TSTP Solution File: SYN479+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN479+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.99i5bb1Z4R true

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:57 EDT 2023

% Result   : Theorem 5.23s 1.58s
% Output   : Refutation 5.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  794 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4990 (   0 equ;   0 cnn)
%            Maximal formula atoms :  745 (   6 avg)
%            Number of connectives : 10872 (2638   ~;3131   |; 544   &;3971   @)
%                                         (   0 <=>; 242  =>; 346  <=;   0 <~>)
%            Maximal formula depth :  110 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  936 (   0   ^; 936   !;   0   ?; 936   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a1431_type,type,
    a1431: $i ).

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

thf(a1507_type,type,
    a1507: $i ).

thf(a1447_type,type,
    a1447: $i ).

thf(a1477_type,type,
    a1477: $i ).

thf(a1456_type,type,
    a1456: $i ).

thf(a1454_type,type,
    a1454: $i ).

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

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

thf(a1427_type,type,
    a1427: $i ).

thf(a1437_type,type,
    a1437: $i ).

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

thf(hskp3_type,type,
    hskp3: $o ).

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

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

thf(a1429_type,type,
    a1429: $i ).

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

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

thf(a1434_type,type,
    a1434: $i ).

thf(a1460_type,type,
    a1460: $i ).

thf(a1468_type,type,
    a1468: $i ).

thf(a1483_type,type,
    a1483: $i ).

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

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

thf(a1445_type,type,
    a1445: $i ).

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

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

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

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

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

thf(a1444_type,type,
    a1444: $i ).

thf(a1448_type,type,
    a1448: $i ).

thf(a1458_type,type,
    a1458: $i ).

thf(a1466_type,type,
    a1466: $i ).

thf(a1517_type,type,
    a1517: $i ).

thf(a1457_type,type,
    a1457: $i ).

thf(a1452_type,type,
    a1452: $i ).

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

thf(a1465_type,type,
    a1465: $i ).

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

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

thf(a1438_type,type,
    a1438: $i ).

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

thf(a1504_type,type,
    a1504: $i ).

thf(a1430_type,type,
    a1430: $i ).

thf(a1441_type,type,
    a1441: $i ).

thf(a1449_type,type,
    a1449: $i ).

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

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

thf(a1451_type,type,
    a1451: $i ).

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

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

thf(a1435_type,type,
    a1435: $i ).

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

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

thf(hskp2_type,type,
    hskp2: $o ).

thf(a1487_type,type,
    a1487: $i ).

thf(hskp20_type,type,
    hskp20: $o ).

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

thf(hskp23_type,type,
    hskp23: $o ).

thf(hskp15_type,type,
    hskp15: $o ).

thf(a1428_type,type,
    a1428: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a1427 )
          & ( c2_1 @ a1427 )
          & ~ ( c3_1 @ a1427 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a1429 )
          & ( c3_1 @ a1429 )
          & ~ ( c0_1 @ a1429 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a1430 )
          & ~ ( c0_1 @ a1430 )
          & ~ ( c2_1 @ a1430 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1431 )
          & ~ ( c0_1 @ a1431 )
          & ~ ( c2_1 @ a1431 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1434 )
          & ( c3_1 @ a1434 )
          & ~ ( c2_1 @ a1434 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a1435 )
          & ~ ( c2_1 @ a1435 )
          & ~ ( c3_1 @ a1435 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a1437 )
          & ~ ( c1_1 @ a1437 )
          & ~ ( c2_1 @ a1437 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a1438 )
          & ~ ( c0_1 @ a1438 )
          & ~ ( c1_1 @ a1438 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1441 )
          & ( c3_1 @ a1441 )
          & ~ ( c1_1 @ a1441 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c1_1 @ a1444 )
          & ~ ( c2_1 @ a1444 )
          & ~ ( c3_1 @ a1444 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a1445 )
          & ~ ( c1_1 @ a1445 )
          & ~ ( c3_1 @ a1445 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c0_1 @ a1447 )
          & ~ ( c2_1 @ a1447 )
          & ~ ( c3_1 @ a1447 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a1448 )
          & ( c3_1 @ a1448 )
          & ~ ( c2_1 @ a1448 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a1449 )
          & ( c2_1 @ a1449 )
          & ~ ( c3_1 @ a1449 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a1451 )
          & ~ ( c1_1 @ a1451 )
          & ~ ( c3_1 @ a1451 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a1452 )
          & ( c1_1 @ a1452 )
          & ~ ( c3_1 @ a1452 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a1454 )
          & ~ ( c0_1 @ a1454 )
          & ~ ( c3_1 @ a1454 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c0_1 @ a1457 )
          & ~ ( c1_1 @ a1457 )
          & ~ ( c2_1 @ a1457 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a1458 )
          & ( c1_1 @ a1458 )
          & ~ ( c2_1 @ a1458 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c0_1 @ a1460 )
          & ~ ( c1_1 @ a1460 )
          & ~ ( c3_1 @ a1460 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a1465 )
          & ( c3_1 @ a1465 )
          & ~ ( c1_1 @ a1465 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a1466 )
          & ( c2_1 @ a1466 )
          & ~ ( c1_1 @ a1466 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a1468 )
          & ( c3_1 @ a1468 )
          & ~ ( c0_1 @ a1468 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a1477 )
          & ~ ( c0_1 @ a1477 )
          & ~ ( c1_1 @ a1477 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a1487 )
          & ~ ( c1_1 @ a1487 )
          & ~ ( c2_1 @ a1487 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a1504 )
          & ( c2_1 @ a1504 )
          & ~ ( c0_1 @ a1504 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c2_1 @ a1517 )
          & ~ ( c0_1 @ a1517 )
          & ~ ( c3_1 @ a1517 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1428 )
          & ( c2_1 @ a1428 )
          & ( c3_1 @ a1428 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1456 )
          & ( c1_1 @ a1456 )
          & ( c3_1 @ a1456 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a1483 )
          & ( c2_1 @ a1483 )
          & ( c3_1 @ a1483 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a1507 )
          & ( c1_1 @ a1507 )
          & ( c2_1 @ a1507 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c0_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ~ ( c0_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Y )
              | ( c3_1 @ Y )
              | ~ ( c0_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 )
              | ~ ( c3_1 @ X1 ) ) )
        | hskp27 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | hskp3 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ( c2_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp0 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X15 )
              | ~ ( c2_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | hskp0
        | hskp4 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ( c3_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | hskp5 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X23 )
              | ~ ( c0_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | hskp5 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp2 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp0 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | hskp8
        | hskp7 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp0 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | hskp9 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | hskp10 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | hskp5
        | hskp11 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | hskp12 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | hskp13
        | hskp1 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | hskp14 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp15 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) )
        | hskp7 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c0_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp16
        | hskp7 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp28 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp17 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp18 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp3
        | hskp19 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | hskp12 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp12 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | hskp17 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | hskp7 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c0_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 ) ) )
        | hskp20 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X71 )
              | ~ ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) )
        | hskp21 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | hskp19 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp22 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) ) )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp6 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp22
        | hskp9 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp13 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | hskp0
        | hskp11 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp28 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | hskp8 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | hskp23 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp20
        | hskp11 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ( c3_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp18 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp11 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 ) ) )
        | hskp5
        | hskp29 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 ) ) )
        | hskp4
        | hskp7 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 ) ) )
        | hskp4
        | hskp24 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c1_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp7 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ( c3_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp12 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ( c3_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | hskp0
        | hskp3 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ~ ( c0_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp5
        | hskp17 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | hskp22
        | hskp3 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | hskp16
        | hskp14 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | hskp12
        | hskp11 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 ) ) )
        | ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | hskp23 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | hskp21
        | hskp9 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | hskp0
        | hskp25 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 )
              | ~ ( c3_1 @ X115 ) ) )
        | hskp25
        | hskp13 )
      & ( hskp30
        | hskp8
        | hskp3 )
      & ( hskp30
        | hskp24 )
      & ( hskp15
        | hskp27
        | hskp13 )
      & ( hskp0
        | hskp29
        | hskp26 )
      & ( hskp8
        | hskp12
        | hskp14 )
      & ( hskp8
        | hskp14
        | hskp19 )
      & ( hskp12
        | hskp10
        | hskp1 )
      & ( hskp25
        | hskp2
        | hskp17 )
      & ( hskp22
        | hskp3
        | hskp17 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1427 )
        & ( c2_1 @ a1427 )
        & ~ ( c3_1 @ a1427 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a1429 )
        & ( c3_1 @ a1429 )
        & ~ ( c0_1 @ a1429 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a1430 )
        & ~ ( c0_1 @ a1430 )
        & ~ ( c2_1 @ a1430 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1431 )
        & ~ ( c0_1 @ a1431 )
        & ~ ( c2_1 @ a1431 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1434 )
        & ( c3_1 @ a1434 )
        & ~ ( c2_1 @ a1434 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a1435 )
        & ~ ( c2_1 @ a1435 )
        & ~ ( c3_1 @ a1435 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a1437 )
        & ~ ( c1_1 @ a1437 )
        & ~ ( c2_1 @ a1437 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a1438 )
        & ~ ( c0_1 @ a1438 )
        & ~ ( c1_1 @ a1438 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1441 )
        & ( c3_1 @ a1441 )
        & ~ ( c1_1 @ a1441 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c1_1 @ a1444 )
        & ~ ( c2_1 @ a1444 )
        & ~ ( c3_1 @ a1444 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a1445 )
        & ~ ( c1_1 @ a1445 )
        & ~ ( c3_1 @ a1445 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c0_1 @ a1447 )
        & ~ ( c2_1 @ a1447 )
        & ~ ( c3_1 @ a1447 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a1448 )
        & ( c3_1 @ a1448 )
        & ~ ( c2_1 @ a1448 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a1449 )
        & ( c2_1 @ a1449 )
        & ~ ( c3_1 @ a1449 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a1451 )
        & ~ ( c1_1 @ a1451 )
        & ~ ( c3_1 @ a1451 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a1452 )
        & ( c1_1 @ a1452 )
        & ~ ( c3_1 @ a1452 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a1454 )
        & ~ ( c0_1 @ a1454 )
        & ~ ( c3_1 @ a1454 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c0_1 @ a1457 )
        & ~ ( c1_1 @ a1457 )
        & ~ ( c2_1 @ a1457 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a1458 )
        & ( c1_1 @ a1458 )
        & ~ ( c2_1 @ a1458 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c0_1 @ a1460 )
        & ~ ( c1_1 @ a1460 )
        & ~ ( c3_1 @ a1460 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a1465 )
        & ( c3_1 @ a1465 )
        & ~ ( c1_1 @ a1465 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a1466 )
        & ( c2_1 @ a1466 )
        & ~ ( c1_1 @ a1466 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a1468 )
        & ( c3_1 @ a1468 )
        & ~ ( c0_1 @ a1468 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a1477 )
        & ~ ( c0_1 @ a1477 )
        & ~ ( c1_1 @ a1477 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a1487 )
        & ~ ( c1_1 @ a1487 )
        & ~ ( c2_1 @ a1487 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a1504 )
        & ( c2_1 @ a1504 )
        & ~ ( c0_1 @ a1504 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c2_1 @ a1517 )
        & ~ ( c0_1 @ a1517 )
        & ~ ( c3_1 @ a1517 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1428 )
        & ( c2_1 @ a1428 )
        & ( c3_1 @ a1428 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1456 )
        & ( c1_1 @ a1456 )
        & ( c3_1 @ a1456 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a1483 )
        & ( c2_1 @ a1483 )
        & ( c3_1 @ a1483 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a1507 )
        & ( c1_1 @ a1507 )
        & ( c2_1 @ a1507 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c0_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ~ ( c0_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Y )
            | ( c3_1 @ Y )
            | ~ ( c0_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 )
            | ~ ( c3_1 @ X1 ) ) )
      | hskp27 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | hskp3 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ( c2_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp0 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X15 )
            | ~ ( c2_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | hskp0
      | hskp4 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ( c3_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | hskp5 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X23 )
            | ~ ( c0_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | hskp5 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp2 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp0 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | hskp8
      | hskp7 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp0 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | hskp9 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | hskp10 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | hskp5
      | hskp11 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | hskp12 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | hskp13
      | hskp1 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | hskp14 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp15 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) )
      | hskp7 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c0_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp16
      | hskp7 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp28 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp17 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp18 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp3
      | hskp19 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | hskp12 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp12 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | hskp17 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | hskp7 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c0_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 ) ) )
      | hskp20 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X71 )
            | ~ ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) )
      | hskp21 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | hskp19 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp22 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) ) )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp6 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp22
      | hskp9 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp13 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | hskp0
      | hskp11 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp28 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | hskp8 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | hskp23 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp20
      | hskp11 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ( c3_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp18 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp11 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 ) ) )
      | hskp5
      | hskp29 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 ) ) )
      | hskp4
      | hskp7 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 ) ) )
      | hskp4
      | hskp24 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c1_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp7 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ( c3_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp12 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ( c3_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | hskp0
      | hskp3 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ~ ( c0_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp5
      | hskp17 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | hskp22
      | hskp3 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | hskp16
      | hskp14 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | hskp12
      | hskp11 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 ) ) )
      | ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | hskp23 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | hskp21
      | hskp9 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | hskp0
      | hskp25 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 )
            | ~ ( c3_1 @ X115 ) ) )
      | hskp25
      | hskp13 )
    & ( hskp30
      | hskp8
      | hskp3 )
    & ( hskp30
      | hskp24 )
    & ( hskp15
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp29
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp14 )
    & ( hskp8
      | hskp14
      | hskp19 )
    & ( hskp12
      | hskp10
      | hskp1 )
    & ( hskp25
      | hskp2
      | hskp17 )
    & ( hskp22
      | hskp3
      | hskp17 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a1430 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl54,plain,
    ! [X76: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp5
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl406,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a1430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( c0_1 @ a1430 )
   <= ~ ( c0_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1684,plain,
    ( ( ~ ( c3_1 @ a1430 )
      | ( c2_1 @ a1430 ) )
   <= ( ~ ( c0_1 @ a1430 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl722]) ).

