TSTP Solution File: SYN439+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN439+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.B0sEekDKCT true

% Computer : n021.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 04:03:28 EDT 2023

% Result   : Theorem 71.61s 10.87s
% Output   : Refutation 71.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  112
% Syntax   : Number of formulae    : 1008 (   1 unt; 111 typ;   0 def)
%            Number of atoms       : 5484 (   0 equ;   0 cnn)
%            Maximal formula atoms :  655 (   6 avg)
%            Number of connectives : 12014 (2907   ~;3278   |; 701   &;4520   @)
%                                         (   0 <=>; 164  =>; 444  <=;   0 <~>)
%            Maximal formula depth :  110 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  112 ( 111 usr; 108 con; 0-1 aty)
%            Number of variables   :  976 (   0   ^; 976   !;   0   ?; 976   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hskp32_type,type,
    hskp32: $o ).

thf(a543_type,type,
    a543: $i ).

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

thf(hskp38_type,type,
    hskp38: $o ).

thf(a541_type,type,
    a541: $i ).

thf(a591_type,type,
    a591: $i ).

thf(hskp35_type,type,
    hskp35: $o ).

thf(a556_type,type,
    a556: $i ).

thf(hskp44_type,type,
    hskp44: $o ).

thf(a560_type,type,
    a560: $i ).

thf(hskp48_type,type,
    hskp48: $o ).

thf(a578_type,type,
    a578: $i ).

thf(a562_type,type,
    a562: $i ).

thf(a589_type,type,
    a589: $i ).

thf(a570_type,type,
    a570: $i ).

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

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

thf(a544_type,type,
    a544: $i ).

thf(a535_type,type,
    a535: $i ).

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

thf(a538_type,type,
    a538: $i ).

thf(a548_type,type,
    a548: $i ).

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

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

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

thf(a549_type,type,
    a549: $i ).

thf(hskp45_type,type,
    hskp45: $o ).

thf(a539_type,type,
    a539: $i ).

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

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

thf(a545_type,type,
    a545: $i ).

thf(a573_type,type,
    a573: $i ).

thf(a566_type,type,
    a566: $i ).

thf(a555_type,type,
    a555: $i ).

thf(a537_type,type,
    a537: $i ).

thf(hskp36_type,type,
    hskp36: $o ).

thf(a577_type,type,
    a577: $i ).

thf(hskp42_type,type,
    hskp42: $o ).

thf(a590_type,type,
    a590: $i ).

thf(hskp43_type,type,
    hskp43: $o ).

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

thf(a583_type,type,
    a583: $i ).

thf(a561_type,type,
    a561: $i ).

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

thf(hskp41_type,type,
    hskp41: $o ).

thf(a558_type,type,
    a558: $i ).

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

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

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

thf(hskp49_type,type,
    hskp49: $o ).

thf(hskp40_type,type,
    hskp40: $o ).

thf(hskp46_type,type,
    hskp46: $o ).

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

thf(hskp52_type,type,
    hskp52: $o ).

thf(a594_type,type,
    a594: $i ).

thf(a596_type,type,
    a596: $i ).

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

thf(a554_type,type,
    a554: $i ).

thf(a563_type,type,
    a563: $i ).

thf(a572_type,type,
    a572: $i ).

thf(a536_type,type,
    a536: $i ).

thf(a559_type,type,
    a559: $i ).

thf(hskp50_type,type,
    hskp50: $o ).

thf(a576_type,type,
    a576: $i ).

thf(a584_type,type,
    a584: $i ).

thf(a571_type,type,
    a571: $i ).

thf(a569_type,type,
    a569: $i ).

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

thf(a575_type,type,
    a575: $i ).

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

thf(hskp47_type,type,
    hskp47: $o ).

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

thf(a568_type,type,
    a568: $i ).

thf(a550_type,type,
    a550: $i ).

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

thf(hskp37_type,type,
    hskp37: $o ).

thf(a582_type,type,
    a582: $i ).

thf(a540_type,type,
    a540: $i ).

thf(a552_type,type,
    a552: $i ).

thf(a565_type,type,
    a565: $i ).

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

thf(hskp34_type,type,
    hskp34: $o ).

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

thf(a574_type,type,
    a574: $i ).

thf(a567_type,type,
    a567: $i ).

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

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

thf(hskp39_type,type,
    hskp39: $o ).

thf(hskp33_type,type,
    hskp33: $o ).

thf(a546_type,type,
    a546: $i ).

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

thf(a557_type,type,
    a557: $i ).

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

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

thf(a581_type,type,
    a581: $i ).

thf(a564_type,type,
    a564: $i ).

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

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

thf(a551_type,type,
    a551: $i ).

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

thf(hskp51_type,type,
    hskp51: $o ).

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

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

thf(a547_type,type,
    a547: $i ).

thf(a586_type,type,
    a586: $i ).

