 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ ( c2_1 @ a1352 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf('151',plain,
    ( hskp0
    | hskp21
    | ~ ndr1_0
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('152',plain,
    ( ~ ( c1_1 @ a1306 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl338_073,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl729_074,plain,
    ( ~ ( c1_1 @ a1306 )
   <= ~ ( c1_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl1370,plain,
    ( ( ~ ( c3_1 @ a1306 )
      | ( c2_1 @ a1306 ) )
   <= ( ~ ( c1_1 @ a1306 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl729]) ).

thf('153',plain,
    ( ~ ( c3_1 @ a1306 )
    | ( c2_1 @ a1306 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1370]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ ( c0_1 @ a1306 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1306 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ ( c2_1 @ a1306 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl429_075,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl302_076,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl729_077,plain,
    ( ~ ( c1_1 @ a1306 )
   <= ~ ( c1_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl934,plain,
    ( ( ~ ( c3_1 @ a1306 )
      | ~ ( c2_1 @ a1306 ) )
   <= ( ~ ( c1_1 @ a1306 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl729]) ).

thf(zip_derived_cl960,plain,
    ( ~ ( c3_1 @ a1306 )
   <= ~ ( c3_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl934]) ).

thf(zip_derived_cl1984,plain,
    ( ( ( c2_1 @ a1306 )
      | ( c0_1 @ a1306 ) )
   <= ( ~ ( c3_1 @ a1306 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl960]) ).

thf('156',plain,
    ( ( c0_1 @ a1306 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c3_1 @ a1306 )
    | ( c2_1 @ a1306 ) ),
    inference(split,[status(esa)],[zip_derived_cl1984]) ).

thf(zip_derived_cl57,plain,
    ! [X66: $i,X67: $i,X68: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl318_078,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl643_079,plain,
    ( ~ ( c1_1 @ a1324 )
   <= ~ ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1156,plain,
    ( ( ~ ( c2_1 @ a1324 )
      | ~ ( c0_1 @ a1324 ) )
   <= ( ~ ( c1_1 @ a1324 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl643]) ).

thf('158',plain,
    ( ~ ( c2_1 @ a1324 )
    | ( c1_1 @ a1324 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c0_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1156]) ).

thf(zip_derived_cl641_080,plain,
    ( ( c3_1 @ a1324 )
   <= ( c3_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl310_081,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1207,plain,
    ( ( ( c2_1 @ a1324 )
      | ~ ( c0_1 @ a1324 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1324 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl310]) ).

thf('159',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ( c2_1 @ a1324 )
    | ~ ( c0_1 @ a1324 )
    | ~ ( c3_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1207]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c0_1 @ a1324 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c0_1 @ a1324 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('161',plain,
    ( ( c3_1 @ a1324 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('162',plain,
    ( ~ ( c1_1 @ a1324 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl315_082,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl643_083,plain,
    ( ~ ( c1_1 @ a1324 )
   <= ~ ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1094,plain,
    ( ( ~ ( c3_1 @ a1324 )
      | ~ ( c0_1 @ a1324 ) )
   <= ( ~ ( c1_1 @ a1324 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl643]) ).

thf('163',plain,
    ( ~ ( c0_1 @ a1324 )
    | ( c1_1 @ a1324 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1094]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c1_1 @ a1339 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( c1_1 @ a1339 )
   <= ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl390_084,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1505,plain,
    ( ( ( c0_1 @ a1339 )
      | ~ ( c3_1 @ a1339 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a1339 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl390]) ).

thf('164',plain,
    ( ~ ( c3_1 @ a1339 )
    | ( c0_1 @ a1339 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl1505]) ).

thf(zip_derived_cl59,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
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
    | hskp11
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl583_085,plain,
    ( ( c1_1 @ a1339 )
   <= ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl394_086,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1601,plain,
    ( ( ( c0_1 @ a1339 )
      | ( c3_1 @ a1339 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
      & ( c1_1 @ a1339 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl394]) ).

