TSTP Solution File: SYN480+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN480+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lbr1Z6tRlX true

% Computer : n003.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 04:03:58 EDT 2023

% Result   : Theorem 7.73s 1.73s
% Output   : Refutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  663 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 4360 (   0 equ;   0 cnn)
%            Maximal formula atoms :  765 (   7 avg)
%            Number of connectives : 9478 (2338   ~;2714   |; 527   &;3374   @)
%                                         (   0 <=>; 252  =>; 273  <=;   0 <~>)
%            Maximal formula depth :  111 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  803 (   0   ^; 803   !;   0   ?; 803   :)

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

thf(a1536_type,type,
    a1536: $i ).

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

thf(a1546_type,type,
    a1546: $i ).

thf(a1553_type,type,
    a1553: $i ).

thf(a1593_type,type,
    a1593: $i ).

thf(a1542_type,type,
    a1542: $i ).

thf(a1566_type,type,
    a1566: $i ).

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

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

thf(a1533_type,type,
    a1533: $i ).

thf(hskp31_type,type,
    hskp31: $o ).

thf(a1543_type,type,
    a1543: $i ).

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

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

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

thf(a1534_type,type,
    a1534: $i ).

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

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

thf(a1538_type,type,
    a1538: $i ).

thf(a1573_type,type,
    a1573: $i ).

thf(a1581_type,type,
    a1581: $i ).

thf(a1544_type,type,
    a1544: $i ).

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

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

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

thf(a1549_type,type,
    a1549: $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(a1562_type,type,
    a1562: $i ).

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

thf(a1548_type,type,
    a1548: $i ).

thf(a1554_type,type,
    a1554: $i ).

thf(a1572_type,type,
    a1572: $i ).

thf(a1575_type,type,
    a1575: $i ).

thf(a1624_type,type,
    a1624: $i ).

thf(a1570_type,type,
    a1570: $i ).

thf(a1565_type,type,
    a1565: $i ).

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

thf(a1574_type,type,
    a1574: $i ).

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

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

thf(a1545_type,type,
    a1545: $i ).

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

thf(a1612_type,type,
    a1612: $i ).

thf(a1547_type,type,
    a1547: $i ).

thf(a1556_type,type,
    a1556: $i ).

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

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

thf(a1558_type,type,
    a1558: $i ).

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

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

thf(a1539_type,type,
    a1539: $i ).

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

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

thf(a1600_type,type,
    a1600: $i ).

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

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

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

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

thf(a1535_type,type,
    a1535: $i ).