thf('1',plain,
    ( ~ ( c3_1 @ a1430 )
    | ( c0_1 @ a1430 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) )
    | ( c2_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl1684]) ).

thf(zip_derived_cl43,plain,
    ! [X56: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp3
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl722_001,plain,
    ( ~ ( c0_1 @ a1430 )
   <= ~ ( c0_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1354,plain,
    ( ( ~ ( c3_1 @ a1430 )
      | ~ ( c1_1 @ a1430 ) )
   <= ( ~ ( c0_1 @ a1430 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl722]) ).

thf('2',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ~ ( c1_1 @ a1430 )
    | ( c0_1 @ a1430 )
    | ~ ( c3_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl1354]) ).

thf(zip_derived_cl62,plain,
    ! [X91: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl722_002,plain,
    ( ~ ( c0_1 @ a1430 )
   <= ~ ( c0_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1837,plain,
    ( ( ~ ( c3_1 @ a1430 )
      | ( c1_1 @ a1430 ) )
   <= ( ~ ( c0_1 @ a1430 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl722]) ).

thf('3',plain,
    ( ( c1_1 @ a1430 )
    | ~ ( c3_1 @ a1430 )
    | ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ( c0_1 @ a1430 ) ),
    inference(split,[status(esa)],[zip_derived_cl1837]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c3_1 @ a1430 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c3_1 @ a1430 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('5',plain,
    ( ~ ( c0_1 @ a1430 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl61,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c1_1 @ X90 )
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | hskp2
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c0_1 @ a1441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl672,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl29,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1130,plain,
    ( ( ( c1_1 @ a1441 )
      | ~ ( c2_1 @ a1441 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl306]) ).

thf('7',plain,
    ( ~ ( c2_1 @ a1441 )
    | ~ ( c0_1 @ a1441 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
    | ( c1_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1130]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a1456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ( c0_1 @ a1456 )
   <= ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp21
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl870,plain,
    ( ( ~ ( c1_1 @ a1456 )
      | ~ ( c2_1 @ a1456 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl234]) ).

thf('8',plain,
    ( ~ ( c2_1 @ a1456 )
    | ~ ( c1_1 @ a1456 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl870]) ).

thf(zip_derived_cl512_003,plain,
    ( ( c0_1 @ a1456 )
   <= ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl16,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp5
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl873,plain,
    ( ( ( c2_1 @ a1456 )
      | ~ ( c3_1 @ a1456 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c0_1 @ a1456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl254]) ).

thf('9',plain,
    ( ( c2_1 @ a1456 )
    | ~ ( c3_1 @ a1456 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl873]) ).

thf(zip_derived_cl406_004,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a1431 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl714,plain,
    ( ~ ( c0_1 @ a1431 )
   <= ~ ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1685,plain,
    ( ( ~ ( c3_1 @ a1431 )
      | ( c2_1 @ a1431 ) )
   <= ( ~ ( c0_1 @ a1431 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl714]) ).

thf('10',plain,
    ( ~ ( c3_1 @ a1431 )
    | ( c0_1 @ a1431 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) )
    | ( c2_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1685]) ).

thf(zip_derived_cl672_005,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,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_cl10]) ).

thf(zip_derived_cl1122,plain,
    ( ( ~ ( c1_1 @ a1441 )
      | ~ ( c3_1 @ a1441 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl230]) ).

thf('11',plain,
    ( ~ ( c1_1 @ a1441 )
    | ~ ( c3_1 @ a1441 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1122]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c0_1 @ a1458 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl592,plain,
    ( ( c0_1 @ a1458 )
   <= ( c0_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl46,plain,
    ! [X61: $i,X62: $i] :
      ( ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | ( c2_1 @ X62 )
      | ~ ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ! [X62: $i] :
        ( ( c2_1 @ X62 )
        | ~ ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c2_1 @ X62 )
        | ~ ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1258,plain,
    ( ( ( c2_1 @ a1458 )
      | ~ ( c1_1 @ a1458 ) )
   <= ( ! [X62: $i] :
          ( ( c2_1 @ X62 )
          | ~ ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c0_1 @ a1458 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl374]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a1458 )
    | ( c2_1 @ a1458 )
    | ~ ! [X62: $i] :
          ( ( c2_1 @ X62 )
          | ~ ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl52,plain,
    ! [X73: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl714_006,plain,
    ( ~ ( c0_1 @ a1431 )
   <= ~ ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1642,plain,
    ( ( ~ ( c1_1 @ a1431 )
      | ( c3_1 @ a1431 ) )
   <= ( ~ ( c0_1 @ a1431 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl714]) ).