thf('166',plain,
    ( ( c3_1 @ a1339 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ( c0_1 @ a1339 )
    | ~ ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl1601]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a1339 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ~ ( c2_1 @ a1339 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl64,plain,
    ! [X81: $i,X82: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ndr1_0
      | ( c0_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | hskp8
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf('169',plain,
    ( ( c2_1 @ a1334 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('170',plain,
    ( ( c3_1 @ a1334 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1334 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a1334 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl40,plain,
    ! [X32: $i,X33: $i,X34: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c1_1 @ X33 )
      | ~ ndr1_0
      | ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl18,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( hskp17
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl513_087,plain,
    ( ( c1_1 @ a1307 )
   <= ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl251_088,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1041,plain,
    ( ( ~ ( c0_1 @ a1307 )
      | ~ ( c2_1 @ a1307 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl251]) ).

thf('174',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1307 )
    | ~ ( c1_1 @ a1307 )
    | ~ ( c2_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1041]) ).

thf(zip_derived_cl29,plain,
    ! [X18: $i,X19: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0
      | ( c3_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( hskp27
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl45,plain,
    ! [X42: $i,X43: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | ( c1_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( hskp15
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl302_089,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl617_090,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl942,plain,
    ( ( ~ ( c3_1 @ a1330 )
      | ~ ( c2_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl617]) ).

thf(zip_derived_cl1008,plain,
    ( ~ ( c3_1 @ a1330 )
   <= ~ ( c3_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl942]) ).

thf(zip_derived_cl294_091,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1011,plain,
    ( ( ( c2_1 @ a1330 )
      | ~ ( c0_1 @ a1330 ) )
   <= ( ~ ( c3_1 @ a1330 )
      & ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1008,zip_derived_cl294]) ).

thf('177',plain,
    ( ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c0_1 @ X17 ) )
    | ( c3_1 @ a1330 )
    | ( c2_1 @ a1330 )
    | ~ ( c0_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1011]) ).

thf(zip_derived_cl350_092,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl617_093,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1645,plain,
    ( ( ~ ( c0_1 @ a1330 )
      | ( c2_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl617]) ).

thf('178',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ( c1_1 @ a1330 )
    | ( c2_1 @ a1330 )
    | ~ ( c0_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1645]) ).

thf(zip_derived_cl330_094,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl617_095,plain,
    ( ~ ( c1_1 @ a1330 )
   <= ~ ( c1_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1258,plain,
    ( ( ~ ( c2_1 @ a1330 )
      | ( c3_1 @ a1330 ) )
   <= ( ~ ( c1_1 @ a1330 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl617]) ).

thf(zip_derived_cl4778,plain,
    ( ( c3_1 @ a1330 )
   <= ( c3_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl310_096,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl4802,plain,
    ( ( ( c2_1 @ a1330 )
      | ~ ( c0_1 @ a1330 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1330 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4778,zip_derived_cl310]) ).

thf('179',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1330 )
    | ( c2_1 @ a1330 )
    | ~ ( c0_1 @ a1330 ) ),
    inference(split,[status(esa)],[zip_derived_cl4802]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a1330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c0_1 @ a1330 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('181',plain,
    ( ~ ( c1_1 @ a1330 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a1330 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ~ ( c2_1 @ a1330 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl25,plain,
    ! [X14: $i] :
      ( ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | hskp14
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp14
    | hskp8
    | ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl559,plain,
    ( ( c3_1 @ a1352 )
   <= ( c3_1 @ a1352 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl406_097,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_cl56]) ).

thf(zip_derived_cl1687,plain,
    ( ( ( c0_1 @ a1352 )
      | ( c2_1 @ a1352 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a1352 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl406]) ).

thf('184',plain,
    ( ( c0_1 @ a1352 )
    | ( c2_1 @ a1352 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ~ ( c3_1 @ a1352 ) ),
    inference(split,[status(esa)],[zip_derived_cl1687]) ).

thf('185',plain,
    ( ( c1_1 @ a1339 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a1326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ ( c1_1 @ a1326 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a1326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ ( c2_1 @ a1326 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a1326 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a1326 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a1372 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ( c0_1 @ a1372 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('190',plain,
    ( ( c1_1 @ a1372 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('191',plain,
    ( ( c3_1 @ a1372 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl489_098,plain,
    ( ( c1_1 @ a1372 )
   <= ( c1_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl248_099,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl967,plain,
    ( ( ~ ( c0_1 @ a1372 )
      | ~ ( c3_1 @ a1372 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1372 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl248]) ).