thf(a595_type,type,
    a595: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a535 )
          & ( c0_1 @ a535 )
          & ~ ( c2_1 @ a535 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c2_1 @ a539 )
          & ~ ( c1_1 @ a539 )
          & ~ ( c0_1 @ a539 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a540 )
          & ( c1_1 @ a540 )
          & ~ ( c3_1 @ a540 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c1_1 @ a543 )
          & ~ ( c0_1 @ a543 )
          & ~ ( c3_1 @ a543 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c2_1 @ a545 )
          & ( c1_1 @ a545 )
          & ~ ( c0_1 @ a545 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c3_1 @ a546 )
          & ( c2_1 @ a546 )
          & ~ ( c1_1 @ a546 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c2_1 @ a548 )
          & ( c3_1 @ a548 )
          & ~ ( c0_1 @ a548 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a550 )
          & ( c3_1 @ a550 )
          & ~ ( c1_1 @ a550 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c3_1 @ a552 )
          & ~ ( c1_1 @ a552 )
          & ~ ( c2_1 @ a552 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a554 )
          & ~ ( c2_1 @ a554 )
          & ~ ( c1_1 @ a554 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c1_1 @ a558 )
          & ( c3_1 @ a558 )
          & ~ ( c0_1 @ a558 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a560 )
          & ~ ( c3_1 @ a560 )
          & ~ ( c0_1 @ a560 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a563 )
          & ~ ( c0_1 @ a563 )
          & ~ ( c2_1 @ a563 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a565 )
          & ( c2_1 @ a565 )
          & ~ ( c1_1 @ a565 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a567 )
          & ~ ( c1_1 @ a567 )
          & ~ ( c3_1 @ a567 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ ( c0_1 @ a569 )
          & ~ ( c1_1 @ a569 )
          & ~ ( c2_1 @ a569 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c3_1 @ a570 )
          & ( c1_1 @ a570 )
          & ~ ( c0_1 @ a570 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a571 )
          & ( c3_1 @ a571 )
          & ~ ( c2_1 @ a571 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c3_1 @ a572 )
          & ( c0_1 @ a572 )
          & ~ ( c1_1 @ a572 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c2_1 @ a573 )
          & ~ ( c0_1 @ a573 )
          & ~ ( c1_1 @ a573 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c2_1 @ a575 )
          & ~ ( c0_1 @ a575 )
          & ~ ( c3_1 @ a575 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a576 )
          & ~ ( c0_1 @ a576 )
          & ~ ( c3_1 @ a576 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c3_1 @ a577 )
          & ( c1_1 @ a577 )
          & ~ ( c0_1 @ a577 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a578 )
          & ~ ( c0_1 @ a578 )
          & ~ ( c1_1 @ a578 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c2_1 @ a581 )
          & ~ ( c1_1 @ a581 )
          & ~ ( c3_1 @ a581 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c3_1 @ a582 )
          & ~ ( c2_1 @ a582 )
          & ~ ( c1_1 @ a582 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a584 )
          & ( c1_1 @ a584 )
          & ~ ( c3_1 @ a584 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c0_1 @ a586 )
          & ( c1_1 @ a586 )
          & ~ ( c3_1 @ a586 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c2_1 @ a589 )
          & ( c3_1 @ a589 )
          & ~ ( c0_1 @ a589 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ ( c3_1 @ a590 )
          & ~ ( c0_1 @ a590 )
          & ~ ( c1_1 @ a590 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a591 )
          & ~ ( c2_1 @ a591 )
          & ~ ( c0_1 @ a591 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ~ ( c0_1 @ a594 )
          & ~ ( c3_1 @ a594 )
          & ~ ( c1_1 @ a594 ) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ( c0_1 @ a596 )
          & ~ ( c3_1 @ a596 )
          & ~ ( c2_1 @ a596 ) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ( c1_1 @ a536 )
          & ( c2_1 @ a536 )
          & ( c0_1 @ a536 ) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ( c0_1 @ a537 )
          & ~ ( c1_1 @ a537 )
          & ( c3_1 @ a537 ) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ( c2_1 @ a538 )
          & ( c1_1 @ a538 )
          & ( c3_1 @ a538 ) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ( c0_1 @ a541 )
          & ( c1_1 @ a541 )
          & ( c2_1 @ a541 ) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ~ ( c2_1 @ a544 )
          & ~ ( c3_1 @ a544 )
          & ( c1_1 @ a544 ) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ( c2_1 @ a547 )
          & ( c1_1 @ a547 )
          & ( c0_1 @ a547 ) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ( c3_1 @ a549 )
          & ( c2_1 @ a549 )
          & ( c1_1 @ a549 ) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ( c3_1 @ a551 )
          & ~ ( c0_1 @ a551 )
          & ( c2_1 @ a551 ) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ~ ( c2_1 @ a555 )
          & ( c3_1 @ a555 )
          & ( c0_1 @ a555 ) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ ( c2_1 @ a556 )
          & ( c1_1 @ a556 )
          & ( c3_1 @ a556 ) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ( c3_1 @ a557 )
          & ~ ( c1_1 @ a557 )
          & ( c0_1 @ a557 ) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ~ ( c3_1 @ a559 )
          & ( c0_1 @ a559 )
          & ( c2_1 @ a559 ) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ ( c3_1 @ a561 )
          & ~ ( c2_1 @ a561 )
          & ( c0_1 @ a561 ) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ ( c3_1 @ a562 )
          & ~ ( c0_1 @ a562 )
          & ( c1_1 @ a562 ) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ ( c2_1 @ a564 )
          & ( c0_1 @ a564 )
          & ( c1_1 @ a564 ) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ ( c3_1 @ a566 )
          & ~ ( c2_1 @ a566 )
          & ( c1_1 @ a566 ) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ ( c0_1 @ a568 )
          & ~ ( c1_1 @ a568 )
          & ( c2_1 @ a568 ) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ ( c3_1 @ a574 )
          & ( c0_1 @ a574 )
          & ( c1_1 @ a574 ) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ~ ( c2_1 @ a583 )
          & ( c0_1 @ a583 )
          & ( c3_1 @ a583 ) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ~ ( c0_1 @ a595 )
          & ( c2_1 @ a595 )
          & ( c1_1 @ a595 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c1_1 @ U )
              | ( c2_1 @ U )
              | ( c3_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ V )
              | ~ ( c1_1 @ V )
              | ~ ( c0_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c2_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c0_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X )
              | ( c1_1 @ X )
              | ~ ( c3_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c1_1 @ Y )
              | ~ ( c2_1 @ Y ) ) ) )
      & ( hskp33
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ( c3_1 @ Z )
              | ( c0_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X1 )
              | ~ ( c1_1 @ X1 )
              | ~ ( c0_1 @ X1 ) ) ) )
      & ( hskp34
        | ! [X2: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ( c2_1 @ X3 )
              | ( c3_1 @ X3 ) ) ) )
      & ( hskp35
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X4 )
              | ~ ( c2_1 @ X4 )
              | ~ ( c1_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c2_1 @ X5 ) ) ) )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X6 )
              | ~ ( c1_1 @ X6 )
              | ~ ( c0_1 @ X6 ) ) )
        | hskp1
        | hskp2 )
      & ( hskp36
        | hskp34
        | hskp3 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | hskp37
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c0_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X9 )
              | ( c0_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | hskp4
        | ! [X10: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 )
              | ~ ( c1_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 )
              | ( c2_1 @ X12 ) ) )
        | hskp5 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X13 )
              | ( c1_1 @ X13 )
              | ( c2_1 @ X13 ) ) )
        | hskp38
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 )
              | ( c0_1 @ X16 ) ) )
        | hskp6 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X17 )
              | ~ ( c1_1 @ X17 )
              | ( c0_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) )
        | hskp39 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) )
        | hskp7
        | hskp40 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 )
              | ( c1_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp8 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | hskp38 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c0_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ~ ( c3_1 @ X25 )
              | ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ~ ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) ) )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X27 )
              | ( c0_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp9
        | hskp41 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X29 )
              | ( c3_1 @ X29 )
              | ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) ) )
      & ( hskp42
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 )
              | ( c2_1 @ X32 ) ) ) )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ~ ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp43
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c0_1 @ X34 ) ) ) )
      & ( hskp10
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X35 )
              | ( c0_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X36 )
              | ~ ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) ) )
      & ( hskp44
        | hskp11
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c3_1 @ X37 )
              | ( c2_1 @ X37 ) ) ) )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X38 )
              | ( c0_1 @ X38 )
              | ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | hskp45 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X40 )
              | ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | hskp46
        | ! [X41: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ( c1_1 @ X41 ) ) ) )
      & ( hskp12
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ( c2_1 @ X42 )
              | ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ( c2_1 @ X43 ) ) ) )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ( c3_1 @ X45 ) ) )
        | hskp47 )
      & ( hskp13
        | hskp48
        | ! [X46: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X46 )
              | ( c1_1 @ X46 )
              | ( c0_1 @ X46 ) ) ) )
      & ( hskp14
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X47 )
              | ( c2_1 @ X47 )
              | ( c1_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp49
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 )
              | ( c1_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ( c2_1 @ X52 ) ) )
        | hskp15 )
      & ( hskp16
        | hskp17
        | hskp18 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ( c1_1 @ X53 ) ) )
        | hskp19
        | hskp50 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp20
        | hskp21 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | hskp22
        | hskp23 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X56 )
              | ( c3_1 @ X56 )
              | ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp34 )
      & ( hskp39
        | hskp24
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) ) )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 )
              | ( c2_1 @ X59 ) ) )
        | hskp25
        | ! [X60: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 ) ) ) )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c3_1 @ X61 )
              | ( c1_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) ) )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ( c2_1 @ X64 )
              | ( c1_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X65 )
              | ( c1_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp51 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X66 )
              | ( c0_1 @ X66 )
              | ( c1_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | hskp26 )
      & ( hskp6
        | hskp27
        | hskp4 )
      & ( hskp46
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X68 )
              | ( c2_1 @ X68 )
              | ( c0_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c0_1 @ X70 )
              | ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c0_1 @ X71 )
              | ( c2_1 @ X71 ) ) )
        | hskp28 )
      & ( hskp29
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 )
              | ( c1_1 @ X72 ) ) )
        | hskp30 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X73 )
              | ( c3_1 @ X73 )
              | ( c0_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp46 )
      & ( hskp40
        | hskp31
        | hskp52 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | hskp32
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a535 )
        & ( c0_1 @ a535 )
        & ~ ( c2_1 @ a535 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c2_1 @ a539 )
        & ~ ( c1_1 @ a539 )
        & ~ ( c0_1 @ a539 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a540 )
        & ( c1_1 @ a540 )
        & ~ ( c3_1 @ a540 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c1_1 @ a543 )
        & ~ ( c0_1 @ a543 )
        & ~ ( c3_1 @ a543 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c2_1 @ a545 )
        & ( c1_1 @ a545 )
        & ~ ( c0_1 @ a545 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c3_1 @ a546 )
        & ( c2_1 @ a546 )
        & ~ ( c1_1 @ a546 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c2_1 @ a548 )
        & ( c3_1 @ a548 )
        & ~ ( c0_1 @ a548 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a550 )
        & ( c3_1 @ a550 )
        & ~ ( c1_1 @ a550 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c3_1 @ a552 )
        & ~ ( c1_1 @ a552 )
        & ~ ( c2_1 @ a552 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a554 )
        & ~ ( c2_1 @ a554 )
        & ~ ( c1_1 @ a554 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c1_1 @ a558 )
        & ( c3_1 @ a558 )
        & ~ ( c0_1 @ a558 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a560 )
        & ~ ( c3_1 @ a560 )
        & ~ ( c0_1 @ a560 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a563 )
        & ~ ( c0_1 @ a563 )
        & ~ ( c2_1 @ a563 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a565 )
        & ( c2_1 @ a565 )
        & ~ ( c1_1 @ a565 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a567 )
        & ~ ( c1_1 @ a567 )
        & ~ ( c3_1 @ a567 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ ( c0_1 @ a569 )
        & ~ ( c1_1 @ a569 )
        & ~ ( c2_1 @ a569 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c3_1 @ a570 )
        & ( c1_1 @ a570 )
        & ~ ( c0_1 @ a570 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a571 )
        & ( c3_1 @ a571 )
        & ~ ( c2_1 @ a571 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c3_1 @ a572 )
        & ( c0_1 @ a572 )
        & ~ ( c1_1 @ a572 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c2_1 @ a573 )
        & ~ ( c0_1 @ a573 )
        & ~ ( c1_1 @ a573 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c2_1 @ a575 )
        & ~ ( c0_1 @ a575 )
        & ~ ( c3_1 @ a575 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a576 )
        & ~ ( c0_1 @ a576 )
        & ~ ( c3_1 @ a576 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c3_1 @ a577 )
        & ( c1_1 @ a577 )
        & ~ ( c0_1 @ a577 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a578 )
        & ~ ( c0_1 @ a578 )
        & ~ ( c1_1 @ a578 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c2_1 @ a581 )
        & ~ ( c1_1 @ a581 )
        & ~ ( c3_1 @ a581 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c3_1 @ a582 )
        & ~ ( c2_1 @ a582 )
        & ~ ( c1_1 @ a582 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a584 )
        & ( c1_1 @ a584 )
        & ~ ( c3_1 @ a584 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c0_1 @ a586 )
        & ( c1_1 @ a586 )
        & ~ ( c3_1 @ a586 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c2_1 @ a589 )
        & ( c3_1 @ a589 )
        & ~ ( c0_1 @ a589 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ ( c3_1 @ a590 )
        & ~ ( c0_1 @ a590 )
        & ~ ( c1_1 @ a590 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a591 )
        & ~ ( c2_1 @ a591 )
        & ~ ( c0_1 @ a591 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ ( c0_1 @ a594 )
        & ~ ( c3_1 @ a594 )
        & ~ ( c1_1 @ a594 ) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ( c0_1 @ a596 )
        & ~ ( c3_1 @ a596 )
        & ~ ( c2_1 @ a596 ) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ( c1_1 @ a536 )
        & ( c2_1 @ a536 )
        & ( c0_1 @ a536 ) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ( c0_1 @ a537 )
        & ~ ( c1_1 @ a537 )
        & ( c3_1 @ a537 ) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ( c2_1 @ a538 )
        & ( c1_1 @ a538 )
        & ( c3_1 @ a538 ) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ( c0_1 @ a541 )
        & ( c1_1 @ a541 )
        & ( c2_1 @ a541 ) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ ( c2_1 @ a544 )
        & ~ ( c3_1 @ a544 )
        & ( c1_1 @ a544 ) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ( c2_1 @ a547 )
        & ( c1_1 @ a547 )
        & ( c0_1 @ a547 ) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ( c3_1 @ a549 )
        & ( c2_1 @ a549 )
        & ( c1_1 @ a549 ) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ( c3_1 @ a551 )