thf(a1632_type,type,
    a1632: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a1533 )
          & ~ ( c0_1 @ a1533 )
          & ~ ( c3_1 @ a1533 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a1534 )
          & ( c2_1 @ a1534 )
          & ~ ( c3_1 @ a1534 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a1535 )
          & ~ ( c1_1 @ a1535 )
          & ~ ( c2_1 @ a1535 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1536 )
          & ~ ( c0_1 @ a1536 )
          & ~ ( c2_1 @ a1536 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c1_1 @ a1538 )
          & ~ ( c2_1 @ a1538 )
          & ~ ( c3_1 @ a1538 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a1539 )
          & ( c3_1 @ a1539 )
          & ~ ( c0_1 @ a1539 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a1543 )
          & ~ ( c1_1 @ a1543 )
          & ~ ( c2_1 @ a1543 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a1545 )
          & ~ ( c0_1 @ a1545 )
          & ~ ( c3_1 @ a1545 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1547 )
          & ( c1_1 @ a1547 )
          & ~ ( c3_1 @ a1547 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a1548 )
          & ~ ( c1_1 @ a1548 )
          & ~ ( c3_1 @ a1548 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a1549 )
          & ( c3_1 @ a1549 )
          & ~ ( c1_1 @ a1549 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a1553 )
          & ( c2_1 @ a1553 )
          & ~ ( c1_1 @ a1553 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a1554 )
          & ( c2_1 @ a1554 )
          & ~ ( c0_1 @ a1554 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a1556 )
          & ( c2_1 @ a1556 )
          & ~ ( c3_1 @ a1556 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a1558 )
          & ( c1_1 @ a1558 )
          & ~ ( c2_1 @ a1558 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c1_1 @ a1565 )
          & ~ ( c2_1 @ a1565 )
          & ~ ( c3_1 @ a1565 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a1566 )
          & ( c3_1 @ a1566 )
          & ~ ( c1_1 @ a1566 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a1570 )
          & ~ ( c0_1 @ a1570 )
          & ~ ( c1_1 @ a1570 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c2_1 @ a1572 )
          & ( c3_1 @ a1572 )
          & ~ ( c0_1 @ a1572 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a1573 )
          & ~ ( c1_1 @ a1573 )
          & ~ ( c3_1 @ a1573 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a1574 )
          & ( c3_1 @ a1574 )
          & ~ ( c2_1 @ a1574 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a1575 )
          & ~ ( c0_1 @ a1575 )
          & ~ ( c1_1 @ a1575 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a1581 )
          & ~ ( c1_1 @ a1581 )
          & ~ ( c3_1 @ a1581 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a1593 )
          & ( c3_1 @ a1593 )
          & ~ ( c2_1 @ a1593 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a1600 )
          & ~ ( c2_1 @ a1600 )
          & ~ ( c3_1 @ a1600 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c3_1 @ a1612 )
          & ~ ( c0_1 @ a1612 )
          & ~ ( c2_1 @ a1612 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c0_1 @ a1624 )
          & ~ ( c2_1 @ a1624 )
          & ~ ( c3_1 @ a1624 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c0_1 @ a1632 )
          & ~ ( c1_1 @ a1632 )
          & ~ ( c2_1 @ a1632 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a1542 )
          & ( c2_1 @ a1542 )
          & ( c3_1 @ a1542 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a1544 )
          & ( c1_1 @ a1544 )
          & ( c2_1 @ a1544 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a1546 )
          & ( c1_1 @ a1546 )
          & ( c3_1 @ a1546 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a1562 )
          & ( c2_1 @ a1562 )
          & ( c3_1 @ a1562 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp3
        | hskp0 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ~ ( c2_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) )
        | hskp4 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp5 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp3 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X9 )
              | ( c2_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | hskp4 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ~ ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | hskp28 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ( c2_1 @ X16 )
              | ~ ( c0_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ~ ( c0_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X20 )
              | ~ ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) ) )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | hskp6 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c0_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp29 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ( c3_1 @ X29 )
              | ~ ( c0_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c0_1 @ X30 ) ) ) )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X32 )
              | ~ ( c0_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | hskp7 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ( c3_1 @ X33 ) ) )
        | hskp30
        | hskp8 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c1_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) )
        | hskp9 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | hskp10
        | hskp4 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) )
        | hskp3 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp4 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp11 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp12
        | hskp3 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp13 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | hskp2 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | hskp14 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | hskp10 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | hskp14
        | hskp5 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | hskp31 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp1
        | hskp28 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) ) )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ( c3_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp15 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c1_1 @ X68 ) ) )
        | hskp16 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | hskp11
        | hskp1 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp6 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) ) )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp17 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | hskp8
        | hskp18 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | hskp19 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp20 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | hskp21 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) ) )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | hskp1 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp14
        | hskp1 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp10
        | hskp6 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp22 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp14 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 ) ) )
        | hskp21 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp30
        | hskp13 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp15 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp19 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp31
        | hskp3 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X103 )
              | ~ ( c2_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp19
        | hskp3 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 ) ) )
        | hskp8
        | hskp23 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c0_1 @ X105 ) ) )
        | hskp19
        | hskp13 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ( c3_1 @ X106 )
              | ~ ( c0_1 @ X106 ) ) )
        | hskp28
        | hskp15 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ( c3_1 @ X107 )
              | ~ ( c1_1 @ X107 ) ) )
        | ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp15 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X109 )
              | ( c3_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | hskp19
        | hskp24 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X110 )
              | ~ ( c1_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | ! [X111: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X111 )
              | ~ ( c1_1 @ X111 )
              | ~ ( c2_1 @ X111 ) ) )
        | ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) ) )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | ! [X114: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | hskp5 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X115 )
              | ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 ) ) )
        | ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | hskp23 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X117 )
              | ~ ( c0_1 @ X117 )
              | ~ ( c1_1 @ X117 ) ) )
        | hskp20
        | hskp21 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 ) ) )
        | hskp31
        | hskp7 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X119 )
              | ~ ( c1_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | hskp10 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) )
        | hskp14
        | hskp22 )
      & ( hskp29
        | hskp19
        | hskp25 )
      & ( hskp14
        | hskp1
        | hskp4 )
      & ( hskp14
        | hskp20
        | hskp15 )
      & ( hskp31
        | hskp15
        | hskp7 )
      & ( hskp1
        | hskp15
        | hskp26 )
      & ( hskp10
        | hskp12
        | hskp3 )
      & ( hskp23
        | hskp3
        | hskp26 )
      & ( hskp5
        | hskp27
        | hskp9 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a1533 )
        & ~ ( c0_1 @ a1533 )
        & ~ ( c3_1 @ a1533 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a1534 )
        & ( c2_1 @ a1534 )
        & ~ ( c3_1 @ a1534 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a1535 )
        & ~ ( c1_1 @ a1535 )
        & ~ ( c2_1 @ a1535 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1536 )
        & ~ ( c0_1 @ a1536 )
        & ~ ( c2_1 @ a1536 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c1_1 @ a1538 )
        & ~ ( c2_1 @ a1538 )
        & ~ ( c3_1 @ a1538 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a1539 )
        & ( c3_1 @ a1539 )
        & ~ ( c0_1 @ a1539 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a1543 )
        & ~ ( c1_1 @ a1543 )
        & ~ ( c2_1 @ a1543 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a1545 )
        & ~ ( c0_1 @ a1545 )
        & ~ ( c3_1 @ a1545 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1547 )
        & ( c1_1 @ a1547 )
        & ~ ( c3_1 @ a1547 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a1548 )
        & ~ ( c1_1 @ a1548 )
        & ~ ( c3_1 @ a1548 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a1549 )
        & ( c3_1 @ a1549 )
        & ~ ( c1_1 @ a1549 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a1553 )
        & ( c2_1 @ a1553 )
        & ~ ( c1_1 @ a1553 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a1554 )
        & ( c2_1 @ a1554 )
        & ~ ( c0_1 @ a1554 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a1556 )
        & ( c2_1 @ a1556 )
        & ~ ( c3_1 @ a1556 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a1558 )
        & ( c1_1 @ a1558 )
        & ~ ( c2_1 @ a1558 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c1_1 @ a1565 )
        & ~ ( c2_1 @ a1565 )
        & ~ ( c3_1 @ a1565 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a1566 )
        & ( c3_1 @ a1566 )
        & ~ ( c1_1 @ a1566 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a1570 )
        & ~ ( c0_1 @ a1570 )
        & ~ ( c1_1 @ a1570 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c2_1 @ a1572 )
        & ( c3_1 @ a1572 )
        & ~ ( c0_1 @ a1572 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a1573 )
        & ~ ( c1_1 @ a1573 )
        & ~ ( c3_1 @ a1573 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a1574 )
        & ( c3_1 @ a1574 )
        & ~ ( c2_1 @ a1574 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a1575 )
        & ~ ( c0_1 @ a1575 )
        & ~ ( c1_1 @ a1575 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a1581 )
        & ~ ( c1_1 @ a1581 )
        & ~ ( c3_1 @ a1581 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a1593 )
        & ( c3_1 @ a1593 )
        & ~ ( c2_1 @ a1593 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a1600 )
        & ~ ( c2_1 @ a1600 )
        & ~ ( c3_1 @ a1600 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c3_1 @ a1612 )
        & ~ ( c0_1 @ a1612 )
        & ~ ( c2_1 @ a1612 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c0_1 @ a1624 )
        & ~ ( c2_1 @ a1624 )
        & ~ ( c3_1 @ a1624 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c0_1 @ a1632 )
        & ~ ( c1_1 @ a1632 )
        & ~ ( c2_1 @ a1632 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a1542 )
        & ( c2_1 @ a1542 )
        & ( c3_1 @ a1542 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a1544 )
        & ( c1_1 @ a1544 )
        & ( c2_1 @ a1544 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a1546 )
        & ( c1_1 @ a1546 )
        & ( c3_1 @ a1546 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a1562 )
        & ( c2_1 @ a1562 )
        & ( c3_1 @ a1562 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp3
      | hskp0 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ~ ( c2_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) )
      | hskp4 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp5 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp3 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X9 )
            | ( c2_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | hskp4 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ~ ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | hskp28 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ( c2_1 @ X16 )
            | ~ ( c0_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ~ ( c0_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X20 )
            | ~ ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) ) )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | hskp6 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c0_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp29 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ( c3_1 @ X29 )
            | ~ ( c0_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c0_1 @ X30 ) ) ) )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X32 )
            | ~ ( c0_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | hskp7 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ( c3_1 @ X33 ) ) )
      | hskp30
      | hskp8 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c1_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) )
      | hskp9 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | hskp10
      | hskp4 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) )
      | hskp3 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp4 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp11 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp12
      | hskp3 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp13 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | hskp2 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | hskp14 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | hskp10 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | hskp14
      | hskp5 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | hskp31 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp1
      | hskp28 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) ) )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ( c3_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp15 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c1_1 @ X68 ) ) )
      | hskp16 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | hskp11
      | hskp1 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp6 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) ) )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp17 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | hskp8
      | hskp18 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | hskp19 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp20 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | hskp21 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) ) )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | hskp1 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp14
      | hskp1 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp10
      | hskp6 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp22 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp14 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 ) ) )
      | hskp21 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp30
      | hskp13 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp15 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp19 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp31
      | hskp3 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X103 )
            | ~ ( c2_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp19
      | hskp3 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 ) ) )
      | hskp8
      | hskp23 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c0_1 @ X105 ) ) )
      | hskp19
      | hskp13 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ( c3_1 @ X106 )
            | ~ ( c0_1 @ X106 ) ) )
      | hskp28
      | hskp15 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ( c3_1 @ X107 )
            | ~ ( c1_1 @ X107 ) ) )
      | ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp15 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X109 )
            | ( c3_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | hskp19
      | hskp24 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X110 )
            | ~ ( c1_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | ! [X111: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X111 )
            | ~ ( c1_1 @ X111 )
            | ~ ( c2_1 @ X111 ) ) )
      | ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) ) )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | ! [X114: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | hskp5 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X115 )
            | ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 ) ) )
      | ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | hskp23 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X117 )
            | ~ ( c0_1 @ X117 )
            | ~ ( c1_1 @ X117 ) ) )
      | hskp20
      | hskp21 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 ) ) )
      | hskp31
      | hskp7 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X119 )
            | ~ ( c1_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | hskp10 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) )
      | hskp14
      | hskp22 )
    & ( hskp29
      | hskp19
      | hskp25 )
    & ( hskp14
      | hskp1
      | hskp4 )
    & ( hskp14
      | hskp20
      | hskp15 )
    & ( hskp31
      | hskp15
      | hskp7 )
    & ( hskp1
      | hskp15
      | hskp26 )
    & ( hskp10
      | hskp12
      | hskp3 )
    & ( hskp23
      | hskp3
      | hskp26 )
    & ( hskp5
      | hskp27
      | hskp9 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c3_1 @ a1535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( c3_1 @ a1535 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a1535 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a1542 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c3_1 @ a1542 )
   <= ( c3_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,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_cl9]) ).

thf(zip_derived_cl1391,plain,
    ( ( ~ ( c0_1 @ a1542 )
      | ~ ( c1_1 @ a1542 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1542 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl232]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a1542 )
    | ~ ( c3_1 @ a1542 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1391]) ).

thf('3',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl44,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ! [X44: $i] :
        ( ( c1_1 @ X44 )
        | ( c3_1 @ X44 )
        | ~ ( c0_1 @ X44 ) )
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0
    | hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl529_001,plain,
    ( ( c3_1 @ a1542 )
   <= ( c3_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl42,plain,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | ( c1_1 @ X57 )
      | ( c2_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1804,plain,
    ( ( ( c0_1 @ a1542 )
      | ~ ( c2_1 @ a1542 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
      & ( c3_1 @ a1542 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl365]) ).

thf('5',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ( c0_1 @ a1542 )
    | ~ ( c3_1 @ a1542 )
    | ~ ( c2_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1804]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c1_1 @ a1542 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c1_1 @ a1542 )
   <= ( c1_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp31
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl235,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_cl10]) ).

thf(zip_derived_cl1378,plain,
    ( ( ~ ( c0_1 @ a1542 )
      | ~ ( c2_1 @ a1542 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1542 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl235]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a1542 )
    | ~ ( c1_1 @ a1542 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1378]) ).