thf('192',plain,
    ( ~ ( c1_1 @ a1372 )
    | ~ ( c3_1 @ a1372 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1372 ) ),
    inference(split,[status(esa)],[zip_derived_cl967]) ).

thf('193',plain,
    ( hskp13
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('194',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl607_100,plain,
    ( ( c1_1 @ a1331 )
   <= ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl251_101,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1186,plain,
    ( ( ~ ( c0_1 @ a1331 )
      | ~ ( c2_1 @ a1331 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1331 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl251]) ).

thf('195',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1331 )
    | ~ ( c1_1 @ a1331 )
    | ~ ( c2_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf(zip_derived_cl262_102,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl611_103,plain,
    ( ~ ( c3_1 @ a1331 )
   <= ~ ( c3_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl800,plain,
    ( ( ~ ( c2_1 @ a1331 )
      | ~ ( c0_1 @ a1331 ) )
   <= ( ~ ( c3_1 @ a1331 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl611]) ).

thf('196',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a1331 )
    | ( c3_1 @ a1331 )
    | ~ ( c2_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl800]) ).

thf(zip_derived_cl607_104,plain,
    ( ( c1_1 @ a1331 )
   <= ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl259_105,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1187,plain,
    ( ( ( c3_1 @ a1331 )
      | ~ ( c2_1 @ a1331 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a1331 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl259]) ).

thf('197',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a1331 )
    | ~ ( c1_1 @ a1331 )
    | ( c3_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl1187]) ).

thf(zip_derived_cl607_106,plain,
    ( ( c1_1 @ a1331 )
   <= ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl394_107,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1599,plain,
    ( ( ( c0_1 @ a1331 )
      | ( c3_1 @ a1331 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
      & ( c1_1 @ a1331 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl394]) ).

thf('198',plain,
    ( ( c0_1 @ a1331 )
    | ( c3_1 @ a1331 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ~ ( c1_1 @ a1331 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf('199',plain,
    ( ( c1_1 @ a1331 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c2_1 @ a1331 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ( c2_1 @ a1331 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('201',plain,
    ( ~ ( c3_1 @ a1331 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('202',plain,
    ( ~ ( c3_1 @ a1307 )
    | ~ ( c1_1 @ a1307 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c0_1 @ a1307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c0_1 @ a1307 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('204',plain,
    ( ( c1_1 @ a1307 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c2_1 @ a1307 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ( c2_1 @ a1307 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl513_108,plain,
    ( ( c1_1 @ a1307 )
   <= ( c1_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl278_109,plain,
    ( ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1043,plain,
    ( ( ( c3_1 @ a1307 )
      | ~ ( c0_1 @ a1307 ) )
   <= ( ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1307 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl278]) ).

thf('206',plain,
    ( ~ ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a1307 )
    | ~ ( c1_1 @ a1307 )
    | ~ ( c0_1 @ a1307 ) ),
    inference(split,[status(esa)],[zip_derived_cl1043]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c2_1 @ a1338 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ( c2_1 @ a1338 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl495_110,plain,
    ( ( c1_1 @ a1338 )
   <= ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl243_111,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl992,plain,
    ( ( ~ ( c2_1 @ a1338 )
      | ~ ( c3_1 @ a1338 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1338 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl243]) ).

thf('208',plain,
    ( ~ ( c1_1 @ a1338 )
    | ~ ( c3_1 @ a1338 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl992]) ).

thf(zip_derived_cl41,plain,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c0_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c0_1 @ a1356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ( c0_1 @ a1356 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ( c1_1 @ a1356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ( c1_1 @ a1356 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a1356 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ~ ( c3_1 @ a1356 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl553,plain,
    ( ( c1_1 @ a1356 )
   <= ( c1_1 @ a1356 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl278_112,plain,
    ( ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1065,plain,
    ( ( ( c3_1 @ a1356 )
      | ~ ( c0_1 @ a1356 ) )
   <= ( ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1356 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl278]) ).