thf('13',plain,
    ( ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ( c3_1 @ a1431 )
    | ( c0_1 @ a1431 )
    | ~ ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1642]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c1_1 @ a1434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c1_1 @ a1434 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c2_1 @ a1434 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl21,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | hskp4
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp4
    | hskp7
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl592_007,plain,
    ( ( c0_1 @ a1458 )
   <= ( c0_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl20,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ndr1_0
      | hskp4
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl949,plain,
    ( ( ( c2_1 @ a1458 )
      | ( c3_1 @ a1458 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
      & ( c0_1 @ a1458 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl270]) ).

thf('17',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c3_1 @ a1458 )
    | ~ ( c0_1 @ a1458 )
    | ( c2_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl704,plain,
    ( ( c1_1 @ a1434 )
   <= ( c1_1 @ a1434 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl19,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl266,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1168,plain,
    ( ( ( c2_1 @ a1434 )
      | ~ ( c3_1 @ a1434 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a1434 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl266]) ).

thf('18',plain,
    ( ~ ( c1_1 @ a1434 )
    | ~ ( c3_1 @ a1434 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a1434 ) ),
    inference(split,[status(esa)],[zip_derived_cl1168]) ).

thf(zip_derived_cl66,plain,
    ! [X99: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c2_1 @ X99 )
      | ~ ndr1_0
      | hskp0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl454,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a1438 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( c0_1 @ a1438 )
   <= ~ ( c0_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1929,plain,
    ( ( ~ ( c2_1 @ a1438 )
      | ( c1_1 @ a1438 ) )
   <= ( ~ ( c0_1 @ a1438 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl682]) ).

thf('19',plain,
    ( ~ ( c2_1 @ a1438 )
    | ( c0_1 @ a1438 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
    | ( c1_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl1929]) ).

thf(zip_derived_cl67,plain,
    ! [X100: $i,X101: $i,X102: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ndr1_0
      | ( c1_1 @ X101 )
      | ~ ( c2_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ( c3_1 @ X102 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
    | ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl27,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( hskp8
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c1_1 @ a1507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl498,plain,
    ( ( c1_1 @ a1507 )
   <= ( c1_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl12,plain,
    ! [X3: $i,X4: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl854,plain,
    ( ( ( c3_1 @ a1507 )
      | ~ ( c2_1 @ a1507 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl239]) ).

thf('22',plain,
    ( ( c3_1 @ a1507 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1507 )
    | ~ ( c1_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl854]) ).

thf(zip_derived_cl672_008,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl23,plain,
    ! [X17: $i,X18: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1128,plain,
    ( ( ~ ( c2_1 @ a1441 )
      | ~ ( c3_1 @ a1441 ) )
   <= ( ! [X18: $i] :
          ( ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl282]) ).

thf('23',plain,
    ( ~ ! [X18: $i] :
          ( ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c2_1 @ a1441 )
    | ~ ( c3_1 @ a1441 )
    | ~ ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1128]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a1452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl616,plain,
    ( ( c0_1 @ a1452 )
   <= ( c0_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl13,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl981,plain,
    ( ( ( c3_1 @ a1452 )
      | ~ ( c2_1 @ a1452 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl242]) ).

thf('24',plain,
    ( ~ ( c2_1 @ a1452 )
    | ~ ( c0_1 @ a1452 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl981]) ).

thf(zip_derived_cl41,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a1468 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl564,plain,
    ( ~ ( c0_1 @ a1468 )
   <= ~ ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1318,plain,
    ( ( ~ ( c3_1 @ a1468 )
      | ~ ( c2_1 @ a1468 ) )
   <= ( ~ ( c0_1 @ a1468 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl564]) ).

thf('25',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c2_1 @ a1468 )
    | ( c0_1 @ a1468 )
    | ~ ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1318]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c0_1 @ a1435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ( c0_1 @ a1435 )
   <= ( c0_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl270_009,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1161,plain,
    ( ( ( c2_1 @ a1435 )
      | ( c3_1 @ a1435 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
      & ( c0_1 @ a1435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl270]) ).

thf('26',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ~ ( c0_1 @ a1435 )
    | ( c3_1 @ a1435 )
    | ( c2_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf(zip_derived_cl45,plain,
    ! [X59: $i,X60: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | ( c2_1 @ X60 )
      | ~ ( c0_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | hskp17
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl44,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( hskp18
    | ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ( c1_1 @ a1458 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ( c1_1 @ a1458 )
   <= ( c1_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl17,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ( c3_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | hskp0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl973,plain,
    ( ( ( c2_1 @ a1458 )
      | ( c3_1 @ a1458 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c1_1 @ a1458 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl258]) ).

thf('29',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c3_1 @ a1458 )
    | ( c2_1 @ a1458 )
    | ~ ( c1_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl973]) ).

thf('30',plain,
    ( ( c0_1 @ a1458 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('31',plain,
    ( ( c1_1 @ a1458 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a1458 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ~ ( c2_1 @ a1458 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl592_010,plain,
    ( ( c0_1 @ a1458 )
   <= ( c0_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl254_011,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl948,plain,
    ( ( ( c2_1 @ a1458 )
      | ~ ( c3_1 @ a1458 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c0_1 @ a1458 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl254]) ).

thf('33',plain,
    ( ~ ( c3_1 @ a1458 )
    | ~ ( c0_1 @ a1458 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c2_1 @ a1458 ) ),
    inference(split,[status(esa)],[zip_derived_cl948]) ).

thf(zip_derived_cl18,plain,
    ! [X10: $i,X11: $i] :
      ( ( c2_1 @ X10 )
      | ( c3_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a1507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl496,plain,
    ( ( c0_1 @ a1507 )
   <= ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl230_012,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_cl10]) ).

thf(zip_derived_cl838,plain,
    ( ( ~ ( c1_1 @ a1507 )
      | ~ ( c3_1 @ a1507 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl230]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a1507 )
    | ~ ( c1_1 @ a1507 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl838]) ).

thf(zip_derived_cl496_013,plain,
    ( ( c0_1 @ a1507 )
   <= ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl282_014,plain,
    ( ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ~ ( c0_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl844,plain,
    ( ( ~ ( c2_1 @ a1507 )
      | ~ ( c3_1 @ a1507 ) )
   <= ( ! [X18: $i] :
          ( ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c0_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl282]) ).

thf('36',plain,
    ( ~ ( c3_1 @ a1507 )
    | ~ ( c2_1 @ a1507 )
    | ~ ! [X18: $i] :
          ( ~ ( c0_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl844]) ).

thf(zip_derived_cl39,plain,
    ! [X48: $i,X49: $i] :
      ( ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl347,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ~ ( c1_1 @ a1457 )
   <= ~ ( c1_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1492,plain,
    ( ( ( c3_1 @ a1457 )
      | ( c2_1 @ a1457 ) )
   <= ( ~ ( c1_1 @ a1457 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl602]) ).

thf('37',plain,
    ( ( c3_1 @ a1457 )
    | ( c2_1 @ a1457 )
    | ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c1_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf(zip_derived_cl31,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp22
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,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_cl31]) ).

thf(zip_derived_cl602_015,plain,
    ( ~ ( c1_1 @ a1457 )
   <= ~ ( c1_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1075,plain,
    ( ( ~ ( c3_1 @ a1457 )
      | ( c2_1 @ a1457 ) )
   <= ( ~ ( c1_1 @ a1457 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl602]) ).

thf('38',plain,
    ( ~ ( c3_1 @ a1457 )
    | ( c1_1 @ a1457 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c2_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1075]) ).

thf(zip_derived_cl59,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl426,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a1454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c0_1 @ a1454 )
   <= ~ ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1796,plain,
    ( ( ( c3_1 @ a1454 )
      | ( c2_1 @ a1454 ) )
   <= ( ~ ( c0_1 @ a1454 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl610]) ).

thf('39',plain,
    ( ( c2_1 @ a1454 )
    | ( c3_1 @ a1454 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl1796]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c1_1 @ a1454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl608,plain,
    ( ( c1_1 @ a1454 )
   <= ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl239_016,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl976,plain,
    ( ( ( c3_1 @ a1454 )
      | ~ ( c2_1 @ a1454 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1454 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl239]) ).

thf('40',plain,
    ( ~ ( c2_1 @ a1454 )
    | ( c3_1 @ a1454 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl976]) ).

thf(zip_derived_cl616_017,plain,
    ( ( c0_1 @ a1452 )
   <= ( c0_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl14,plain,
    ! [X6: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | hskp16
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl982,plain,
    ( ( ( c3_1 @ a1452 )
      | ~ ( c1_1 @ a1452 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c0_1 @ a1452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl246]) ).