        & ~ ( c0_1 @ a551 )
        & ( c2_1 @ a551 ) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ ( c2_1 @ a555 )
        & ( c3_1 @ a555 )
        & ( c0_1 @ a555 ) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ ( c2_1 @ a556 )
        & ( c1_1 @ a556 )
        & ( c3_1 @ a556 ) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ( c3_1 @ a557 )
        & ~ ( c1_1 @ a557 )
        & ( c0_1 @ a557 ) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ ( c3_1 @ a559 )
        & ( c0_1 @ a559 )
        & ( c2_1 @ a559 ) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ ( c3_1 @ a561 )
        & ~ ( c2_1 @ a561 )
        & ( c0_1 @ a561 ) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ ( c3_1 @ a562 )
        & ~ ( c0_1 @ a562 )
        & ( c1_1 @ a562 ) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ ( c2_1 @ a564 )
        & ( c0_1 @ a564 )
        & ( c1_1 @ a564 ) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ ( c3_1 @ a566 )
        & ~ ( c2_1 @ a566 )
        & ( c1_1 @ a566 ) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ ( c0_1 @ a568 )
        & ~ ( c1_1 @ a568 )
        & ( c2_1 @ a568 ) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ ( c3_1 @ a574 )
        & ( c0_1 @ a574 )
        & ( c1_1 @ a574 ) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ~ ( c2_1 @ a583 )
        & ( c0_1 @ a583 )
        & ( c3_1 @ a583 ) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ ( c0_1 @ a595 )
        & ( c2_1 @ a595 )
        & ( c1_1 @ a595 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c1_1 @ U )
            | ( c2_1 @ U )
            | ( c3_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ V )
            | ~ ( c1_1 @ V )
            | ~ ( c0_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c2_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c0_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X )
            | ( c1_1 @ X )
            | ~ ( c3_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c1_1 @ Y )
            | ~ ( c2_1 @ Y ) ) ) )
    & ( hskp33
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ( c3_1 @ Z )
            | ( c0_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X1 )
            | ~ ( c1_1 @ X1 )
            | ~ ( c0_1 @ X1 ) ) ) )
    & ( hskp34
      | ! [X2: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ( c2_1 @ X3 )
            | ( c3_1 @ X3 ) ) ) )
    & ( hskp35
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X4 )
            | ~ ( c2_1 @ X4 )
            | ~ ( c1_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c2_1 @ X5 ) ) ) )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X6 )
            | ~ ( c1_1 @ X6 )
            | ~ ( c0_1 @ X6 ) ) )
      | hskp1
      | hskp2 )
    & ( hskp36
      | hskp34
      | hskp3 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | hskp37
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c0_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X9 )
            | ( c0_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | hskp4
      | ! [X10: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 )
            | ~ ( c1_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 )
            | ( c2_1 @ X12 ) ) )
      | hskp5 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X13 )
            | ( c1_1 @ X13 )
            | ( c2_1 @ X13 ) ) )
      | hskp38
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 )
            | ( c0_1 @ X16 ) ) )
      | hskp6 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X17 )
            | ~ ( c1_1 @ X17 )
            | ( c0_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) )
      | hskp39 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) )
      | hskp7
      | hskp40 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 )
            | ( c1_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp8 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | hskp38 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c0_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ~ ( c3_1 @ X25 )
            | ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ~ ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) ) )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X27 )
            | ( c0_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp9
      | hskp41 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X29 )
            | ( c3_1 @ X29 )
            | ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) ) )
    & ( hskp42
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 )
            | ( c2_1 @ X32 ) ) ) )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ~ ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp43
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c0_1 @ X34 ) ) ) )
    & ( hskp10
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X35 )
            | ( c0_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X36 )
            | ~ ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) ) )
    & ( hskp44
      | hskp11
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c3_1 @ X37 )
            | ( c2_1 @ X37 ) ) ) )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X38 )
            | ( c0_1 @ X38 )
            | ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | hskp45 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X40 )
            | ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | hskp46
      | ! [X41: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ( c1_1 @ X41 ) ) ) )
    & ( hskp12
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ( c2_1 @ X42 )
            | ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ( c2_1 @ X43 ) ) ) )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ( c3_1 @ X45 ) ) )
      | hskp47 )
    & ( hskp13
      | hskp48
      | ! [X46: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X46 )
            | ( c1_1 @ X46 )
            | ( c0_1 @ X46 ) ) ) )
    & ( hskp14
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X47 )
            | ( c2_1 @ X47 )
            | ( c1_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp49
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 )
            | ( c1_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ( c2_1 @ X52 ) ) )
      | hskp15 )
    & ( hskp16
      | hskp17
      | hskp18 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ( c1_1 @ X53 ) ) )
      | hskp19
      | hskp50 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp20
      | hskp21 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | hskp22
      | hskp23 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X56 )
            | ( c3_1 @ X56 )
            | ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp34 )
    & ( hskp39
      | hskp24
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) ) )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 )
            | ( c2_1 @ X59 ) ) )
      | hskp25
      | ! [X60: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 ) ) ) )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c3_1 @ X61 )
            | ( c1_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) ) )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ( c2_1 @ X64 )
            | ( c1_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X65 )
            | ( c1_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp51 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X66 )
            | ( c0_1 @ X66 )
            | ( c1_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | hskp26 )
    & ( hskp6
      | hskp27
      | hskp4 )
    & ( hskp46
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X68 )
            | ( c2_1 @ X68 )
            | ( c0_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c0_1 @ X70 )
            | ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c0_1 @ X71 )
            | ( c2_1 @ X71 ) ) )
      | hskp28 )
    & ( hskp29
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 )
            | ( c1_1 @ X72 ) ) )
      | hskp30 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X73 )
            | ( c3_1 @ X73 )
            | ( c0_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp46 )
    & ( hskp40
      | hskp31
      | hskp52 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | hskp32
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl258,plain,
    ( ~ hskp0
    | ( c0_1 @ a535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( c0_1 @ a535 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl259,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a535 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp32
    | ( c0_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ( c0_1 @ a596 )
   <= ( c0_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl24,plain,
    ! [X37: $i,X38: $i] :
      ( ( c2_1 @ X37 )
      | ( c0_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0
      | hskp45 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl3502,plain,
    ( ( ( c2_1 @ a596 )
      | ~ ( c1_1 @ a596 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c0_1 @ a596 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl353]) ).