thf('213',plain,
    ( ~ ! [X13: $i] :
          ( ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a1356 )
    | ( c3_1 @ a1356 )
    | ~ ( c0_1 @ a1356 ) ),
    inference(split,[status(esa)],[zip_derived_cl1065]) ).

thf(zip_derived_cl593_113,plain,
    ( ( c3_1 @ a1334 )
   <= ( c3_1 @ a1334 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl367_114,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1439,plain,
    ( ( ( c0_1 @ a1334 )
      | ~ ( c2_1 @ a1334 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a1334 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl367]) ).

thf('214',plain,
    ( ~ ( c2_1 @ a1334 )
    | ~ ( c3_1 @ a1334 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ( c0_1 @ a1334 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl0,plain,
    ( hskp6
    | hskp0
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( hskp23
    | hskp0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c2_1 @ a1319 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ( c2_1 @ a1319 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a1319 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ~ ( c0_1 @ a1319 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1319 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ~ ( c3_1 @ a1319 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl378_115,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl667,plain,
    ( ~ ( c3_1 @ a1319 )
   <= ~ ( c3_1 @ a1319 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1773,plain,
    ( ( ~ ( c2_1 @ a1319 )
      | ( c0_1 @ a1319 ) )
   <= ( ~ ( c3_1 @ a1319 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl667]) ).

thf('222',plain,
    ( ( c0_1 @ a1319 )
    | ( c3_1 @ a1319 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1319 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ( c3_1 @ a1325 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ( c3_1 @ a1325 )
   <= ( c3_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl406_116,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_cl56]) ).

thf(zip_derived_cl1685,plain,
    ( ( ( c0_1 @ a1325 )
      | ( c2_1 @ a1325 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
      & ( c3_1 @ a1325 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl406]) ).

thf('223',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c3_1 @ X64 ) )
    | ( c2_1 @ a1325 )
    | ~ ( c3_1 @ a1325 )
    | ( c0_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl1685]) ).

thf('224',plain,
    ( ( c2_1 @ a1324 )
    | ~ ( c3_1 @ a1324 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1324 ) ),
    inference(split,[status(esa)],[zip_derived_cl1376]) ).

thf(zip_derived_cl633_117,plain,
    ( ( c3_1 @ a1325 )
   <= ( c3_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl367_118,plain,
    ( ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1438,plain,
    ( ( ( c0_1 @ a1325 )
      | ~ ( c2_1 @ a1325 ) )
   <= ( ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
      & ( c3_1 @ a1325 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl367]) ).

thf('225',plain,
    ( ~ ( c2_1 @ a1325 )
    | ~ ! [X44: $i] :
          ( ( c0_1 @ X44 )
          | ~ ( c2_1 @ X44 )
          | ~ ( c3_1 @ X44 ) )
    | ( c0_1 @ a1325 )
    | ~ ( c3_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl1438]) ).

thf(zip_derived_cl631_119,plain,
    ( ( c1_1 @ a1325 )
   <= ( c1_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl390_120,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1502,plain,
    ( ( ( c0_1 @ a1325 )
      | ~ ( c3_1 @ a1325 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a1325 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl390]) ).

thf('226',plain,
    ( ~ ( c1_1 @ a1325 )
    | ~ ( c3_1 @ a1325 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ( c0_1 @ a1325 ) ),
    inference(split,[status(esa)],[zip_derived_cl1502]) ).

thf('227',plain,
    ( ( c1_1 @ a1325 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('228',plain,
    ( ( c3_1 @ a1325 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1325 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ~ ( c0_1 @ a1325 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl402_121,plain,
    ( ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c1_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl623,plain,
    ( ~ ( c1_1 @ a1326 )
   <= ~ ( c1_1 @ a1326 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl1849,plain,
    ( ( ( c3_1 @ a1326 )
      | ( c2_1 @ a1326 ) )
   <= ( ~ ( c1_1 @ a1326 )
      & ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl623]) ).

thf('230',plain,
    ( ~ ! [X62: $i] :
          ( ( c1_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c1_1 @ a1326 )
    | ( c2_1 @ a1326 )
    | ( c3_1 @ a1326 ) ),
    inference(split,[status(esa)],[zip_derived_cl1849]) ).