thf('41',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1452 )
    | ~ ( c1_1 @ a1452 )
    | ( c3_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf(zip_derived_cl47,plain,
    ! [X63: $i] :
      ( ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | hskp16
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( hskp16
    | hskp7
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp25
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp13
    | hskp25
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf('44',plain,
    ( hskp7
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl314_018,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_cl31]) ).

thf(zip_derived_cl266_019,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1068,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl266]) ).

thf(zip_derived_cl1101,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1068]) ).

thf(zip_derived_cl25,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp20
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl226,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl805,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 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl226]) ).

thf(zip_derived_cl833,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl805]) ).

thf(zip_derived_cl2758,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl833]) ).

thf(zip_derived_cl2804,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2758]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ( c3_1 @ a1448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl642,plain,
    ( ( c3_1 @ a1448 )
   <= ( c3_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('45',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1448 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2804,zip_derived_cl642]) ).

thf(zip_derived_cl32,plain,
    ! [X32: $i,X33: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X33 )
      | ~ ( c1_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp6
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('47',plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | hskp7
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c1_1 @ a1431 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    ( ( c1_1 @ a1431 )
   <= ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl258_020,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1187,plain,
    ( ( ( c2_1 @ a1431 )
      | ( c3_1 @ a1431 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c1_1 @ a1431 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl258]) ).

thf('48',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c3_1 @ a1431 )
    | ( c2_1 @ a1431 )
    | ~ ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1187]) ).

thf(zip_derived_cl15,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp22
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( hskp3
    | hskp22
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl362_021,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl564_022,plain,
    ( ~ ( c0_1 @ a1468 )
   <= ~ ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1361,plain,
    ( ( ~ ( c3_1 @ a1468 )
      | ~ ( c1_1 @ a1468 ) )
   <= ( ~ ( c0_1 @ a1468 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl564]) ).

thf('50',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ~ ( c1_1 @ a1468 )
    | ( c0_1 @ a1468 )
    | ~ ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1361]) ).

thf(zip_derived_cl69,plain,
    ! [X105: $i,X106: $i,X107: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ndr1_0
      | ( c0_1 @ X106 )
      | ~ ( c1_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0
      | ( c2_1 @ X107 )
      | ~ ( c0_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl454_023,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( c0_1 @ a1477 )
   <= ~ ( c0_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1935,plain,
    ( ( ~ ( c2_1 @ a1477 )
      | ( c1_1 @ a1477 ) )
   <= ( ~ ( c0_1 @ a1477 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl554]) ).

thf('52',plain,
    ( ~ ( c2_1 @ a1477 )
    | ( c0_1 @ a1477 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c2_1 @ X99 ) )
    | ( c1_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1935]) ).

thf('53',plain,
    ( ~ ( c0_1 @ a1477 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl496_024,plain,
    ( ( c0_1 @ a1507 )
   <= ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl246_025,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl841,plain,
    ( ( ( c3_1 @ a1507 )
      | ~ ( c1_1 @ a1507 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c0_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl246]) ).

thf('54',plain,
    ( ( c3_1 @ a1507 )
    | ~ ( c1_1 @ a1507 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl841]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c1_1 @ a1449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c1_1 @ a1449 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ( c2_1 @ a1449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ( c2_1 @ a1449 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a1449 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c3_1 @ a1449 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl632,plain,
    ( ( c1_1 @ a1449 )
   <= ( c1_1 @ a1449 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl239_026,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1048,plain,
    ( ( ( c3_1 @ a1449 )
      | ~ ( c2_1 @ a1449 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1449 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl239]) ).

thf('58',plain,
    ( ~ ( c1_1 @ a1449 )
    | ~ ( c2_1 @ a1449 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ( c3_1 @ a1449 ) ),
    inference(split,[status(esa)],[zip_derived_cl1048]) ).

thf(zip_derived_cl30,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp13
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl58,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl564_027,plain,
    ( ~ ( c0_1 @ a1468 )
   <= ~ ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1746,plain,
    ( ( ~ ( c1_1 @ a1468 )
      | ( c2_1 @ a1468 ) )
   <= ( ~ ( c0_1 @ a1468 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl564]) ).

thf('60',plain,
    ( ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 ) )
    | ( c2_1 @ a1468 )
    | ( c0_1 @ a1468 )
    | ~ ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1746]) ).

thf(zip_derived_cl38,plain,
    ! [X46: $i,X47: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ndr1_0
      | ( c3_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( hskp20
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl40,plain,
    ! [X50: $i,X51: $i] :
      ( ( c1_1 @ X50 )
      | ( c2_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
    | hskp17
    | ~ ndr1_0
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c0_1 @ a1445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl656,plain,
    ( ( c0_1 @ a1445 )
   <= ( c0_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl306_028,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c2_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c2_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1121,plain,
    ( ( ( c1_1 @ a1445 )
      | ~ ( c2_1 @ a1445 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
      & ( c0_1 @ a1445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl306]) ).

thf('63',plain,
    ( ~ ( c2_1 @ a1445 )
    | ~ ( c0_1 @ a1445 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c2_1 @ X28 ) )
    | ( c1_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1121]) ).

thf(zip_derived_cl656_029,plain,
    ( ( c0_1 @ a1445 )
   <= ( c0_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl270_030,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1118,plain,
    ( ( ( c2_1 @ a1445 )
      | ( c3_1 @ a1445 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
      & ( c0_1 @ a1445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl270]) ).

thf('64',plain,
    ( ( c2_1 @ a1445 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c3_1 @ a1445 )
    | ~ ( c0_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1118]) ).

thf('65',plain,
    ( hskp4
    | hskp24
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ( c3_1 @ a1434 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c3_1 @ a1434 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl311,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_cl30]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a1444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ( ~ ( c1_1 @ a1444 )
   <= ~ ( c1_1 @ a1444 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl1011,plain,
    ( ( ~ ( c2_1 @ a1444 )
      | ( c3_1 @ a1444 ) )
   <= ( ~ ( c1_1 @ a1444 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl664]) ).

thf(zip_derived_cl3041,plain,
    ( ( c3_1 @ a1444 )
   <= ( c3_1 @ a1444 ) ),
    inference(split,[status(esa)],[zip_derived_cl1011]) ).

thf(zip_derived_cl406_031,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl254_032,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1675,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl254]) ).

thf(zip_derived_cl1708,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1675]) ).

thf(zip_derived_cl833_033,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl805]) ).

thf(zip_derived_cl2806,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1708,zip_derived_cl833]) ).

thf(zip_derived_cl2841,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf('67',plain,
    ( ~ ( c3_1 @ a1444 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3041,zip_derived_cl2841]) ).

thf(zip_derived_cl311_034,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_cl30]) ).

thf(zip_derived_cl602_035,plain,
    ( ~ ( c1_1 @ a1457 )
   <= ~ ( c1_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1014,plain,
    ( ( ~ ( c2_1 @ a1457 )
      | ( c3_1 @ a1457 ) )
   <= ( ~ ( c1_1 @ a1457 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl602]) ).

thf(zip_derived_cl3062,plain,
    ( ( c3_1 @ a1457 )
   <= ( c3_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf(zip_derived_cl2841_036,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf('68',plain,
    ( ~ ( c3_1 @ a1457 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3062,zip_derived_cl2841]) ).

thf(zip_derived_cl2841_037,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf(zip_derived_cl706,plain,
    ( ( c3_1 @ a1434 )
   <= ( c3_1 @ a1434 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('69',plain,
    ( ~ ( c3_1 @ a1434 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl706]) ).

thf(zip_derived_cl311_038,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_cl30]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ~ ( c1_1 @ a1445 )
   <= ~ ( c1_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1012,plain,
    ( ( ~ ( c2_1 @ a1445 )
      | ( c3_1 @ a1445 ) )
   <= ( ~ ( c1_1 @ a1445 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl658]) ).

thf(zip_derived_cl3053,plain,
    ( ( c3_1 @ a1445 )
   <= ( c3_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1012]) ).

thf(zip_derived_cl2841_039,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf('70',plain,
    ( ~ ( c3_1 @ a1445 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3053,zip_derived_cl2841]) ).

thf(zip_derived_cl2841_040,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ( c3_1 @ a1429 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl730,plain,
    ( ( c3_1 @ a1429 )
   <= ( c3_1 @ a1429 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('71',plain,
    ( ~ ( c3_1 @ a1429 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl730]) ).

thf(zip_derived_cl2841_041,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c3_1 @ a1487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544,plain,
    ( ( c3_1 @ a1487 )
   <= ( c3_1 @ a1487 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('72',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1487 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl544]) ).

thf(zip_derived_cl2841_042,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c3_1 @ a1438 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl680,plain,
    ( ( c3_1 @ a1438 )
   <= ( c3_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('73',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1438 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl680]) ).

thf(zip_derived_cl2841_043,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2806]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ( c3_1 @ a1468 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl562,plain,
    ( ( c3_1 @ a1468 )
   <= ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('74',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1468 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2841,zip_derived_cl562]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c1_1 @ a1468 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ( c1_1 @ a1468 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl426_044,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl714_045,plain,
    ( ~ ( c0_1 @ a1431 )
   <= ~ ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1793,plain,
    ( ( ( c3_1 @ a1431 )
      | ( c2_1 @ a1431 ) )
   <= ( ~ ( c0_1 @ a1431 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl714]) ).