thf('2',plain,
    ( ~ ( c1_1 @ a596 )
    | ~ ( c0_1 @ a596 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ( c2_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl3502]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( c2_1 @ X2 )
      | ( c3_1 @ X2 )
      | ( c0_1 @ X2 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp46 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl40,plain,
    ! [X68: $i,X69: $i] :
      ( ~ ( c0_1 @ X68 )
      | ( c1_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp37
      | ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl418,plain,
    ( ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl2841,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl418]) ).

thf(zip_derived_cl2852,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2841]) ).

thf(zip_derived_cl237,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a546 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl826,plain,
    ( ~ ( c3_1 @ a546 )
   <= ~ ( c3_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl15724,plain,
    ( ( ~ ( c2_1 @ a546 )
      | ( c1_1 @ a546 ) )
   <= ( ~ ( c3_1 @ a546 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2852,zip_derived_cl826]) ).

thf('3',plain,
    ( ~ ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) )
    | ~ ( c2_1 @ a546 )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ( c3_1 @ a546 )
    | ( c1_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl15724]) ).

thf(zip_derived_cl32,plain,
    ! [X53: $i,X54: $i] :
      ( ~ ( c2_1 @ X53 )
      | ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp38 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp38
    | ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl268_001,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ! [X35: $i,X36: $i] :
      ( ~ ( c2_1 @ X35 )
      | ( c0_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ndr1_0
      | hskp46
      | ~ ( c2_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ( c1_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ( ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1403,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl349]) ).

thf(zip_derived_cl1411,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1403]) ).

thf(zip_derived_cl826_002,plain,
    ( ~ ( c3_1 @ a546 )
   <= ~ ( c3_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl5779,plain,
    ( ( ~ ( c2_1 @ a546 )
      | ( c1_1 @ a546 ) )
   <= ( ~ ( c3_1 @ a546 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1411,zip_derived_cl826]) ).

thf('5',plain,
    ( ~ ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ~ ( c2_1 @ a546 )
    | ( c3_1 @ a546 )
    | ( c1_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl5779]) ).

thf(zip_derived_cl268_003,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( c1_1 @ X0 )
      | ( c3_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ndr1_0
      | hskp32
      | ( c3_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c0_1 @ X1 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl876,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl260]) ).

thf(zip_derived_cl877,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl876]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp44
    | ~ ( c3_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl514,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl1732,plain,
    ( ( ~ ( c2_1 @ a559 )
      | ~ ( c1_1 @ a559 ) )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl514]) ).

thf('6',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
    | ~ ( c1_1 @ a559 )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ~ ( c2_1 @ a559 )
    | ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl1732]) ).

thf('7',plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
    | hskp46
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl215,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a560 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl782,plain,
    ( ~ ( c0_1 @ a560 )
   <= ~ ( c0_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl354,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2461,plain,
    ( ( ( c2_1 @ a560 )
      | ( c3_1 @ a560 ) )
   <= ( ~ ( c0_1 @ a560 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl782,zip_derived_cl354]) ).

thf('8',plain,
    ( ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c2_1 @ a560 )
    | ( c0_1 @ a560 )
    | ( c3_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl2461]) ).

thf(zip_derived_cl214,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a560 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl780,plain,
    ( ~ ( c3_1 @ a560 )
   <= ~ ( c3_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl214]) ).

thf(zip_derived_cl261,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2440,plain,
    ( ( ~ ( c1_1 @ a560 )
      | ~ ( c2_1 @ a560 ) )
   <= ( ~ ( c3_1 @ a560 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl780,zip_derived_cl261]) ).

thf('9',plain,
    ( ~ ( c2_1 @ a560 )
    | ( c3_1 @ a560 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl2440]) ).

thf(zip_derived_cl514_004,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl9,plain,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ~ ( c0_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ( c1_1 @ X13 )
      | ~ ndr1_0
      | ( c1_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X15 )
      | ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1729,plain,
    ( ( ( c1_1 @ a559 )
      | ~ ( c2_1 @ a559 ) )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl295]) ).

thf('10',plain,
    ( ( c1_1 @ a559 )
    | ( c3_1 @ a559 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl1729]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp28
    | ~ ( c0_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c0_1 @ a589 )
   <= ~ ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl350,plain,
    ( ! [X35: $i] :
        ( ~ ( c2_1 @ X35 )
        | ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c2_1 @ X35 )
        | ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1957,plain,
    ( ( ~ ( c2_1 @ a589 )
      | ~ ( c1_1 @ a589 ) )
   <= ( ~ ( c0_1 @ a589 )
      & ! [X35: $i] :
          ( ~ ( c2_1 @ X35 )
          | ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl350]) ).

thf('11',plain,
    ( ~ ( c1_1 @ a589 )
    | ( c0_1 @ a589 )
    | ~ ! [X35: $i] :
          ( ~ ( c2_1 @ X35 )
          | ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
    | ~ ( c2_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl1957]) ).

thf(zip_derived_cl235,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl822,plain,
    ( ~ ( c0_1 @ a548 )
   <= ~ ( c0_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl4,plain,
    ! [X5: $i,X6: $i] :
      ( ( c2_1 @ X5 )
      | ( c0_1 @ X5 )
      | ( c1_1 @ X5 )
      | ~ ndr1_0
      | ( c1_1 @ X6 )
      | ( c0_1 @ X6 )
      | ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275,plain,
    ( ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2589,plain,
    ( ( ( c1_1 @ a548 )
      | ( c2_1 @ a548 ) )
   <= ( ~ ( c0_1 @ a548 )
      & ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl275]) ).

thf('12',plain,
    ( ~ ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ( c1_1 @ a548 )
    | ( c2_1 @ a548 )
    | ( c0_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl2589]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp49
    | ~ ( c0_1 @ a568 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl474,plain,
    ( ~ ( c0_1 @ a568 )
   <= ~ ( c0_1 @ a568 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl268_005,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1598,plain,
    ( ( ~ ( c2_1 @ a568 )
      | ( c3_1 @ a568 ) )
   <= ( ~ ( c0_1 @ a568 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl268]) ).

thf(zip_derived_cl9277,plain,
    ( ( c3_1 @ a568 )
   <= ( c3_1 @ a568 ) ),
    inference(split,[status(esa)],[zip_derived_cl1598]) ).