thf(zip_derived_cl567_122,plain,
    ( ( c1_1 @ a1348 )
   <= ( c1_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl394_123,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c1_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1603,plain,
    ( ( ( c0_1 @ a1348 )
      | ( c3_1 @ a1348 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
      & ( c1_1 @ a1348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl394]) ).

thf('231',plain,
    ( ( c3_1 @ a1348 )
    | ~ ( c1_1 @ a1348 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c1_1 @ X58 ) )
    | ( c0_1 @ a1348 ) ),
    inference(split,[status(esa)],[zip_derived_cl1603]) ).

thf(zip_derived_cl51,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ( c0_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | ( c1_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ! [X44: $i] :
        ( ( c0_1 @ X44 )
        | ~ ( c2_1 @ X44 )
        | ~ ( c3_1 @ X44 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c0_1 @ a1312 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ( c0_1 @ a1312 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('234',plain,
    ( ~ ( c1_1 @ a1312 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('235',plain,
    ( ~ ( c3_1 @ a1312 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl22,plain,
    ! [X10: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp30
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( hskp18
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | hskp30
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('237',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | hskp4
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl495_124,plain,
    ( ( c1_1 @ a1338 )
   <= ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl390_125,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1510,plain,
    ( ( ( c0_1 @ a1338 )
      | ~ ( c3_1 @ a1338 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c1_1 @ a1338 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl390]) ).

thf('238',plain,
    ( ( c0_1 @ a1338 )
    | ~ ( c3_1 @ a1338 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl1510]) ).

thf('239',plain,
    ( ( c1_1 @ a1338 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('240',plain,
    ( ( c3_1 @ a1338 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl495_126,plain,
    ( ( c1_1 @ a1338 )
   <= ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl248_127,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl993,plain,
    ( ( ~ ( c0_1 @ a1338 )
      | ~ ( c3_1 @ a1338 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1338 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl248]) ).

thf('241',plain,
    ( ~ ( c0_1 @ a1338 )
    | ~ ( c3_1 @ a1338 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1338 ) ),
    inference(split,[status(esa)],[zip_derived_cl993]) ).

thf(zip_derived_cl43,plain,
    ! [X39: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp29
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( hskp18
    | hskp29
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a1339 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('243',plain,
    ( ~ ( c0_1 @ a1339 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl583_128,plain,
    ( ( c1_1 @ a1339 )
   <= ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl414_129,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1728,plain,
    ( ( ( c0_1 @ a1339 )
      | ( c2_1 @ a1339 ) )
   <= ( ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
      & ( c1_1 @ a1339 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl414]) ).

thf('244',plain,
    ( ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c2_1 @ X69 )
          | ~ ( c1_1 @ X69 ) )
    | ( c0_1 @ a1339 )
    | ( c2_1 @ a1339 )
    | ~ ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl1728]) ).

thf(zip_derived_cl61,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c2_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c2_1 @ X69 )
        | ~ ( c1_1 @ X69 ) )
    | ~ ndr1_0
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c3_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl583_130,plain,
    ( ( c1_1 @ a1339 )
   <= ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl26,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp14
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1127,plain,
    ( ( ( c2_1 @ a1339 )
      | ( c3_1 @ a1339 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
      & ( c1_1 @ a1339 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl286]) ).

thf('246',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ( c3_1 @ a1339 )
    | ( c2_1 @ a1339 )
    | ~ ( c1_1 @ a1339 ) ),
    inference(split,[status(esa)],[zip_derived_cl1127]) ).

thf(zip_derived_cl7436,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN478+1 : TPTP v9.2.0. Released v2.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jev8POwmZU true
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 13:44:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.45/0.58  % Total configuration time : 435
% 0.45/0.58  % Estimated wc time : 1092
% 0.45/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.59/2.07  % Solved by fo/fo1_av.sh.
% 10.59/2.07  % done 1815 iterations in 1.273s
% 10.59/2.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.59/2.07  % SZS output start Refutation
% See solution above
% 10.59/2.08  
% 10.59/2.08  
% 10.59/2.08  % Terminating...
% 10.79/2.15  % Runner terminated.
% 10.79/2.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------