thf(zip_derived_cl32,plain,
    ! [X37: $i,X38: $i] :
      ( ( c1_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) )
    | hskp21
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp18
    | ( c3_1 @ a1572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ( c3_1 @ a1572 )
   <= ( c3_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,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_cl8]) ).

thf(zip_derived_cl1491,plain,
    ( ( ~ ( c1_1 @ a1572 )
      | ~ ( c2_1 @ a1572 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl228]) ).

thf('8',plain,
    ( ~ ( c3_1 @ a1572 )
    | ~ ( c1_1 @ a1572 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl1491]) ).

thf(zip_derived_cl35,plain,
    ! [X43: $i] :
      ( ( c1_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0
      | hskp8
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a1534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl745,plain,
    ( ~ ( c3_1 @ a1534 )
   <= ~ ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1462,plain,
    ( ( ~ ( c2_1 @ a1534 )
      | ( c1_1 @ a1534 ) )
   <= ( ~ ( c3_1 @ a1534 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl745]) ).

thf('9',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) )
    | ( c1_1 @ a1534 )
    | ( c3_1 @ a1534 )
    | ~ ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl1462]) ).

thf(zip_derived_cl33,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | hskp20
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ( c3_1 @ a1574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ( c3_1 @ a1574 )
   <= ( c3_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl13,plain,
    ! [X6: $i,X7: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1439,plain,
    ( ( ( c2_1 @ a1574 )
      | ~ ( c1_1 @ a1574 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl248]) ).

thf('11',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a1574 )
    | ( c2_1 @ a1574 )
    | ~ ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp18
    | ( c2_1 @ a1572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ( c2_1 @ a1572 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('13',plain,
    ( ~ hskp18
    | ( c3_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a1572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl607_002,plain,
    ( ( c3_1 @ a1572 )
   <= ( c3_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl365_003,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1800,plain,
    ( ( ( c0_1 @ a1572 )
      | ~ ( c2_1 @ a1572 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
      & ( c3_1 @ a1572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl365]) ).

thf('15',plain,
    ( ~ ( c3_1 @ a1572 )
    | ( c0_1 @ a1572 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ~ ( c3_1 @ X56 ) )
    | ~ ( c2_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl1800]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp23
    | ( c3_1 @ a1593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c3_1 @ a1593 )
   <= ( c3_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl24,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp30
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl291,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1417,plain,
    ( ( ( c1_1 @ a1593 )
      | ~ ( c0_1 @ a1593 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl291]) ).

thf('16',plain,
    ( ( c1_1 @ a1593 )
    | ~ ( c3_1 @ a1593 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1417]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ( c2_1 @ a1581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ( c2_1 @ a1581 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a1581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ~ ( c1_1 @ a1581 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a1581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ~ ( c3_1 @ a1581 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl335_004,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl577,plain,
    ( ~ ( c3_1 @ a1581 )
   <= ~ ( c3_1 @ a1581 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1470,plain,
    ( ( ~ ( c2_1 @ a1581 )
      | ( c1_1 @ a1581 ) )
   <= ( ~ ( c3_1 @ a1581 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl577]) ).

thf('20',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) )
    | ( c1_1 @ a1581 )
    | ( c3_1 @ a1581 )
    | ~ ( c2_1 @ a1581 ) ),
    inference(split,[status(esa)],[zip_derived_cl1470]) ).

thf('21',plain,
    ( hskp8
    | hskp18
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl27,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | ( c2_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( hskp22
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl50,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | ( c2_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ~ ( c3_1 @ a1565 )
   <= ~ ( c3_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1988,plain,
    ( ( ~ ( c1_1 @ a1565 )
      | ( c0_1 @ a1565 ) )
   <= ( ~ ( c3_1 @ a1565 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl633]) ).

thf('23',plain,
    ( ( c0_1 @ a1565 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ( c3_1 @ a1565 )
    | ~ ( c1_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl1988]) ).

thf(zip_derived_cl567_005,plain,
    ( ( c3_1 @ a1593 )
   <= ( c3_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl23,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl287,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1416,plain,
    ( ( ( c2_1 @ a1593 )
      | ~ ( c0_1 @ a1593 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c3_1 @ a1593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl287]) ).

thf('24',plain,
    ( ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a1593 )
    | ~ ( c0_1 @ a1593 )
    | ( c2_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1416]) ).

thf(zip_derived_cl633_006,plain,
    ( ~ ( c3_1 @ a1565 )
   <= ~ ( c3_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl11,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl852,plain,
    ( ( ~ ( c0_1 @ a1565 )
      | ~ ( c1_1 @ a1565 ) )
   <= ( ~ ( c3_1 @ a1565 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl239]) ).

thf('25',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a1565 )
    | ~ ( c1_1 @ a1565 )
    | ( c3_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl852]) ).

thf(zip_derived_cl19,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( hskp8
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ~ ndr1_0
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('27',plain,
    ( hskp13
    | ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c1_1 @ a1554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ( c1_1 @ a1554 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ( c2_1 @ a1554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ( c2_1 @ a1554 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1554 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl653,plain,
    ( ( c1_1 @ a1554 )
   <= ( c1_1 @ a1554 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl45,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | hskp14
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl375,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1853,plain,
    ( ( ( c0_1 @ a1554 )
      | ~ ( c2_1 @ a1554 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
      & ( c1_1 @ a1554 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl653,zip_derived_cl375]) ).

thf('31',plain,
    ( ( c0_1 @ a1554 )
    | ~ ( c2_1 @ a1554 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
    | ~ ( c1_1 @ a1554 ) ),
    inference(split,[status(esa)],[zip_derived_cl1853]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a1556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ~ ( c3_1 @ a1556 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl649,plain,
    ( ~ ( c3_1 @ a1556 )
   <= ~ ( c3_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl239_007,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl865,plain,
    ( ( ~ ( c0_1 @ a1556 )
      | ~ ( c1_1 @ a1556 ) )
   <= ( ~ ( c3_1 @ a1556 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl649,zip_derived_cl239]) ).

thf('33',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a1556 )
    | ( c3_1 @ a1556 )
    | ~ ( c1_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl865]) ).

thf(zip_derived_cl7,plain,
    ( hskp29
    | hskp19
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp25
    | hskp19
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c0_1 @ a1573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( c0_1 @ a1573 )
   <= ( c0_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl239_008,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl228_009,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_cl8]) ).

thf(zip_derived_cl781,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl228]) ).

thf(zip_derived_cl783,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl781]) ).

thf(zip_derived_cl28,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | hskp10
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1236,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl783,zip_derived_cl307]) ).

thf(zip_derived_cl1260,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1236]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( c3_1 @ a1573 )
   <= ~ ( c3_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl15,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp19
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl838,plain,
    ( ( ( c2_1 @ a1573 )
      | ~ ( c1_1 @ a1573 ) )
   <= ( ~ ( c3_1 @ a1573 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl601,zip_derived_cl255]) ).

thf(zip_derived_cl926,plain,
    ( ( c2_1 @ a1573 )
   <= ( c2_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl838]) ).

thf(zip_derived_cl1278,plain,
    ( ~ ( c0_1 @ a1573 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1573 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl926]) ).

thf('35',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a1573 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a1573 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl1278]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl591_010,plain,
    ( ( c3_1 @ a1574 )
   <= ( c3_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl232_011,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_cl9]) ).

thf(zip_derived_cl1438,plain,
    ( ( ~ ( c0_1 @ a1574 )
      | ~ ( c1_1 @ a1574 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl232]) ).

thf('37',plain,
    ( ~ ( c0_1 @ a1574 )
    | ~ ( c3_1 @ a1574 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1438]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ( c1_1 @ a1558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ( c1_1 @ a1558 )
   <= ( c1_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl239_012,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl232_013,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_cl9]) ).

thf(zip_derived_cl782,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl232]) ).

thf(zip_derived_cl784,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl782]) ).

thf(zip_derived_cl1529,plain,
    ( ~ ( c0_1 @ a1558 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ( c1_1 @ a1558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl784]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c0_1 @ a1558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl637,plain,
    ( ( c0_1 @ a1558 )
   <= ( c0_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('38',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a1558 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1558 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl637]) ).

thf('39',plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp5
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp31
    | ( c2_1 @ a1562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ( c2_1 @ a1562 )
   <= ( c2_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl1260_014,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1236]) ).