thf(zip_derived_cl17,plain,
    ! [X24: $i,X25: $i] :
      ( ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ( c1_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl326,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl9304,plain,
    ( ( ~ ( c2_1 @ a568 )
      | ( c1_1 @ a568 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a568 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9277,zip_derived_cl326]) ).

thf('13',plain,
    ( ~ ( c3_1 @ a568 )
    | ~ ( c2_1 @ a568 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ( c1_1 @ a568 ) ),
    inference(split,[status(esa)],[zip_derived_cl9304]) ).

thf('14',plain,
    ( ~ ( c0_1 @ a568 )
    | ~ hskp49 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp49
    | ~ ( c1_1 @ a568 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a568 )
    | ~ hskp49 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp49
    | ( c2_1 @ a568 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ( c2_1 @ a568 )
    | ~ hskp49 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl18,plain,
    ! [X26: $i,X27: $i] :
      ( ( c2_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | hskp49
      | ( c2_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( hskp49
    | ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl58,plain,
    ( ~ hskp50
    | ( c0_1 @ a574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ( c0_1 @ a574 )
   <= ( c0_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl11,plain,
    ! [X18: $i] :
      ( hskp39
      | hskp24
      | ( c3_1 @ X18 )
      | ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2986,plain,
    ( ( ( c3_1 @ a574 )
      | ( c2_1 @ a574 ) )
   <= ( ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c0_1 @ a574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl302]) ).

thf('18',plain,
    ( ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c2_1 @ a574 )
    | ~ ( c0_1 @ a574 )
    | ( c3_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl2986]) ).

thf('19',plain,
    ( ( c3_1 @ a568 )
    | ~ ( c2_1 @ a568 )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ( c0_1 @ a568 ) ),
    inference(split,[status(esa)],[zip_derived_cl1598]) ).

thf(zip_derived_cl229,plain,
    ( ~ hskp7
    | ( c0_1 @ a550 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl810,plain,
    ( ( c0_1 @ a550 )
   <= ( c0_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl8,plain,
    ! [X11: $i,X12: $i] :
      ( ( c3_1 @ X11 )
      | ( c2_1 @ X11 )
      | ( c1_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp51 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3803,plain,
    ( ( ( c1_1 @ a550 )
      | ~ ( c3_1 @ a550 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c0_1 @ a550 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl810,zip_derived_cl290]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a550 )
    | ( c1_1 @ a550 )
    | ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl3803]) ).

thf(zip_derived_cl38,plain,
    ! [X64: $i,X65: $i] :
      ( ( c3_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl55,plain,
    ( ~ hskp51
    | ( c3_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl462,plain,
    ( ( c3_1 @ a583 )
   <= ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl5,plain,
    ! [X7: $i,X8: $i] :
      ( hskp46
      | ~ ( c3_1 @ X7 )
      | ( c2_1 @ X7 )
      | ( c0_1 @ X7 )
      | ~ ndr1_0
      | ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2977,plain,
    ( ( ( c2_1 @ a583 )
      | ~ ( c1_1 @ a583 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl279]) ).

thf('22',plain,
    ( ~ ( c1_1 @ a583 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a583 )
    | ( c2_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl2977]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp41
    | ( c0_1 @ a555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c0_1 @ a555 )
   <= ( c0_1 @ a555 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl290_006,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3199,plain,
    ( ( ( c1_1 @ a555 )
      | ~ ( c3_1 @ a555 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c0_1 @ a555 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl290]) ).

thf('23',plain,
    ( ( c1_1 @ a555 )
    | ~ ( c0_1 @ a555 )
    | ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a555 ) ),
    inference(split,[status(esa)],[zip_derived_cl3199]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp41
    | ~ ( c2_1 @ a555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ hskp41
    | ~ ( c2_1 @ a555 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp41
    | ( c3_1 @ a555 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ( c3_1 @ a555 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('26',plain,
    ( ( c0_1 @ a555 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl30,plain,
    ! [X49: $i] :
      ( ~ ( c1_1 @ X49 )
      | ( c0_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp9
      | hskp41 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp41
    | hskp9
    | ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl246,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl844,plain,
    ( ~ ( c0_1 @ a543 )
   <= ~ ( c0_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl20,plain,
    ! [X30: $i] :
      ( hskp13
      | hskp48
      | ~ ( c2_1 @ X30 )
      | ( c1_1 @ X30 )
      | ( c0_1 @ X30 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl2676,plain,
    ( ( ~ ( c2_1 @ a543 )
      | ( c1_1 @ a543 ) )
   <= ( ~ ( c0_1 @ a543 )
      & ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl337]) ).

thf('28',plain,
    ( ~ ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) )
    | ~ ( c2_1 @ a543 )
    | ( c1_1 @ a543 )
    | ( c0_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl2676]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a570 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ~ ( c0_1 @ a570 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl742,plain,
    ( ~ ( c0_1 @ a570 )
   <= ~ ( c0_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl377,plain,
    ( ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl2331,plain,
    ( ( ~ ( c1_1 @ a570 )
      | ~ ( c3_1 @ a570 ) )
   <= ( ~ ( c0_1 @ a570 )
      & ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl742,zip_derived_cl377]) ).

thf('30',plain,
    ( ~ ( c3_1 @ a570 )
    | ~ ( c1_1 @ a570 )
    | ~ ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ( c0_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl2331]) ).

thf(zip_derived_cl377_007,plain,
    ( ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl12,plain,
    ! [X19: $i,X20: $i] :
      ( ~ ( c1_1 @ X19 )
      | ( c3_1 @ X19 )
      | ( c0_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | hskp34 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2158,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl306]) ).

thf(zip_derived_cl2190,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2158]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp40
    | ( c3_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl546,plain,
    ( ( c3_1 @ a551 )
   <= ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl9102,plain,
    ( ( ~ ( c1_1 @ a551 )
      | ~ ( c2_1 @ a551 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
      & ( c3_1 @ a551 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2190,zip_derived_cl546]) ).

thf('31',plain,
    ( ~ ( c1_1 @ a551 )
    | ~ ( c2_1 @ a551 )
    | ~ ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ~ ( c3_1 @ a551 )
    | ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9102]) ).

thf(zip_derived_cl844_008,plain,
    ( ~ ( c0_1 @ a543 )
   <= ~ ( c0_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl275_009,plain,
    ( ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2671,plain,
    ( ( ( c1_1 @ a543 )
      | ( c2_1 @ a543 ) )
   <= ( ~ ( c0_1 @ a543 )
      & ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl275]) ).

thf('32',plain,
    ( ( c2_1 @ a543 )
    | ( c0_1 @ a543 )
    | ~ ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ( c1_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl2671]) ).