thf('76',plain,
    ( ( c3_1 @ a1431 )
    | ( c2_1 @ a1431 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1793]) ).

thf(zip_derived_cl0,plain,
    ( hskp22
    | hskp3
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( hskp3
    | hskp17
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a1457 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl438_046,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c0_1 @ a1457 )
   <= ~ ( c0_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1842,plain,
    ( ( ~ ( c3_1 @ a1457 )
      | ( c1_1 @ a1457 ) )
   <= ( ~ ( c0_1 @ a1457 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl600]) ).

thf('79',plain,
    ( ~ ( c3_1 @ a1457 )
    | ( c0_1 @ a1457 )
    | ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ( c1_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1842]) ).

thf('80',plain,
    ( ~ ( c0_1 @ a1457 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1457 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a1457 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl426_047,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl600_048,plain,
    ( ~ ( c0_1 @ a1457 )
   <= ~ ( c0_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl1797,plain,
    ( ( ( c3_1 @ a1457 )
      | ( c2_1 @ a1457 ) )
   <= ( ~ ( c0_1 @ a1457 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl600]) ).

thf('82',plain,
    ( ( c3_1 @ a1457 )
    | ( c2_1 @ a1457 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c0_1 @ a1457 ) ),
    inference(split,[status(esa)],[zip_derived_cl1797]) ).

thf(zip_derived_cl712_049,plain,
    ( ( c1_1 @ a1431 )
   <= ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl266_050,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1188,plain,
    ( ( ( c2_1 @ a1431 )
      | ~ ( c3_1 @ a1431 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a1431 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl266]) ).

thf('83',plain,
    ( ~ ( c3_1 @ a1431 )
    | ~ ( c1_1 @ a1431 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1188]) ).

thf(zip_derived_cl362_051,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl714_052,plain,
    ( ~ ( c0_1 @ a1431 )
   <= ~ ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1355,plain,
    ( ( ~ ( c3_1 @ a1431 )
      | ~ ( c1_1 @ a1431 ) )
   <= ( ~ ( c0_1 @ a1431 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl714]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a1431 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ( c0_1 @ a1431 )
    | ~ ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a1444 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a1444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a1444 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a1444 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ ( c3_1 @ a1444 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('88',plain,
    ( hskp9
    | hskp22
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl347_053,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl696_054,plain,
    ( ( c0_1 @ a1435 )
   <= ( c0_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl230_055,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_cl10]) ).

thf(zip_derived_cl1156,plain,
    ( ( ~ ( c1_1 @ a1435 )
      | ~ ( c3_1 @ a1435 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl230]) ).

thf(zip_derived_cl1390,plain,
    ( ~ ( c1_1 @ a1435 )
   <= ~ ( c1_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1156]) ).

thf(zip_derived_cl1483,plain,
    ( ( ( c3_1 @ a1435 )
      | ( c2_1 @ a1435 ) )
   <= ( ~ ( c1_1 @ a1435 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl1390]) ).

thf('89',plain,
    ( ( c1_1 @ a1435 )
    | ( c2_1 @ a1435 )
    | ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c3_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1483]) ).

thf('90',plain,
    ( ( c0_1 @ a1435 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c2_1 @ a1435 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1435 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c3_1 @ a1435 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl64,plain,
    ! [X94: $i,X95: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c1_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ( c2_1 @ X95 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp5
    | ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl65,plain,
    ! [X96: $i,X97: $i,X98: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c2_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c1_1 @ X98 )
      | ( c3_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl438_056,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c1_1 @ X91 )
        | ~ ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl682_057,plain,
    ( ~ ( c0_1 @ a1438 )
   <= ~ ( c0_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1839,plain,
    ( ( ~ ( c3_1 @ a1438 )
      | ( c1_1 @ a1438 ) )
   <= ( ~ ( c0_1 @ a1438 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl682]) ).

thf('95',plain,
    ( ( c0_1 @ a1438 )
    | ( c1_1 @ a1438 )
    | ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c1_1 @ X91 )
          | ~ ( c3_1 @ X91 ) )
    | ~ ( c3_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf('96',plain,
    ( ~ ( c0_1 @ a1438 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl656_058,plain,
    ( ( c0_1 @ a1445 )
   <= ( c0_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl242_059,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1115,plain,
    ( ( ( c3_1 @ a1445 )
      | ~ ( c2_1 @ a1445 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl242]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a1445 )
    | ~ ( c0_1 @ a1445 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1115]) ).

thf(zip_derived_cl656_060,plain,
    ( ( c0_1 @ a1445 )
   <= ( c0_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl36,plain,
    ! [X42: $i,X43: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1289,plain,
    ( ( ( c1_1 @ a1445 )
      | ( c2_1 @ a1445 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a1445 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl335]) ).

thf('98',plain,
    ( ( c2_1 @ a1445 )
    | ~ ( c0_1 @ a1445 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ( c1_1 @ a1445 ) ),
    inference(split,[status(esa)],[zip_derived_cl1289]) ).

thf('99',plain,
    ( ( c0_1 @ a1445 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('100',plain,
    ( ~ ( c1_1 @ a1445 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a1445 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c3_1 @ a1445 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl2,plain,
    ( hskp12
    | hskp10
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( hskp10
    | hskp1
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c2_1 @ a1429 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c2_1 @ a1429 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('104',plain,
    ( ( c3_1 @ a1429 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1429 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c0_1 @ a1429 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl355_061,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl732,plain,
    ( ~ ( c0_1 @ a1429 )
   <= ~ ( c0_1 @ a1429 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1310,plain,
    ( ( ~ ( c3_1 @ a1429 )
      | ~ ( c2_1 @ a1429 ) )
   <= ( ~ ( c0_1 @ a1429 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl732]) ).

thf('106',plain,
    ( ~ ( c2_1 @ a1429 )
    | ( c0_1 @ a1429 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a1429 ) ),
    inference(split,[status(esa)],[zip_derived_cl1310]) ).

thf('107',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | hskp12
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('108',plain,
    ( ! [X62: $i] :
        ( ( c2_1 @ X62 )
        | ~ ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | hskp28
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl560,plain,
    ( ( c1_1 @ a1468 )
   <= ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl266_062,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl916,plain,
    ( ( ( c2_1 @ a1468 )
      | ~ ( c3_1 @ a1468 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a1468 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl266]) ).

thf('109',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a1468 )
    | ~ ( c1_1 @ a1468 )
    | ~ ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf(zip_derived_cl362_063,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl230_064,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_cl10]) ).

thf(zip_derived_cl1342,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl230]) ).

thf(zip_derived_cl1379,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1342]) ).

thf(zip_derived_cl560_065,plain,
    ( ( c1_1 @ a1468 )
   <= ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl2177,plain,
    ( ~ ( c3_1 @ a1468 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
      & ( c1_1 @ a1468 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1379,zip_derived_cl560]) ).

thf(zip_derived_cl562_066,plain,
    ( ( c3_1 @ a1468 )
   <= ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('110',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ~ ( c1_1 @ a1468 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a1468 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2177,zip_derived_cl562]) ).

thf(zip_derived_cl696_067,plain,
    ( ( c0_1 @ a1435 )
   <= ( c0_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl374_068,plain,
    ( ! [X62: $i] :
        ( ( c2_1 @ X62 )
        | ~ ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c2_1 @ X62 )
        | ~ ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1252,plain,
    ( ( ( c2_1 @ a1435 )
      | ~ ( c1_1 @ a1435 ) )
   <= ( ! [X62: $i] :
          ( ( c2_1 @ X62 )
          | ~ ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c0_1 @ a1435 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl374]) ).

thf('111',plain,
    ( ~ ( c0_1 @ a1435 )
    | ( c2_1 @ a1435 )
    | ~ ! [X62: $i] :
          ( ( c2_1 @ X62 )
          | ~ ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ~ ( c1_1 @ a1435 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl290_069,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a1438 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ~ ( c1_1 @ a1438 )
   <= ~ ( c1_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl810,plain,
    ( ( ~ ( c3_1 @ a1438 )
      | ~ ( c2_1 @ a1438 ) )
   <= ( ~ ( c1_1 @ a1438 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl684]) ).

thf('112',plain,
    ( ~ ( c2_1 @ a1438 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ( c1_1 @ a1438 )
    | ~ ( c3_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl810]) ).

thf('113',plain,
    ( ( c3_1 @ a1438 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('114',plain,
    ( ~ ( c1_1 @ a1438 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf('115',plain,
    ( hskp8
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl426_070,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ( c3_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a1447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl648,plain,
    ( ~ ( c0_1 @ a1447 )
   <= ~ ( c0_1 @ a1447 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1795,plain,
    ( ( ( c3_1 @ a1447 )
      | ( c2_1 @ a1447 ) )
   <= ( ~ ( c0_1 @ a1447 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl648]) ).

thf('116',plain,
    ( ( c0_1 @ a1447 )
    | ( c2_1 @ a1447 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ( c3_1 @ X86 ) )
    | ( c3_1 @ a1447 ) ),
    inference(split,[status(esa)],[zip_derived_cl1795]) ).