thf(zip_derived_cl1330,plain,
    ( ~ ( c0_1 @ a1562 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl1260]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp31
    | ( c0_1 @ a1562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501,plain,
    ( ( c0_1 @ a1562 )
   <= ( c0_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('41',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a1562 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a1562 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl501]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp1
    | ( c2_1 @ a1534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl743,plain,
    ( ( c2_1 @ a1534 )
   <= ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl1260_015,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1236]) ).

thf(zip_derived_cl1705,plain,
    ( ~ ( c0_1 @ a1534 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1534 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl743,zip_derived_cl1260]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp1
    | ( c0_1 @ a1534 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl741,plain,
    ( ( c0_1 @ a1534 )
   <= ( c0_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('42',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a1534 )
    | ~ ( c0_1 @ a1534 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1705,zip_derived_cl741]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c0_1 @ a1544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ( c0_1 @ a1544 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c2_1 @ a1544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ( c2_1 @ a1544 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl521,plain,
    ( ( c2_1 @ a1544 )
   <= ( c2_1 @ a1544 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1260_016,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1236]) ).

thf(zip_derived_cl1370,plain,
    ( ~ ( c0_1 @ a1544 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1544 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl1260]) ).

thf(zip_derived_cl517,plain,
    ( ( c0_1 @ a1544 )
   <= ( c0_1 @ a1544 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('45',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c2_1 @ a1544 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1544 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl517]) ).

thf(zip_derived_cl49,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c0_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ~ ( c3_1 @ X56 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c0_1 @ a1547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a1547 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ( c1_1 @ a1547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c1_1 @ a1547 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c3_1 @ a1547 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl689,plain,
    ( ~ ( c3_1 @ a1547 )
   <= ~ ( c3_1 @ a1547 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl239_017,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl902,plain,
    ( ( ~ ( c0_1 @ a1547 )
      | ~ ( c1_1 @ a1547 ) )
   <= ( ~ ( c3_1 @ a1547 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl689,zip_derived_cl239]) ).

thf('50',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ( c3_1 @ a1547 )
    | ~ ( c0_1 @ a1547 )
    | ~ ( c1_1 @ a1547 ) ),
    inference(split,[status(esa)],[zip_derived_cl902]) ).

thf(zip_derived_cl2798,plain,
    ( ~ ( c1_1 @ a1572 )
   <= ~ ( c1_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl1491]) ).

thf(zip_derived_cl67,plain,
    ! [X109: $i,X110: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c2_1 @ X110 )
      | ~ ( c1_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl464,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl2802,plain,
    ( ( ( c0_1 @ a1572 )
      | ~ ( c2_1 @ a1572 ) )
   <= ( ~ ( c1_1 @ a1572 )
      & ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2798,zip_derived_cl464]) ).

thf('51',plain,
    ( ( c0_1 @ a1572 )
    | ( c1_1 @ a1572 )
    | ~ ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
    | ~ ( c2_1 @ a1572 ) ),
    inference(split,[status(esa)],[zip_derived_cl2802]) ).

thf(zip_derived_cl36,plain,
    ! [X44: $i,X45: $i] :
      ( ( c1_1 @ X44 )
      | ( c3_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ndr1_0
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ( ! [X44: $i] :
        ( ( c1_1 @ X44 )
        | ( c3_1 @ X44 )
        | ~ ( c0_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ( c1_1 @ X44 )
        | ( c3_1 @ X44 )
        | ~ ( c0_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl745_018,plain,
    ( ~ ( c3_1 @ a1534 )
   <= ~ ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1568,plain,
    ( ( ~ ( c0_1 @ a1534 )
      | ( c1_1 @ a1534 ) )
   <= ( ~ ( c3_1 @ a1534 )
      & ! [X44: $i] :
          ( ( c1_1 @ X44 )
          | ( c3_1 @ X44 )
          | ~ ( c0_1 @ X44 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl745]) ).

thf('52',plain,
    ( ~ ! [X44: $i] :
          ( ( c1_1 @ X44 )
          | ( c3_1 @ X44 )
          | ~ ( c0_1 @ X44 ) )
    | ( c1_1 @ a1534 )
    | ( c3_1 @ a1534 )
    | ~ ( c0_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl1568]) ).

thf(zip_derived_cl31,plain,
    ! [X34: $i,X35: $i,X36: $i] :
      ( ( c1_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X20: $i] :
        ( ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl5094,plain,
    ( ( c1_1 @ a1534 )
   <= ( c1_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl1462]) ).

thf(zip_derived_cl235_019,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_cl10]) ).

thf(zip_derived_cl5118,plain,
    ( ( ~ ( c0_1 @ a1534 )
      | ~ ( c2_1 @ a1534 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1534 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5094,zip_derived_cl235]) ).

thf('54',plain,
    ( ~ ( c1_1 @ a1534 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1534 )
    | ~ ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl5118]) ).

thf(zip_derived_cl29,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | hskp14
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( hskp1
    | hskp14
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a1538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ~ ( c1_1 @ a1538 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl75,plain,
    ! [X123: $i,X124: $i,X125: $i] :
      ( ( c0_1 @ X123 )
      | ( c1_1 @ X123 )
      | ( c2_1 @ X123 )
      | ~ ndr1_0
      | ( c0_1 @ X124 )
      | ( c3_1 @ X124 )
      | ~ ( c2_1 @ X124 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X125 )
      | ~ ( c1_1 @ X125 )
      | ~ ( c2_1 @ X125 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c2_1 @ X119 ) )
    | ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c3_1 @ X96 )
        | ~ ( c2_1 @ X96 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl62,plain,
    ! [X95: $i,X96: $i,X97: $i] :
      ( ( c0_1 @ X95 )
      | ( c2_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ndr1_0
      | ( c0_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ( c0_1 @ X97 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl445,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c3_1 @ X96 )
        | ~ ( c2_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c3_1 @ X96 )
        | ~ ( c2_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ~ ( c3_1 @ a1545 )
   <= ~ ( c3_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2117,plain,
    ( ( ~ ( c2_1 @ a1545 )
      | ( c0_1 @ a1545 ) )
   <= ( ~ ( c3_1 @ a1545 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c3_1 @ X96 )
          | ~ ( c2_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl697]) ).

thf('58',plain,
    ( ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c3_1 @ X96 )
          | ~ ( c2_1 @ X96 ) )
    | ( c3_1 @ a1545 )
    | ( c0_1 @ a1545 )
    | ~ ( c2_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2117]) ).

thf('59',plain,
    ( hskp20
    | hskp21
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X25: $i] :
        ( ( c3_1 @ X25 )
        | ~ ( c1_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
    | ~ ndr1_0
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ( c2_1 @ a1575 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ( c2_1 @ a1575 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1575 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c0_1 @ a1575 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a1575 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c1_1 @ a1575 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl464_020,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl585,plain,
    ( ~ ( c1_1 @ a1575 )
   <= ~ ( c1_1 @ a1575 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl2172,plain,
    ( ( ~ ( c2_1 @ a1575 )
      | ( c0_1 @ a1575 ) )
   <= ( ~ ( c1_1 @ a1575 )
      & ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl585]) ).

thf('64',plain,
    ( ( c0_1 @ a1575 )
    | ( c1_1 @ a1575 )
    | ~ ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
    | ~ ( c2_1 @ a1575 ) ),
    inference(split,[status(esa)],[zip_derived_cl2172]) ).

thf(zip_derived_cl40,plain,
    ! [X52: $i,X53: $i] :
      ( ( c1_1 @ X52 )
      | ( c2_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | hskp16
    | ~ ndr1_0
    | ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c2_1 @ a1566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c2_1 @ a1566 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl307_021,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a1566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ~ ( c1_1 @ a1566 )
   <= ~ ( c1_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1228,plain,
    ( ( ~ ( c2_1 @ a1566 )
      | ~ ( c0_1 @ a1566 ) )
   <= ( ~ ( c1_1 @ a1566 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl625]) ).

thf('67',plain,
    ( ( c1_1 @ a1566 )
    | ~ ( c2_1 @ a1566 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c0_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl1228]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ( c3_1 @ a1566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ~ hskp16
    | ( c3_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('69',plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl623,plain,
    ( ( c3_1 @ a1566 )
   <= ( c3_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl64,plain,
    ! [X100: $i,X101: $i,X102: $i] :
      ( ( c0_1 @ X100 )
      | ( c1_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0
      | ( c3_1 @ X101 )
      | ~ ( c0_1 @ X101 )
      | ~ ( c1_1 @ X101 )
      | ~ ndr1_0
      | ( c3_1 @ X102 )
      | ~ ( c0_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
   <= ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl2034,plain,
    ( ( ( c0_1 @ a1566 )
      | ( c1_1 @ a1566 ) )
   <= ( ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) )
      & ( c3_1 @ a1566 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl453]) ).