thf(zip_derived_cl245,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ~ ( c1_1 @ a543 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl221,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl794,plain,
    ( ~ ( c0_1 @ a554 )
   <= ~ ( c0_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl21,plain,
    ! [X31: $i,X32: $i] :
      ( ( c0_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2510,plain,
    ( ( ~ ( c2_1 @ a554 )
      | ~ ( c3_1 @ a554 ) )
   <= ( ~ ( c0_1 @ a554 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl794,zip_derived_cl341]) ).

thf(zip_derived_cl7043,plain,
    ( ~ ( c3_1 @ a554 )
   <= ~ ( c3_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl2510]) ).

thf(zip_derived_cl291,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl7060,plain,
    ( ( ( c2_1 @ a554 )
      | ( c1_1 @ a554 ) )
   <= ( ~ ( c3_1 @ a554 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7043,zip_derived_cl291]) ).

thf('34',plain,
    ( ( c3_1 @ a554 )
    | ( c2_1 @ a554 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c1_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl7060]) ).

thf(zip_derived_cl794_010,plain,
    ( ~ ( c0_1 @ a554 )
   <= ~ ( c0_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl268_011,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2503,plain,
    ( ( ~ ( c2_1 @ a554 )
      | ( c3_1 @ a554 ) )
   <= ( ~ ( c0_1 @ a554 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl794,zip_derived_cl268]) ).

thf(zip_derived_cl13094,plain,
    ( ( c3_1 @ a554 )
   <= ( c3_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl2503]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i] :
      ( hskp29
      | ( c2_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl271,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl13125,plain,
    ( ( ( c2_1 @ a554 )
      | ( c1_1 @ a554 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a554 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13094,zip_derived_cl271]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a554 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c2_1 @ a554 )
    | ( c1_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl13125]) ).

thf(zip_derived_cl29,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c2_1 @ X47 )
      | ( c3_1 @ X47 )
      | ( c1_1 @ X47 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl44,plain,
    ! [X73: $i,X74: $i] :
      ( hskp34
      | ~ ( c1_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ( c2_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( hskp34
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
    | ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp34
    | ( c3_1 @ a537 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ( c3_1 @ a537 )
   <= ( c3_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl271_012,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3445,plain,
    ( ( ( c2_1 @ a537 )
      | ( c1_1 @ a537 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a537 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl271]) ).

thf('38',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c2_1 @ a537 )
    | ( c1_1 @ a537 )
    | ~ ( c3_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl3445]) ).

thf(zip_derived_cl462_013,plain,
    ( ( c3_1 @ a583 )
   <= ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl271_014,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl2976,plain,
    ( ( ( c2_1 @ a583 )
      | ( c1_1 @ a583 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl271]) ).

thf('39',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c1_1 @ a583 )
    | ( c2_1 @ a583 )
    | ~ ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl2976]) ).

thf('40',plain,
    ( ~ ( c3_1 @ a546 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl238,plain,
    ( ~ hskp5
    | ( c2_1 @ a546 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ( c2_1 @ a546 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl238]) ).

thf(zip_derived_cl239,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a546 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a546 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl239]) ).

thf(zip_derived_cl826_015,plain,
    ( ~ ( c3_1 @ a546 )
   <= ~ ( c3_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl295_016,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2614,plain,
    ( ( ( c1_1 @ a546 )
      | ~ ( c2_1 @ a546 ) )
   <= ( ~ ( c3_1 @ a546 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl826,zip_derived_cl295]) ).

thf('43',plain,
    ( ( c3_1 @ a546 )
    | ( c1_1 @ a546 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a546 ) ),
    inference(split,[status(esa)],[zip_derived_cl2614]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp34
    | ( c0_1 @ a537 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ( c0_1 @ a537 )
   <= ( c0_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl294,plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl3431,plain,
    ( ( ( c2_1 @ a537 )
      | ~ ( c3_1 @ a537 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c0_1 @ a537 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl294]) ).

thf('44',plain,
    ( ~ ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ( c2_1 @ a537 )
    | ~ ( c3_1 @ a537 )
    | ~ ( c0_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl3431]) ).

thf(zip_derived_cl598_017,plain,
    ( ( c3_1 @ a537 )
   <= ( c3_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl326_018,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3447,plain,
    ( ( ~ ( c2_1 @ a537 )
      | ( c1_1 @ a537 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a537 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl326]) ).

thf('45',plain,
    ( ~ ( c2_1 @ a537 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ( c1_1 @ a537 )
    | ~ ( c3_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl3447]) ).

thf(zip_derived_cl594_019,plain,
    ( ( c0_1 @ a537 )
   <= ( c0_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl15,plain,
    ! [X23: $i] :
      ( ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ( c1_1 @ X23 )
      | ~ ndr1_0
      | hskp19
      | hskp50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3434,plain,
    ( ( ( c2_1 @ a537 )
      | ( c1_1 @ a537 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ( c0_1 @ a537 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl318]) ).

thf('46',plain,
    ( ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ( c2_1 @ a537 )
    | ( c1_1 @ a537 )
    | ~ ( c0_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl3434]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a554 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl222,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a554 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl223,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a554 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a554 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl794_020,plain,
    ( ~ ( c0_1 @ a554 )
   <= ~ ( c0_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl275_021,plain,
    ( ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2504,plain,
    ( ( ( c1_1 @ a554 )
      | ( c2_1 @ a554 ) )
   <= ( ~ ( c0_1 @ a554 )
      & ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl794,zip_derived_cl275]) ).

thf('50',plain,
    ( ( c0_1 @ a554 )
    | ( c2_1 @ a554 )
    | ~ ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ( c1_1 @ a554 ) ),
    inference(split,[status(esa)],[zip_derived_cl2504]) ).

thf(zip_derived_cl243,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl838,plain,
    ( ~ ( c0_1 @ a545 )
   <= ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl341_022,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2648,plain,
    ( ( ~ ( c2_1 @ a545 )
      | ~ ( c3_1 @ a545 ) )
   <= ( ~ ( c0_1 @ a545 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl341]) ).

thf(zip_derived_cl7560,plain,
    ( ~ ( c3_1 @ a545 )
   <= ~ ( c3_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2648]) ).

thf(zip_derived_cl325,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_cl17]) ).

thf(zip_derived_cl7580,plain,
    ( ( ~ ( c1_1 @ a545 )
      | ( c2_1 @ a545 ) )
   <= ( ~ ( c3_1 @ a545 )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7560,zip_derived_cl325]) ).