thf('117',plain,
    ( ~ ( c0_1 @ a1447 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a1447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ ( c2_1 @ a1447 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1447 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a1447 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf('120',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp11
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl496_071,plain,
    ( ( c0_1 @ a1507 )
   <= ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl242_072,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl840,plain,
    ( ( ( c3_1 @ a1507 )
      | ~ ( c2_1 @ a1507 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl242]) ).

thf('121',plain,
    ( ( c3_1 @ a1507 )
    | ~ ( c0_1 @ a1507 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl840]) ).

thf(zip_derived_cl498_073,plain,
    ( ( c1_1 @ a1507 )
   <= ( c1_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl226_074,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl853,plain,
    ( ( ~ ( c2_1 @ a1507 )
      | ~ ( c3_1 @ a1507 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl226]) ).

thf('122',plain,
    ( ~ ( c3_1 @ a1507 )
    | ~ ( c2_1 @ a1507 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl853]) ).

thf(zip_derived_cl314_075,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_cl31]) ).

thf(zip_derived_cl684_076,plain,
    ( ~ ( c1_1 @ a1438 )
   <= ~ ( c1_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1070,plain,
    ( ( ~ ( c3_1 @ a1438 )
      | ( c2_1 @ a1438 ) )
   <= ( ~ ( c1_1 @ a1438 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl684]) ).

thf('123',plain,
    ( ( c2_1 @ a1438 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1438 )
    | ~ ( c3_1 @ a1438 ) ),
    inference(split,[status(esa)],[zip_derived_cl1070]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c0_1 @ a1448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl640,plain,
    ( ( c0_1 @ a1448 )
   <= ( c0_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl335_077,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1290,plain,
    ( ( ( c1_1 @ a1448 )
      | ( c2_1 @ a1448 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a1448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl335]) ).

thf('124',plain,
    ( ( c1_1 @ a1448 )
    | ~ ( c0_1 @ a1448 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ( c2_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1290]) ).

thf(zip_derived_cl640_078,plain,
    ( ( c0_1 @ a1448 )
   <= ( c0_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl254_079,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1108,plain,
    ( ( ( c2_1 @ a1448 )
      | ~ ( c3_1 @ a1448 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c0_1 @ a1448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl254]) ).

thf('125',plain,
    ( ~ ( c0_1 @ a1448 )
    | ( c2_1 @ a1448 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1108]) ).

thf(zip_derived_cl560_080,plain,
    ( ( c1_1 @ a1468 )
   <= ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl226_081,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl913,plain,
    ( ( ~ ( c2_1 @ a1468 )
      | ~ ( c3_1 @ a1468 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1468 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl226]) ).

thf('126',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1468 )
    | ~ ( c1_1 @ a1468 )
    | ~ ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl913]) ).

thf(zip_derived_cl1976,plain,
    ( ~ ( c1_1 @ a1468 )
   <= ~ ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1361]) ).

thf(zip_derived_cl290_082,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1977,plain,
    ( ( ~ ( c2_1 @ a1468 )
      | ~ ( c3_1 @ a1468 ) )
   <= ( ~ ( c1_1 @ a1468 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1976,zip_derived_cl290]) ).

thf('127',plain,
    ( ( c1_1 @ a1468 )
    | ~ ( c2_1 @ a1468 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1977]) ).

thf('128',plain,
    ( ( c3_1 @ a1468 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('129',plain,
    ( ~ ( c0_1 @ a1468 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl34,plain,
    ! [X37: $i,X38: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl672_083,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl335_084,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1288,plain,
    ( ( ( c1_1 @ a1441 )
      | ( c2_1 @ a1441 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl335]) ).

thf('131',plain,
    ( ( c2_1 @ a1441 )
    | ( c1_1 @ a1441 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ~ ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1288]) ).

thf(zip_derived_cl672_085,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl254_086,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1126,plain,
    ( ( ( c2_1 @ a1441 )
      | ~ ( c3_1 @ a1441 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl254]) ).

thf('132',plain,
    ( ( c2_1 @ a1441 )
    | ~ ( c3_1 @ a1441 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1126]) ).

thf(zip_derived_cl290_087,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ~ ( c1_1 @ a1441 )
   <= ~ ( c1_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl811,plain,
    ( ( ~ ( c3_1 @ a1441 )
      | ~ ( c2_1 @ a1441 ) )
   <= ( ~ ( c1_1 @ a1441 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl676]) ).

thf('133',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c2_1 @ a1441 )
    | ~ ( c3_1 @ a1441 )
    | ( c1_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl811]) ).

thf(zip_derived_cl314_088,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_cl31]) ).

thf(zip_derived_cl676_089,plain,
    ( ~ ( c1_1 @ a1441 )
   <= ~ ( c1_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1071,plain,
    ( ( ~ ( c3_1 @ a1441 )
      | ( c2_1 @ a1441 ) )
   <= ( ~ ( c1_1 @ a1441 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl676]) ).

thf('134',plain,
    ( ( c2_1 @ a1441 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1441 )
    | ~ ( c3_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1071]) ).

thf('135',plain,
    ( ( c0_1 @ a1452 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl616_090,plain,
    ( ( c0_1 @ a1452 )
   <= ( c0_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl234_091,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl980,plain,
    ( ( ~ ( c1_1 @ a1452 )
      | ~ ( c2_1 @ a1452 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl234]) ).

thf('136',plain,
    ( ~ ( c2_1 @ a1452 )
    | ~ ( c0_1 @ a1452 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl980]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c1_1 @ a1452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c1_1 @ a1452 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1452 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c3_1 @ a1452 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('139',plain,
    ( hskp0
    | hskp3
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl50,plain,
    ! [X69: $i,X70: $i] :
      ( ( c0_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c0_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( hskp15
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('141',plain,
    ( ( c1_1 @ a1431 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('142',plain,
    ( ~ ( c0_1 @ a1431 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a1431 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ~ ( c2_1 @ a1431 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl423_092,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl714_093,plain,
    ( ~ ( c0_1 @ a1431 )
   <= ~ ( c0_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1740,plain,
    ( ( ~ ( c1_1 @ a1431 )
      | ( c2_1 @ a1431 ) )
   <= ( ~ ( c0_1 @ a1431 )
      & ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl714]) ).

thf('144',plain,
    ( ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 ) )
    | ( c0_1 @ a1431 )
    | ( c2_1 @ a1431 )
    | ~ ( c1_1 @ a1431 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf(zip_derived_cl51,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | ( c0_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl395,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a1504 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ~ ( c0_1 @ a1504 )
   <= ~ ( c0_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1605,plain,
    ( ( ~ ( c2_1 @ a1504 )
      | ( c3_1 @ a1504 ) )
   <= ( ~ ( c0_1 @ a1504 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl540]) ).

thf('145',plain,
    ( ( c3_1 @ a1504 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c0_1 @ a1504 )
    | ~ ( c2_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl1605]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c1_1 @ a1504 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c1_1 @ a1504 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl378,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl540_094,plain,
    ( ~ ( c0_1 @ a1504 )
   <= ~ ( c0_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1427,plain,
    ( ( ~ ( c2_1 @ a1504 )
      | ~ ( c1_1 @ a1504 ) )
   <= ( ~ ( c0_1 @ a1504 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl540]) ).

thf('147',plain,
    ( ~ ( c1_1 @ a1504 )
    | ( c0_1 @ a1504 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) )
    | ~ ( c2_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl1427]) ).

thf(zip_derived_cl355_095,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c2_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl540_096,plain,
    ( ~ ( c0_1 @ a1504 )
   <= ~ ( c0_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1320,plain,
    ( ( ~ ( c3_1 @ a1504 )
      | ~ ( c2_1 @ a1504 ) )
   <= ( ~ ( c0_1 @ a1504 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl540]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a1504 )
    | ~ ( c2_1 @ a1504 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c2_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ( c0_1 @ a1504 ) ),
    inference(split,[status(esa)],[zip_derived_cl1320]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c2_1 @ a1504 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c2_1 @ a1504 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('150',plain,
    ( ~ ( c0_1 @ a1504 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('151',plain,
    ( hskp0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('152',plain,
    ( hskp0
    | hskp25
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl395_097,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a1517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl530,plain,
    ( ~ ( c0_1 @ a1517 )
   <= ~ ( c0_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl1606,plain,
    ( ( ~ ( c2_1 @ a1517 )
      | ( c3_1 @ a1517 ) )
   <= ( ~ ( c0_1 @ a1517 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl530]) ).

thf('153',plain,
    ( ( c0_1 @ a1517 )
    | ( c3_1 @ a1517 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ~ ( c2_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf(zip_derived_cl378_098,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl530_099,plain,
    ( ~ ( c0_1 @ a1517 )
   <= ~ ( c0_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl1428,plain,
    ( ( ~ ( c2_1 @ a1517 )
      | ~ ( c1_1 @ a1517 ) )
   <= ( ~ ( c0_1 @ a1517 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl530]) ).

thf('154',plain,
    ( ~ ( c1_1 @ a1517 )
    | ( c0_1 @ a1517 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) )
    | ~ ( c2_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl1428]) ).