thf('70',plain,
    ( ~ ( c3_1 @ a1566 )
    | ( c1_1 @ a1566 )
    | ~ ! [X100: $i] :
          ( ( c0_1 @ X100 )
          | ( c1_1 @ X100 )
          | ~ ( c3_1 @ X100 ) )
    | ( c0_1 @ a1566 ) ),
    inference(split,[status(esa)],[zip_derived_cl2034]) ).

thf('71',plain,
    ( ! [X100: $i] :
        ( ( c0_1 @ X100 )
        | ( c1_1 @ X100 )
        | ~ ( c3_1 @ X100 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl745_022,plain,
    ( ~ ( c3_1 @ a1534 )
   <= ~ ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl239_023,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl951,plain,
    ( ( ~ ( c0_1 @ a1534 )
      | ~ ( c1_1 @ a1534 ) )
   <= ( ~ ( c3_1 @ a1534 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl745,zip_derived_cl239]) ).

thf('72',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c1_1 @ a1534 )
    | ( c3_1 @ a1534 )
    | ~ ( c0_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf(zip_derived_cl295,plain,
    ( ! [X25: $i] :
        ( ( c3_1 @ X25 )
        | ~ ( c1_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c3_1 @ X25 )
        | ~ ( c1_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl745_024,plain,
    ( ~ ( c3_1 @ a1534 )
   <= ~ ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1118,plain,
    ( ( ~ ( c2_1 @ a1534 )
      | ~ ( c1_1 @ a1534 ) )
   <= ( ~ ( c3_1 @ a1534 )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ~ ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl745]) ).

thf('73',plain,
    ( ~ ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c1_1 @ a1534 )
    | ( c3_1 @ a1534 )
    | ~ ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl1118]) ).

thf(zip_derived_cl307_025,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl963,plain,
    ( ~ ( c1_1 @ a1534 )
   <= ~ ( c1_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf(zip_derived_cl1217,plain,
    ( ( ~ ( c2_1 @ a1534 )
      | ~ ( c0_1 @ a1534 ) )
   <= ( ~ ( c1_1 @ a1534 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl963]) ).

thf('74',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ( c1_1 @ a1534 )
    | ~ ( c0_1 @ a1534 )
    | ~ ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i,X20: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | ( c3_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ( ! [X20: $i] :
        ( ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl745_026,plain,
    ( ~ ( c3_1 @ a1534 )
   <= ~ ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl984,plain,
    ( ( ~ ( c2_1 @ a1534 )
      | ~ ( c0_1 @ a1534 ) )
   <= ( ~ ( c3_1 @ a1534 )
      & ! [X20: $i] :
          ( ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl745]) ).

thf('75',plain,
    ( ~ ! [X20: $i] :
          ( ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c0_1 @ a1534 )
    | ~ ( c2_1 @ a1534 )
    | ( c3_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf('76',plain,
    ( ~ ( c3_1 @ a1534 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf('77',plain,
    ( ~ ( c3_1 @ a1545 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl70,plain,
    ! [X115: $i,X116: $i] :
      ( ( c0_1 @ X115 )
      | ( c1_1 @ X115 )
      | ( c3_1 @ X115 )
      | ~ ndr1_0
      | ( c3_1 @ X116 )
      | ~ ( c0_1 @ X116 )
      | ~ ( c1_1 @ X116 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X113: $i] :
        ( ( c0_1 @ X113 )
        | ( c1_1 @ X113 )
        | ( c3_1 @ X113 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp5
    | ( c3_1 @ a1539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ( c3_1 @ a1539 )
   <= ( c3_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl228_027,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_cl8]) ).

thf(zip_derived_cl1643,plain,
    ( ( ~ ( c1_1 @ a1539 )
      | ~ ( c2_1 @ a1539 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl228]) ).

thf('79',plain,
    ( ~ ( c2_1 @ a1539 )
    | ~ ( c3_1 @ a1539 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl1643]) ).

thf(zip_derived_cl711_028,plain,
    ( ( c3_1 @ a1539 )
   <= ( c3_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl248_029,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1645,plain,
    ( ( ( c2_1 @ a1539 )
      | ~ ( c1_1 @ a1539 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl248]) ).

thf('80',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ( c2_1 @ a1539 )
    | ~ ( c3_1 @ a1539 )
    | ~ ( c1_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl1645]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i,X5: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
    | ~ ndr1_0
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a1600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( c3_1 @ a1600 )
   <= ~ ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl239_030,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl813,plain,
    ( ( ~ ( c0_1 @ a1600 )
      | ~ ( c1_1 @ a1600 ) )
   <= ( ~ ( c3_1 @ a1600 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl561,zip_derived_cl239]) ).

thf('82',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c1_1 @ a1600 )
    | ~ ( c0_1 @ a1600 )
    | ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl567_031,plain,
    ( ( c3_1 @ a1593 )
   <= ( c3_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl228_032,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_cl8]) ).

thf(zip_derived_cl1412,plain,
    ( ( ~ ( c1_1 @ a1593 )
      | ~ ( c2_1 @ a1593 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl228]) ).

thf(zip_derived_cl2762,plain,
    ( ~ ( c1_1 @ a1593 )
   <= ~ ( c1_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1412]) ).

thf(zip_derived_cl39,plain,
    ! [X51: $i] :
      ( ( c1_1 @ X51 )
      | ( c2_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ndr1_0
      | hskp11
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl2765,plain,
    ( ( ( c2_1 @ a1593 )
      | ~ ( c0_1 @ a1593 ) )
   <= ( ~ ( c1_1 @ a1593 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl351]) ).

thf('83',plain,
    ( ( c1_1 @ a1593 )
    | ( c2_1 @ a1593 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) )
    | ~ ( c0_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl2765]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp23
    | ( c0_1 @ a1593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c0_1 @ a1593 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('85',plain,
    ( ~ hskp23
    | ( c3_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1593 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl567_033,plain,
    ( ( c3_1 @ a1593 )
   <= ( c3_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl248_034,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1414,plain,
    ( ( ( c2_1 @ a1593 )
      | ~ ( c1_1 @ a1593 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1593 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl248]) ).

thf('87',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a1593 )
    | ( c2_1 @ a1593 )
    | ~ ( c1_1 @ a1593 ) ),
    inference(split,[status(esa)],[zip_derived_cl1414]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp31
    | ( c3_1 @ a1562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( c3_1 @ a1562 )
   <= ( c3_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl228_035,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_cl8]) ).

thf(zip_derived_cl1334,plain,
    ( ( ~ ( c1_1 @ a1562 )
      | ~ ( c2_1 @ a1562 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl228]) ).

thf(zip_derived_cl2600,plain,
    ( ~ ( c1_1 @ a1562 )
   <= ~ ( c1_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf(zip_derived_cl307_036,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl2602,plain,
    ( ( ~ ( c0_1 @ a1562 )
      | ~ ( c2_1 @ a1562 ) )
   <= ( ~ ( c1_1 @ a1562 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2600,zip_derived_cl307]) ).

thf('88',plain,
    ( ( c1_1 @ a1562 )
    | ~ ( c2_1 @ a1562 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c0_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl2602]) ).

thf(zip_derived_cl69,plain,
    ! [X113: $i,X114: $i] :
      ( ( c0_1 @ X113 )
      | ( c1_1 @ X113 )
      | ( c3_1 @ X113 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X114 )
      | ~ ( c1_1 @ X114 )
      | ~ ( c3_1 @ X114 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl472,plain,
    ( ! [X113: $i] :
        ( ( c0_1 @ X113 )
        | ( c1_1 @ X113 )
        | ( c3_1 @ X113 ) )
   <= ! [X113: $i] :
        ( ( c0_1 @ X113 )
        | ( c1_1 @ X113 )
        | ( c3_1 @ X113 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl697_037,plain,
    ( ~ ( c3_1 @ a1545 )
   <= ~ ( c3_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2223,plain,
    ( ( ( c1_1 @ a1545 )
      | ( c0_1 @ a1545 ) )
   <= ( ~ ( c3_1 @ a1545 )
      & ! [X113: $i] :
          ( ( c0_1 @ X113 )
          | ( c1_1 @ X113 )
          | ( c3_1 @ X113 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl697]) ).

thf('89',plain,
    ( ( c1_1 @ a1545 )
    | ( c0_1 @ a1545 )
    | ( c3_1 @ a1545 )
    | ~ ! [X113: $i] :
          ( ( c0_1 @ X113 )
          | ( c1_1 @ X113 )
          | ( c3_1 @ X113 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2223]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a1538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    ( ~ ( c3_1 @ a1538 )
   <= ~ ( c3_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl17,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ndr1_0
      | hskp28
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,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_cl17]) ).

thf(zip_derived_cl932,plain,
    ( ( ( c2_1 @ a1538 )
      | ~ ( c0_1 @ a1538 ) )
   <= ( ~ ( c3_1 @ a1538 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl263]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a1538 )
    | ( c2_1 @ a1538 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c3_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl932]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c2_1 @ a1538 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('92',plain,
    ( ~ ( c3_1 @ a1538 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl55,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | hskp10
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp4
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl63,plain,
    ! [X98: $i,X99: $i] :
      ( ( c0_1 @ X98 )
      | ( c2_1 @ X98 )
      | ( c3_1 @ X98 )
      | ~ ndr1_0
      | ( c0_1 @ X99 )
      | ( c2_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf('95',plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | hskp15
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c1_1 @ a1574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ( c1_1 @ a1574 )
   <= ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl415,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ~ ( c1_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1964,plain,
    ( ( ( c0_1 @ a1574 )
      | ( c2_1 @ a1574 ) )
   <= ( ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 ) )
      & ( c1_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl415]) ).

thf('96',plain,
    ( ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ~ ( c1_1 @ X81 ) )
    | ~ ( c1_1 @ a1574 )
    | ( c2_1 @ a1574 )
    | ( c0_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1964]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ( c3_1 @ a1549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ( c3_1 @ a1549 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl671,plain,
    ( ( c3_1 @ a1549 )
   <= ( c3_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl291_038,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1611,plain,
    ( ( ( c1_1 @ a1549 )
      | ~ ( c0_1 @ a1549 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1549 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl291]) ).

thf('98',plain,
    ( ~ ( c3_1 @ a1549 )
    | ( c1_1 @ a1549 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl1611]) ).

thf(zip_derived_cl26,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | hskp14
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl335_039,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl561_040,plain,
    ( ~ ( c3_1 @ a1600 )
   <= ~ ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1471,plain,
    ( ( ~ ( c2_1 @ a1600 )
      | ( c1_1 @ a1600 ) )
   <= ( ~ ( c3_1 @ a1600 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl561]) ).

thf(zip_derived_cl5326,plain,
    ( ( c1_1 @ a1600 )
   <= ( c1_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf(zip_derived_cl303,plain,
    ( ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl5351,plain,
    ( ( ( c2_1 @ a1600 )
      | ~ ( c0_1 @ a1600 ) )
   <= ( ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
      & ( c1_1 @ a1600 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5326,zip_derived_cl303]) ).

thf('100',plain,
    ( ( c2_1 @ a1600 )
    | ~ ( c1_1 @ a1600 )
    | ~ ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
    | ~ ( c0_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl5351]) ).

thf(zip_derived_cl351_041,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl817,plain,
    ( ~ ( c1_1 @ a1600 )
   <= ~ ( c1_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl1746,plain,
    ( ( ~ ( c0_1 @ a1600 )
      | ( c2_1 @ a1600 ) )
   <= ( ~ ( c1_1 @ a1600 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl817]) ).

thf('101',plain,
    ( ( c1_1 @ a1600 )
    | ~ ( c0_1 @ a1600 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) )
    | ( c2_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl1746]) ).

thf(zip_derived_cl58,plain,
    ! [X87: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp30
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl427,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c2_1 @ X87 )
        | ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl721_042,plain,
    ( ~ ( c3_1 @ a1538 )
   <= ~ ( c3_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl2069,plain,
    ( ( ( c2_1 @ a1538 )
      | ( c0_1 @ a1538 ) )
   <= ( ~ ( c3_1 @ a1538 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl721]) ).

thf('102',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c2_1 @ X87 )
          | ( c3_1 @ X87 ) )
    | ( c0_1 @ a1538 )
    | ( c3_1 @ a1538 )
    | ( c2_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl2069]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp6
    | ( c0_1 @ a1543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c0_1 @ a1543 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a1543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ~ ( c1_1 @ a1543 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a1543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ ( c2_1 @ a1543 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl351_043,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl703,plain,
    ( ~ ( c1_1 @ a1543 )
   <= ~ ( c1_1 @ a1543 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1733,plain,
    ( ( ~ ( c0_1 @ a1543 )
      | ( c2_1 @ a1543 ) )
   <= ( ~ ( c1_1 @ a1543 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl703]) ).

thf('106',plain,
    ( ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) )
    | ( c1_1 @ a1543 )
    | ( c2_1 @ a1543 )
    | ~ ( c0_1 @ a1543 ) ),
    inference(split,[status(esa)],[zip_derived_cl1733]) ).

thf(zip_derived_cl307_044,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl673,plain,
    ( ~ ( c1_1 @ a1549 )
   <= ~ ( c1_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1224,plain,
    ( ( ~ ( c2_1 @ a1549 )
      | ~ ( c0_1 @ a1549 ) )
   <= ( ~ ( c1_1 @ a1549 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl673]) ).

thf('107',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a1549 )
    | ( c1_1 @ a1549 )
    | ~ ( c0_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl1224]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c0_1 @ a1549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c0_1 @ a1549 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('109',plain,
    ( ~ ( c1_1 @ a1549 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl46,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ~ ( c0_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl591_045,plain,
    ( ( c3_1 @ a1574 )
   <= ( c3_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl51,plain,
    ! [X74: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | hskp12
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1936,plain,
    ( ( ( c0_1 @ a1574 )
      | ( c2_1 @ a1574 ) )
   <= ( ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
      & ( c3_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl399]) ).

thf('111',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c2_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
    | ~ ( c3_1 @ a1574 )
    | ( c2_1 @ a1574 )
    | ( c0_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1936]) ).

thf(zip_derived_cl589_046,plain,
    ( ( c1_1 @ a1574 )
   <= ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl303_047,plain,
    ( ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1432,plain,
    ( ( ( c2_1 @ a1574 )
      | ~ ( c0_1 @ a1574 ) )
   <= ( ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
      & ( c1_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl303]) ).

thf('112',plain,
    ( ~ ( c0_1 @ a1574 )
    | ( c2_1 @ a1574 )
    | ~ ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
    | ~ ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1432]) ).

thf('113',plain,
    ( ( c3_1 @ a1542 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl529_048,plain,
    ( ( c3_1 @ a1542 )
   <= ( c3_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl228_049,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_cl8]) ).

thf(zip_derived_cl1390,plain,
    ( ( ~ ( c1_1 @ a1542 )
      | ~ ( c2_1 @ a1542 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1542 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl228]) ).

thf('114',plain,
    ( ~ ( c1_1 @ a1542 )
    | ~ ( c3_1 @ a1542 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1390]) ).

thf('115',plain,
    ( ( c3_1 @ a1574 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl43,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp1
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp1
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp5
    | ( c1_1 @ a1539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ( c1_1 @ a1539 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('118',plain,
    ( ( c3_1 @ a1539 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c0_1 @ a1539 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl711_050,plain,
    ( ( c3_1 @ a1539 )
   <= ( c3_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl367,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1828,plain,
    ( ( ( c0_1 @ a1539 )
      | ~ ( c1_1 @ a1539 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a1539 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl367]) ).

thf('120',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c3_1 @ a1539 )
    | ( c0_1 @ a1539 )
    | ~ ( c1_1 @ a1539 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf('121',plain,
    ( hskp5
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
    | ~ ndr1_0
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl47,plain,
    ! [X65: $i,X66: $i] :
      ( ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ( c2_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
    | ~ ndr1_0
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl52,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c2_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
    | hskp11
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('124',plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
    | hskp28
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl4,plain,
    ( hskp31
    | hskp15
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( hskp15
    | hskp7
    | hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ( hskp14
    | hskp20
    | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp20
    | hskp15
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('127',plain,
    ( ( c1_1 @ a1574 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a1574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ ( c2_1 @ a1574 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl255_051,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl248_052,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl827,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl248]) ).

thf(zip_derived_cl836,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl827]) ).