thf(zip_derived_cl362_100,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c1_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl530_101,plain,
    ( ~ ( c0_1 @ a1517 )
   <= ~ ( c0_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl1364,plain,
    ( ( ~ ( c3_1 @ a1517 )
      | ~ ( c1_1 @ a1517 ) )
   <= ( ~ ( c0_1 @ a1517 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c1_1 @ X56 )
          | ~ ( c3_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl530]) ).

thf(zip_derived_cl2003,plain,
    ( ~ ( c1_1 @ a1517 )
   <= ~ ( c1_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl1364]) ).

thf(zip_derived_cl311_102,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_cl30]) ).

thf(zip_derived_cl2006,plain,
    ( ( ( c3_1 @ a1517 )
      | ~ ( c2_1 @ a1517 ) )
   <= ( ~ ( c1_1 @ a1517 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2003,zip_derived_cl311]) ).

thf('155',plain,
    ( ( c1_1 @ a1517 )
    | ( c3_1 @ a1517 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a1517 ) ),
    inference(split,[status(esa)],[zip_derived_cl2006]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c2_1 @ a1517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ( c2_1 @ a1517 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('157',plain,
    ( ~ ( c0_1 @ a1517 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a1517 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ~ ( c3_1 @ a1517 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c0_1 @ a1427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ( ( c0_1 @ a1427 )
   <= ( c0_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl234_103,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1200,plain,
    ( ( ~ ( c1_1 @ a1427 )
      | ~ ( c2_1 @ a1427 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl234]) ).

thf('160',plain,
    ( ~ ( c1_1 @ a1427 )
    | ~ ( c0_1 @ a1427 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1200]) ).

thf(zip_derived_cl618,plain,
    ( ( c1_1 @ a1452 )
   <= ( c1_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl258_104,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl990,plain,
    ( ( ( c2_1 @ a1452 )
      | ( c3_1 @ a1452 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c1_1 @ a1452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl258]) ).

thf('161',plain,
    ( ( c2_1 @ a1452 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c3_1 @ a1452 )
    | ~ ( c1_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl990]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c2_1 @ a1451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ( c2_1 @ a1451 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a1451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c1_1 @ a1451 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a1451 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ~ ( c3_1 @ a1451 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl311_105,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_cl30]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( c1_1 @ a1451 )
   <= ~ ( c1_1 @ a1451 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1013,plain,
    ( ( ~ ( c2_1 @ a1451 )
      | ( c3_1 @ a1451 ) )
   <= ( ~ ( c1_1 @ a1451 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl626]) ).

thf('165',plain,
    ( ( c1_1 @ a1451 )
    | ( c3_1 @ a1451 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a1451 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf('166',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
    | hskp14
    | ~ ndr1_0
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl378_106,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl610_107,plain,
    ( ~ ( c0_1 @ a1454 )
   <= ~ ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1422,plain,
    ( ( ~ ( c2_1 @ a1454 )
      | ~ ( c1_1 @ a1454 ) )
   <= ( ~ ( c0_1 @ a1454 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl610]) ).

thf('167',plain,
    ( ~ ( c2_1 @ a1454 )
    | ( c0_1 @ a1454 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) )
    | ~ ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl1422]) ).

thf(zip_derived_cl608_108,plain,
    ( ( c1_1 @ a1454 )
   <= ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl258_109,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl977,plain,
    ( ( ( c2_1 @ a1454 )
      | ( c3_1 @ a1454 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
      & ( c1_1 @ a1454 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl258]) ).

thf('168',plain,
    ( ( c2_1 @ a1454 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 ) )
    | ( c3_1 @ a1454 )
    | ~ ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl977]) ).

thf(zip_derived_cl53,plain,
    ! [X74: $i,X75: $i] :
      ( ( c0_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 ) )
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a1448 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ~ ( c2_1 @ a1448 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl640_110,plain,
    ( ( c0_1 @ a1448 )
   <= ( c0_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl230_111,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_cl10]) ).

thf(zip_derived_cl1104,plain,
    ( ( ~ ( c1_1 @ a1448 )
      | ~ ( c3_1 @ a1448 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl230]) ).

thf(zip_derived_cl1241,plain,
    ( ~ ( c1_1 @ a1448 )
   <= ~ ( c1_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1104]) ).

thf(zip_derived_cl314_112,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_cl31]) ).

thf(zip_derived_cl1245,plain,
    ( ( ( c2_1 @ a1448 )
      | ~ ( c3_1 @ a1448 ) )
   <= ( ~ ( c1_1 @ a1448 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1241,zip_derived_cl314]) ).

thf('171',plain,
    ( ( c1_1 @ a1448 )
    | ( c2_1 @ a1448 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ( c3_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1245]) ).

thf(zip_derived_cl35,plain,
    ! [X39: $i,X40: $i,X41: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl398_113,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl610_114,plain,
    ( ~ ( c0_1 @ a1454 )
   <= ~ ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1645,plain,
    ( ( ~ ( c1_1 @ a1454 )
      | ( c3_1 @ a1454 ) )
   <= ( ~ ( c0_1 @ a1454 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl610]) ).

thf('173',plain,
    ( ( c0_1 @ a1454 )
    | ( c3_1 @ a1454 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ~ ( c1_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl1645]) ).

thf(zip_derived_cl290_115,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl556,plain,
    ( ~ ( c1_1 @ a1477 )
   <= ~ ( c1_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl819,plain,
    ( ( ~ ( c3_1 @ a1477 )
      | ~ ( c2_1 @ a1477 ) )
   <= ( ~ ( c1_1 @ a1477 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl556]) ).

thf('174',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1477 )
    | ~ ( c2_1 @ a1477 )
    | ( c1_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl819]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c2_1 @ a1477 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c2_1 @ a1477 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a1477 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl311_116,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_cl30]) ).

thf(zip_derived_cl556_117,plain,
    ( ~ ( c1_1 @ a1477 )
   <= ~ ( c1_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1018,plain,
    ( ( ~ ( c2_1 @ a1477 )
      | ( c3_1 @ a1477 ) )
   <= ( ~ ( c1_1 @ a1477 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl556]) ).

thf('177',plain,
    ( ( c3_1 @ a1477 )
    | ( c1_1 @ a1477 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a1477 ) ),
    inference(split,[status(esa)],[zip_derived_cl1018]) ).

thf('178',plain,
    ( ( c1_1 @ a1454 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('179',plain,
    ( ~ ( c0_1 @ a1454 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1454 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ ( c3_1 @ a1454 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('181',plain,
    ( hskp23
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('182',plain,
    ( hskp16
    | hskp14
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl736_118,plain,
    ( ( c0_1 @ a1427 )
   <= ( c0_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl28,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1206,plain,
    ( ( ( c1_1 @ a1427 )
      | ~ ( c3_1 @ a1427 ) )
   <= ( ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c0_1 @ a1427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl303]) ).

thf(zip_derived_cl4567,plain,
    ( ( c1_1 @ a1427 )
   <= ( c1_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1206]) ).

thf(zip_derived_cl239_119,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4592,plain,
    ( ( ( c3_1 @ a1427 )
      | ~ ( c2_1 @ a1427 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4567,zip_derived_cl239]) ).

thf('183',plain,
    ( ~ ( c1_1 @ a1427 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1427 )
    | ( c3_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl4592]) ).

thf(zip_derived_cl736_120,plain,
    ( ( c0_1 @ a1427 )
   <= ( c0_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl246_121,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1202,plain,
    ( ( ( c3_1 @ a1427 )
      | ~ ( c1_1 @ a1427 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c0_1 @ a1427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl246]) ).

thf('184',plain,
    ( ~ ( c1_1 @ a1427 )
    | ( c3_1 @ a1427 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1202]) ).

thf(zip_derived_cl736_122,plain,
    ( ( c0_1 @ a1427 )
   <= ( c0_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl230_123,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_cl10]) ).

thf(zip_derived_cl1199,plain,
    ( ( ~ ( c1_1 @ a1427 )
      | ~ ( c3_1 @ a1427 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1427 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl230]) ).

thf(zip_derived_cl1456,plain,
    ( ~ ( c1_1 @ a1427 )
   <= ~ ( c1_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1199]) ).

thf(zip_derived_cl311_124,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_cl30]) ).

thf(zip_derived_cl1459,plain,
    ( ( ( c3_1 @ a1427 )
      | ~ ( c2_1 @ a1427 ) )
   <= ( ~ ( c1_1 @ a1427 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1456,zip_derived_cl311]) ).

thf('185',plain,
    ( ( c1_1 @ a1427 )
    | ( c3_1 @ a1427 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a1427 ) ),
    inference(split,[status(esa)],[zip_derived_cl1459]) ).

thf('186',plain,
    ( ( c0_1 @ a1427 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ( c2_1 @ a1427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ( c2_1 @ a1427 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a1427 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c3_1 @ a1427 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl4,plain,
    ( hskp8
    | hskp12
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( hskp8
    | hskp14
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('190',plain,
    ( ~ ( c1_1 @ a1448 )
    | ~ ( c0_1 @ a1448 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1104]) ).

thf('191',plain,
    ( ( c0_1 @ a1448 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('192',plain,
    ( ( c3_1 @ a1448 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl640_125,plain,
    ( ( c0_1 @ a1448 )
   <= ( c0_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl303_126,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1111,plain,
    ( ( ( c1_1 @ a1448 )
      | ~ ( c3_1 @ a1448 ) )
   <= ( ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c0_1 @ a1448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl303]) ).