thf(zip_derived_cl589_053,plain,
    ( ( c1_1 @ a1574 )
   <= ( c1_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl2460,plain,
    ( ( c2_1 @ a1574 )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1574 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl836,zip_derived_cl589]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c2_1 @ a1574 )
   <= ~ ( c2_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('129',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ( c2_1 @ a1574 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a1574 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2460,zip_derived_cl593]) ).

thf(zip_derived_cl836_054,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl827]) ).

thf(zip_derived_cl639_055,plain,
    ( ( c1_1 @ a1558 )
   <= ( c1_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl2458,plain,
    ( ( c2_1 @ a1558 )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1558 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl836,zip_derived_cl639]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a1558 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c2_1 @ a1558 )
   <= ~ ( c2_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('130',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c1_1 @ a1558 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a1558 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2458,zip_derived_cl641]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c1_1 @ a1565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c1_1 @ a1565 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a1565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('133',plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl633_056,plain,
    ( ~ ( c3_1 @ a1565 )
   <= ~ ( c3_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl255_057,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl853,plain,
    ( ( ( c2_1 @ a1565 )
      | ~ ( c1_1 @ a1565 ) )
   <= ( ~ ( c3_1 @ a1565 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl255]) ).

thf('134',plain,
    ( ( c2_1 @ a1565 )
    | ( c3_1 @ a1565 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a1565 ) ),
    inference(split,[status(esa)],[zip_derived_cl853]) ).

thf(zip_derived_cl263_058,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_cl17]) ).

thf(zip_derived_cl601_059,plain,
    ( ~ ( c3_1 @ a1573 )
   <= ~ ( c3_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl884,plain,
    ( ( ~ ( c0_1 @ a1573 )
      | ( c2_1 @ a1573 ) )
   <= ( ~ ( c3_1 @ a1573 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl601]) ).

thf('135',plain,
    ( ( c3_1 @ a1573 )
    | ( c2_1 @ a1573 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ~ ( c0_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl884]) ).

thf('136',plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf('137',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | hskp19
    | hskp24
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c0_1 @ a1600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c0_1 @ a1600 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a1600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('140',plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl263_060,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_cl17]) ).

thf(zip_derived_cl561_061,plain,
    ( ~ ( c3_1 @ a1600 )
   <= ~ ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl886,plain,
    ( ( ~ ( c0_1 @ a1600 )
      | ( c2_1 @ a1600 ) )
   <= ( ~ ( c3_1 @ a1600 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl561]) ).

thf('141',plain,
    ( ( c2_1 @ a1600 )
    | ~ ( c0_1 @ a1600 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c3_1 @ a1600 ) ),
    inference(split,[status(esa)],[zip_derived_cl886]) ).

thf(zip_derived_cl307_062,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl235_063,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_cl10]) ).

thf(zip_derived_cl1214,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl235]) ).

thf(zip_derived_cl1268,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1214]) ).

thf(zip_derived_cl926_064,plain,
    ( ( c2_1 @ a1573 )
   <= ( c2_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl838]) ).

thf(zip_derived_cl2333,plain,
    ( ~ ( c0_1 @ a1573 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1573 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl926]) ).

thf(zip_derived_cl597_065,plain,
    ( ( c0_1 @ a1573 )
   <= ( c0_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('142',plain,
    ( ~ ( c0_1 @ a1573 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1573 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2333,zip_derived_cl597]) ).

thf(zip_derived_cl18,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | hskp19
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( hskp13
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl3929,plain,
    ( ( c0_1 @ a1542 )
   <= ( c0_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1804]) ).

thf(zip_derived_cl1268_066,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1214]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c2_1 @ a1542 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( c2_1 @ a1542 )
   <= ( c2_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl2338,plain,
    ( ~ ( c0_1 @ a1542 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1542 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl527]) ).

thf('144',plain,
    ( ~ ( c0_1 @ a1542 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1542 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3929,zip_derived_cl2338]) ).

thf('145',plain,
    ( ( c1_1 @ a1542 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('146',plain,
    ( ( c2_1 @ a1542 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl525_067,plain,
    ( ( c1_1 @ a1542 )
   <= ( c1_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl375_068,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1858,plain,
    ( ( ( c0_1 @ a1542 )
      | ~ ( c2_1 @ a1542 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
      & ( c1_1 @ a1542 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl375]) ).

thf('147',plain,
    ( ( c0_1 @ a1542 )
    | ~ ( c1_1 @ a1542 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
    | ~ ( c2_1 @ a1542 ) ),
    inference(split,[status(esa)],[zip_derived_cl1858]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c1_1 @ a1556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ( c1_1 @ a1556 )
   <= ( c1_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl375_069,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1854,plain,
    ( ( ( c0_1 @ a1556 )
      | ~ ( c2_1 @ a1556 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
      & ( c1_1 @ a1556 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl375]) ).

thf(zip_derived_cl4234,plain,
    ( ( c0_1 @ a1556 )
   <= ( c0_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl1854]) ).

thf(zip_derived_cl1268_070,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1214]) ).

thf(zip_derived_cl649_071,plain,
    ( ~ ( c3_1 @ a1556 )
   <= ~ ( c3_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl255_072,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl866,plain,
    ( ( ( c2_1 @ a1556 )
      | ~ ( c1_1 @ a1556 ) )
   <= ( ~ ( c3_1 @ a1556 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl649,zip_derived_cl255]) ).

thf(zip_derived_cl971,plain,
    ( ( c2_1 @ a1556 )
   <= ( c2_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf(zip_derived_cl2329,plain,
    ( ~ ( c0_1 @ a1556 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1556 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl971]) ).

thf('148',plain,
    ( ~ ( c0_1 @ a1556 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1556 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4234,zip_derived_cl2329]) ).

thf('149',plain,
    ( ( c1_1 @ a1556 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c2_1 @ a1556 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c2_1 @ a1556 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('151',plain,
    ( ( c0_1 @ a1556 )
    | ~ ( c2_1 @ a1556 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
    | ~ ( c1_1 @ a1556 ) ),
    inference(split,[status(esa)],[zip_derived_cl1854]) ).

thf(zip_derived_cl307_073,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ~ ( c1_1 @ a1573 )
   <= ~ ( c1_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1230,plain,
    ( ( ~ ( c2_1 @ a1573 )
      | ~ ( c0_1 @ a1573 ) )
   <= ( ~ ( c1_1 @ a1573 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl599]) ).

thf('152',plain,
    ( ( c1_1 @ a1573 )
    | ~ ( c2_1 @ a1573 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c0_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl1230]) ).

thf('153',plain,
    ( ( c0_1 @ a1573 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('154',plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl351_074,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl599_075,plain,
    ( ~ ( c1_1 @ a1573 )
   <= ~ ( c1_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1743,plain,
    ( ( ~ ( c0_1 @ a1573 )
      | ( c2_1 @ a1573 ) )
   <= ( ~ ( c1_1 @ a1573 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl599]) ).

thf('155',plain,
    ( ( c1_1 @ a1573 )
    | ( c2_1 @ a1573 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) )
    | ~ ( c0_1 @ a1573 ) ),
    inference(split,[status(esa)],[zip_derived_cl1743]) ).

thf('156',plain,
    ( hskp1
    | hskp11
    | ~ ndr1_0
    | ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1268_076,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1214]) ).

thf(zip_derived_cl503_077,plain,
    ( ( c2_1 @ a1562 )
   <= ( c2_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl2340,plain,
    ( ~ ( c0_1 @ a1562 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1562 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl503]) ).

thf(zip_derived_cl501_078,plain,
    ( ( c0_1 @ a1562 )
   <= ( c0_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('157',plain,
    ( ~ ( c2_1 @ a1562 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1562 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2340,zip_derived_cl501]) ).

thf('158',plain,
    ( ( c0_1 @ a1534 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('159',plain,
    ( ( c2_1 @ a1534 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl1268_079,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1214]) ).

thf(zip_derived_cl743_080,plain,
    ( ( c2_1 @ a1534 )
   <= ( c2_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl2322,plain,
    ( ~ ( c0_1 @ a1534 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
      & ( c2_1 @ a1534 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl743]) ).

thf(zip_derived_cl741_081,plain,
    ( ( c0_1 @ a1534 )
   <= ( c0_1 @ a1534 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('160',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c0_1 @ a1534 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1534 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2322,zip_derived_cl741]) ).