thf('193',plain,
    ( ( c1_1 @ a1448 )
    | ~ ( c0_1 @ a1448 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c3_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1111]) ).

thf('194',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | hskp28
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl395_127,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl610_128,plain,
    ( ~ ( c0_1 @ a1454 )
   <= ~ ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1600,plain,
    ( ( ~ ( c2_1 @ a1454 )
      | ( c3_1 @ a1454 ) )
   <= ( ~ ( c0_1 @ a1454 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl610]) ).

thf('195',plain,
    ( ~ ( c2_1 @ a1454 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c3_1 @ a1454 )
    | ( c0_1 @ a1454 ) ),
    inference(split,[status(esa)],[zip_derived_cl1600]) ).

thf('196',plain,
    ( ( c0_1 @ a1456 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c1_1 @ a1456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ( c1_1 @ a1456 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a1456 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ( c3_1 @ a1456 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl512_129,plain,
    ( ( c0_1 @ a1456 )
   <= ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl230_130,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_cl10]) ).

thf(zip_derived_cl869,plain,
    ( ( ~ ( c1_1 @ a1456 )
      | ~ ( c3_1 @ a1456 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c0_1 @ a1456 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl230]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a1456 )
    | ~ ( c3_1 @ a1456 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1456 ) ),
    inference(split,[status(esa)],[zip_derived_cl869]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c1_1 @ a1483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ( c1_1 @ a1483 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c2_1 @ a1483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ( c2_1 @ a1483 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a1483 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c3_1 @ a1483 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl504,plain,
    ( ( c1_1 @ a1483 )
   <= ( c1_1 @ a1483 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl226_131,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl857,plain,
    ( ( ~ ( c2_1 @ a1483 )
      | ~ ( c3_1 @ a1483 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1483 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl226]) ).

thf('203',plain,
    ( ~ ( c1_1 @ a1483 )
    | ~ ( c2_1 @ a1483 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1483 ) ),
    inference(split,[status(esa)],[zip_derived_cl857]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c2_1 @ a1465 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ( c2_1 @ a1465 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c3_1 @ a1465 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ( c3_1 @ a1465 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a1465 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ~ ( c1_1 @ a1465 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl290_132,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl580,plain,
    ( ~ ( c1_1 @ a1465 )
   <= ~ ( c1_1 @ a1465 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl817,plain,
    ( ( ~ ( c3_1 @ a1465 )
      | ~ ( c2_1 @ a1465 ) )
   <= ( ~ ( c1_1 @ a1465 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl580]) ).

thf('207',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c2_1 @ a1465 )
    | ( c1_1 @ a1465 )
    | ~ ( c3_1 @ a1465 ) ),
    inference(split,[status(esa)],[zip_derived_cl817]) ).

thf(zip_derived_cl347_133,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl664_134,plain,
    ( ~ ( c1_1 @ a1444 )
   <= ~ ( c1_1 @ a1444 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl1487,plain,
    ( ( ( c3_1 @ a1444 )
      | ( c2_1 @ a1444 ) )
   <= ( ~ ( c1_1 @ a1444 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl664]) ).

thf('208',plain,
    ( ( c1_1 @ a1444 )
    | ( c2_1 @ a1444 )
    | ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c3_1 @ X48 ) )
    | ( c3_1 @ a1444 ) ),
    inference(split,[status(esa)],[zip_derived_cl1487]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl92,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

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

thf('211',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl5,plain,
    ( hskp0
    | hskp29
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( hskp0
    | hskp26
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4355,plain,
    ( ( c1_1 @ a1448 )
   <= ( c1_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl1111]) ).

thf(zip_derived_cl266_135,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl4382,plain,
    ( ( ( c2_1 @ a1448 )
      | ~ ( c3_1 @ a1448 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a1448 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4355,zip_derived_cl266]) ).

thf('213',plain,
    ( ~ ( c1_1 @ a1448 )
    | ~ ( c3_1 @ a1448 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a1448 ) ),
    inference(split,[status(esa)],[zip_derived_cl4382]) ).

thf('214',plain,
    ( ( c0_1 @ a1507 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('215',plain,
    ( ( c1_1 @ a1507 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c2_1 @ a1507 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ( c2_1 @ a1507 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl496_136,plain,
    ( ( c0_1 @ a1507 )
   <= ( c0_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl234_137,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl839,plain,
    ( ( ~ ( c1_1 @ a1507 )
      | ~ ( c2_1 @ a1507 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a1507 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl234]) ).

thf('217',plain,
    ( ~ ( c0_1 @ a1507 )
    | ~ ( c1_1 @ a1507 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1507 ) ),
    inference(split,[status(esa)],[zip_derived_cl839]) ).

thf(zip_derived_cl7,plain,
    ( hskp30
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( hskp24
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('219',plain,
    ( ( c3_1 @ a1487 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ~ ( c1_1 @ a1487 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a1487 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ~ ( c2_1 @ a1487 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl314_138,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_cl31]) ).

thf(zip_derived_cl546,plain,
    ( ~ ( c1_1 @ a1487 )
   <= ~ ( c1_1 @ a1487 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1080,plain,
    ( ( ~ ( c3_1 @ a1487 )
      | ( c2_1 @ a1487 ) )
   <= ( ~ ( c1_1 @ a1487 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl546]) ).

thf('222',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1487 )
    | ( c2_1 @ a1487 )
    | ~ ( c3_1 @ a1487 ) ),
    inference(split,[status(esa)],[zip_derived_cl1080]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c0_1 @ a1437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ( c0_1 @ a1437 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a1437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ~ ( c1_1 @ a1437 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a1437 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ ( c2_1 @ a1437 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl688,plain,
    ( ( c0_1 @ a1437 )
   <= ( c0_1 @ a1437 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl335_139,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( c1_1 @ a1437 )
      | ( c2_1 @ a1437 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
      & ( c0_1 @ a1437 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl335]) ).

thf('226',plain,
    ( ~ ( c0_1 @ a1437 )
    | ( c1_1 @ a1437 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ( c2_1 @ a1437 ) ),
    inference(split,[status(esa)],[zip_derived_cl1287]) ).

thf('227',plain,
    ( ( c0_1 @ a1441 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ( c3_1 @ a1441 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ( c3_1 @ a1441 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('229',plain,
    ( ~ ( c1_1 @ a1441 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl672_140,plain,
    ( ( c0_1 @ a1441 )
   <= ( c0_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl303_141,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1129,plain,
    ( ( ( c1_1 @ a1441 )
      | ~ ( c3_1 @ a1441 ) )
   <= ( ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c0_1 @ a1441 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl303]) ).

thf('230',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c0_1 @ a1441 )
    | ~ ( c3_1 @ a1441 )
    | ( c1_1 @ a1441 ) ),
    inference(split,[status(esa)],[zip_derived_cl1129]) ).

thf(zip_derived_cl56,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c1_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ndr1_0
      | ( c1_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl406_142,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl564_143,plain,
    ( ~ ( c0_1 @ a1468 )
   <= ~ ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1691,plain,
    ( ( ~ ( c3_1 @ a1468 )
      | ( c2_1 @ a1468 ) )
   <= ( ~ ( c0_1 @ a1468 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl564]) ).

thf('232',plain,
    ( ( c2_1 @ a1468 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) )
    | ~ ( c3_1 @ a1468 )
    | ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1691]) ).

thf(zip_derived_cl378_144,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl564_145,plain,
    ( ~ ( c0_1 @ a1468 )
   <= ~ ( c0_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1425,plain,
    ( ( ~ ( c2_1 @ a1468 )
      | ~ ( c1_1 @ a1468 ) )
   <= ( ~ ( c0_1 @ a1468 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl564]) ).

thf('233',plain,
    ( ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ~ ( c1_1 @ X63 )
          | ~ ( c2_1 @ X63 ) )
    | ~ ( c2_1 @ a1468 )
    | ( c0_1 @ a1468 )
    | ~ ( c1_1 @ a1468 ) ),
    inference(split,[status(esa)],[zip_derived_cl1425]) ).

thf(zip_derived_cl48,plain,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( c0_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ( c2_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c0_1 @ X66 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ~ ( c1_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl616_146,plain,
    ( ( c0_1 @ a1452 )
   <= ( c0_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl270_147,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl984,plain,
    ( ( ( c2_1 @ a1452 )
      | ( c3_1 @ a1452 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
      & ( c0_1 @ a1452 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl270]) ).

thf('235',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c2_1 @ a1452 )
    | ( c3_1 @ a1452 )
    | ~ ( c0_1 @ a1452 ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf(zip_derived_cl6842,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN479+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.99i5bb1Z4R true
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 20:22:40 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.23/1.58  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.23/1.58  % Solved by fo/fo1_av.sh.
% 5.23/1.58  % done 1958 iterations in 0.705s
% 5.23/1.58  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.23/1.58  % SZS output start Refutation
% See solution above
% 5.23/1.59  
% 5.23/1.59  
% 6.62/1.59  % Terminating...
% 6.98/1.68  % Runner terminated.
% 6.98/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------