thf(zip_derived_cl351_082,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ~ ( c0_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl673_083,plain,
    ( ~ ( c1_1 @ a1549 )
   <= ~ ( c1_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1737,plain,
    ( ( ~ ( c0_1 @ a1549 )
      | ( c2_1 @ a1549 ) )
   <= ( ~ ( c1_1 @ a1549 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl673]) ).

thf('161',plain,
    ( ( c2_1 @ a1549 )
    | ( c1_1 @ a1549 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ~ ( c0_1 @ X51 ) )
    | ~ ( c0_1 @ a1549 ) ),
    inference(split,[status(esa)],[zip_derived_cl1737]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c0_1 @ a1553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ hskp11
    | ( c0_1 @ a1553 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ( c2_1 @ a1553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ hskp11
    | ( c2_1 @ a1553 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a1553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a1553 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl307_084,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl665,plain,
    ( ~ ( c1_1 @ a1553 )
   <= ~ ( c1_1 @ a1553 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1225,plain,
    ( ( ~ ( c2_1 @ a1553 )
      | ~ ( c0_1 @ a1553 ) )
   <= ( ~ ( c1_1 @ a1553 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl665]) ).

thf('165',plain,
    ( ( c1_1 @ a1553 )
    | ~ ( c0_1 @ a1553 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ~ ( c0_1 @ X30 )
          | ~ ( c2_1 @ X30 ) )
    | ~ ( c2_1 @ a1553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1225]) ).

thf(zip_derived_cl72,plain,
    ! [X119: $i] :
      ( ( c0_1 @ X119 )
      | ( c1_1 @ X119 )
      | ( c2_1 @ X119 )
      | ~ ndr1_0
      | hskp3
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c2_1 @ X119 ) )
   <= ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c2_1 @ X119 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl717,plain,
    ( ~ ( c1_1 @ a1538 )
   <= ~ ( c1_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl2262,plain,
    ( ( ( c2_1 @ a1538 )
      | ( c0_1 @ a1538 ) )
   <= ( ~ ( c1_1 @ a1538 )
      & ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c2_1 @ X119 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl717]) ).

thf('166',plain,
    ( ( c1_1 @ a1538 )
    | ( c2_1 @ a1538 )
    | ~ ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c2_1 @ X119 ) )
    | ( c0_1 @ a1538 ) ),
    inference(split,[status(esa)],[zip_derived_cl2262]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(zip_derived_cl160,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl2,plain,
    ( hskp10
    | hskp12
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( hskp3
    | hskp12
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf('171',plain,
    ( ( c0_1 @ a1558 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('172',plain,
    ( ( c1_1 @ a1558 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('173',plain,
    ( ~ ( c2_1 @ a1558 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl639_085,plain,
    ( ( c1_1 @ a1558 )
   <= ( c1_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl303_086,plain,
    ( ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c2_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1533,plain,
    ( ( ( c2_1 @ a1558 )
      | ~ ( c0_1 @ a1558 ) )
   <= ( ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
      & ( c1_1 @ a1558 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl303]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a1558 )
    | ( c2_1 @ a1558 )
    | ~ ! [X29: $i] :
          ( ( c2_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 ) )
    | ~ ( c1_1 @ a1558 ) ),
    inference(split,[status(esa)],[zip_derived_cl1533]) ).

thf(zip_derived_cl591_087,plain,
    ( ( c3_1 @ a1574 )
   <= ( c3_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl367_088,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1833,plain,
    ( ( ( c0_1 @ a1574 )
      | ~ ( c1_1 @ a1574 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c3_1 @ a1574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl367]) ).

thf('175',plain,
    ( ( c0_1 @ a1574 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c1_1 @ a1574 )
    | ~ ( c3_1 @ a1574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1833]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i,X9: $i,X10: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl505_089,plain,
    ( ( c3_1 @ a1562 )
   <= ( c3_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl291_090,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1339,plain,
    ( ( ( c1_1 @ a1562 )
      | ~ ( c0_1 @ a1562 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl291]) ).

thf('177',plain,
    ( ( c1_1 @ a1562 )
    | ~ ( c3_1 @ a1562 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c0_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1339]) ).

thf('178',plain,
    ( ~ hskp31
    | ( c0_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('179',plain,
    ( ~ hskp31
    | ( c2_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('180',plain,
    ( ~ hskp31
    | ( c3_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf('181',plain,
    ( ~ ( c3_1 @ a1562 )
    | ~ ( c2_1 @ a1562 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf('182',plain,
    ( hskp7
    | hskp31
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl335_091,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c3_1 @ X43 )
        | ~ ( c2_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl697_092,plain,
    ( ~ ( c3_1 @ a1545 )
   <= ~ ( c3_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1464,plain,
    ( ( ~ ( c2_1 @ a1545 )
      | ( c1_1 @ a1545 ) )
   <= ( ~ ( c3_1 @ a1545 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c3_1 @ X43 )
          | ~ ( c2_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl697]) ).

thf(zip_derived_cl5160,plain,
    ( ( c1_1 @ a1545 )
   <= ( c1_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl1464]) ).

thf(zip_derived_cl375_093,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl5186,plain,
    ( ( ( c0_1 @ a1545 )
      | ~ ( c2_1 @ a1545 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
      & ( c1_1 @ a1545 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5160,zip_derived_cl375]) ).

thf('183',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ~ ( c1_1 @ X62 )
          | ~ ( c2_1 @ X62 ) )
    | ~ ( c1_1 @ a1545 )
    | ( c0_1 @ a1545 )
    | ~ ( c2_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl5186]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c2_1 @ a1545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ( c2_1 @ a1545 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a1545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ~ ( c0_1 @ a1545 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl464_094,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl697_095,plain,
    ( ~ ( c3_1 @ a1545 )
   <= ~ ( c3_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl239_096,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl916,plain,
    ( ( ~ ( c0_1 @ a1545 )
      | ~ ( c1_1 @ a1545 ) )
   <= ( ~ ( c3_1 @ a1545 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl697,zip_derived_cl239]) ).

thf(zip_derived_cl922,plain,
    ( ~ ( c1_1 @ a1545 )
   <= ~ ( c1_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf(zip_derived_cl2162,plain,
    ( ( ~ ( c2_1 @ a1545 )
      | ( c0_1 @ a1545 ) )
   <= ( ~ ( c1_1 @ a1545 )
      & ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl922]) ).

thf('186',plain,
    ( ( c1_1 @ a1545 )
    | ( c0_1 @ a1545 )
    | ~ ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
    | ~ ( c2_1 @ a1545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2162]) ).

thf(zip_derived_cl48,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( hskp2
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ~ ( c1_1 @ X62 )
        | ~ ( c2_1 @ X62 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ~ ( c0_1 @ X30 )
        | ~ ( c2_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a1535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c1_1 @ a1535 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl483_097,plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c2_1 @ X119 ) )
   <= ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c2_1 @ X119 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl735,plain,
    ( ~ ( c1_1 @ a1535 )
   <= ~ ( c1_1 @ a1535 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl2261,plain,
    ( ( ( c2_1 @ a1535 )
      | ( c0_1 @ a1535 ) )
   <= ( ~ ( c1_1 @ a1535 )
      & ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c2_1 @ X119 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl735]) ).

thf('189',plain,
    ( ( c0_1 @ a1535 )
    | ( c1_1 @ a1535 )
    | ~ ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c2_1 @ X119 ) )
    | ( c2_1 @ a1535 ) ),
    inference(split,[status(esa)],[zip_derived_cl2261]) ).

thf(zip_derived_cl733,plain,
    ( ( c3_1 @ a1535 )
   <= ( c3_1 @ a1535 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl291_098,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1665,plain,
    ( ( ( c1_1 @ a1535 )
      | ~ ( c0_1 @ a1535 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c3_1 @ a1535 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl291]) ).

thf('190',plain,
    ( ~ ( c0_1 @ a1535 )
    | ( c1_1 @ a1535 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a1535 ) ),
    inference(split,[status(esa)],[zip_derived_cl1665]) ).

thf(zip_derived_cl9153,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN480+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lbr1Z6tRlX true
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 18:19:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.37/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.73/1.73  % Solved by fo/fo1_av.sh.
% 7.73/1.73  % done 2465 iterations in 0.912s
% 7.73/1.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.73/1.73  % SZS output start Refutation
% See solution above
% 7.73/1.74  
% 7.73/1.74  
% 7.73/1.74  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.73/1.74  % Terminating...
% 8.70/1.87  % Runner terminated.
% 8.70/1.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------