thf('51',plain,
    ( ~ ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c3_1 @ a545 )
    | ( c2_1 @ a545 )
    | ~ ( c1_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl7580]) ).

thf(zip_derived_cl838_023,plain,
    ( ~ ( c0_1 @ a545 )
   <= ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl354_024,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2650,plain,
    ( ( ( c2_1 @ a545 )
      | ( c3_1 @ a545 ) )
   <= ( ~ ( c0_1 @ a545 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl354]) ).

thf('52',plain,
    ( ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a545 )
    | ( c0_1 @ a545 )
    | ( c2_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2650]) ).

thf(zip_derived_cl39,plain,
    ! [X66: $i,X67: $i] :
      ( ( c3_1 @ X66 )
      | ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | hskp4
      | ~ ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( hskp4
    | ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl35,plain,
    ! [X58: $i,X59: $i] :
      ( ( c3_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ( c0_1 @ X58 )
      | ~ ndr1_0
      | ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | hskp39 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( hskp39
    | ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp26
    | ( c1_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl660,plain,
    ( ( c1_1 @ a584 )
   <= ( c1_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl325_025,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_cl17]) ).

thf(zip_derived_cl279_026,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1205,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl279]) ).

thf(zip_derived_cl1218,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1205]) ).

thf(zip_derived_cl268_027,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl306_028,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1090,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl306]) ).

thf(zip_derived_cl1095,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1090]) ).

thf(zip_derived_cl267,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1116,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1095,zip_derived_cl267]) ).

thf(zip_derived_cl1119,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1116]) ).

thf(zip_derived_cl1386,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1218,zip_derived_cl1119]) ).

thf(zip_derived_cl1393,plain,
    ( ! [X0: $i] :
        ~ ( c1_1 @ X0 )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1386]) ).

thf('55',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a584 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl660,zip_derived_cl1393]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp40
    | ~ ( c0_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( c0_1 @ a551 )
   <= ~ ( c0_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl7,plain,
    ! [X9: $i,X10: $i] :
      ( ~ ( c3_1 @ X9 )
      | ( c0_1 @ X9 )
      | ( c1_1 @ X9 )
      | ~ ndr1_0
      | ( c0_1 @ X10 )
      | ( c3_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl287,plain,
    ( ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1771,plain,
    ( ( ~ ( c3_1 @ a551 )
      | ( c1_1 @ a551 ) )
   <= ( ~ ( c0_1 @ a551 )
      & ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl287]) ).

thf('56',plain,
    ( ( c1_1 @ a551 )
    | ~ ( c3_1 @ a551 )
    | ~ ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) )
    | ( c0_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl1771]) ).

thf(zip_derived_cl1218_029,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1205]) ).

thf(zip_derived_cl261_030,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl267_031,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl873,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl267]) ).

thf(zip_derived_cl874,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl873]) ).

thf(zip_derived_cl1382,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1218,zip_derived_cl874]) ).

thf(zip_derived_cl1390,plain,
    ( ! [X0: $i] :
        ~ ( c1_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1382]) ).

thf(zip_derived_cl660_032,plain,
    ( ( c1_1 @ a584 )
   <= ( c1_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('57',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a584 )
    | ~ ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1390,zip_derived_cl660]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp33
    | ( c0_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ( c0_1 @ a536 )
   <= ( c0_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl260_033,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl3484,plain,
    ( ( ( c3_1 @ a536 )
      | ~ ( c1_1 @ a536 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ( c0_1 @ a536 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl260]) ).

thf(zip_derived_cl13829,plain,
    ( ( c3_1 @ a536 )
   <= ( c3_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl3484]) ).

thf(zip_derived_cl267_034,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl13859,plain,
    ( ( ~ ( c1_1 @ a536 )
      | ~ ( c2_1 @ a536 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a536 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13829,zip_derived_cl267]) ).

thf('58',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a536 )
    | ~ ( c2_1 @ a536 )
    | ~ ( c1_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl13859]) ).

thf(zip_derived_cl606_035,plain,
    ( ( c0_1 @ a536 )
   <= ( c0_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl26,plain,
    ! [X40: $i,X41: $i] :
      ( hskp10
      | ~ ( c2_1 @ X40 )
      | ( c0_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ~ ( c0_1 @ X41 )
        | ~ ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl3492,plain,
    ( ( ~ ( c3_1 @ a536 )
      | ~ ( c2_1 @ a536 ) )
   <= ( ! [X41: $i] :
          ( ~ ( c0_1 @ X41 )
          | ~ ( c3_1 @ X41 )
          | ~ ( c2_1 @ X41 ) )
      & ( c0_1 @ a536 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl361]) ).

thf(zip_derived_cl8467,plain,
    ( ~ ( c3_1 @ a536 )
   <= ~ ( c3_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl3492]) ).

thf(zip_derived_cl261_036,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl8469,plain,
    ( ( ~ ( c1_1 @ a536 )
      | ~ ( c2_1 @ a536 ) )
   <= ( ~ ( c3_1 @ a536 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8467,zip_derived_cl261]) ).

thf('59',plain,
    ( ( c3_1 @ a536 )
    | ~ ( c2_1 @ a536 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl8469]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp47
    | ( c0_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl492,plain,
    ( ( c0_1 @ a564 )
   <= ( c0_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl353_037,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl3053,plain,
    ( ( ( c2_1 @ a564 )
      | ~ ( c1_1 @ a564 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c0_1 @ a564 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl353]) ).

thf('60',plain,
    ( ~ ( c0_1 @ a564 )
    | ( c2_1 @ a564 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c1_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl3053]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp47
    | ~ ( c2_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a564 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('62',plain,
    ( ( c0_1 @ a564 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp47
    | ( c1_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ( c1_1 @ a564 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf('64',plain,
    ( hskp47
    | ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl646_038,plain,
    ( ~ ( c0_1 @ a589 )
   <= ~ ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl337_039,plain,
    ( ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1955,plain,
    ( ( ~ ( c2_1 @ a589 )
      | ( c1_1 @ a589 ) )
   <= ( ~ ( c0_1 @ a589 )
      & ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl337]) ).

thf('65',plain,
    ( ~ ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) )
    | ( c1_1 @ a589 )
    | ~ ( c2_1 @ a589 )
    | ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl1955]) ).

thf(zip_derived_cl646_040,plain,
    ( ~ ( c0_1 @ a589 )
   <= ~ ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl341_041,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1956,plain,
    ( ( ~ ( c2_1 @ a589 )
      | ~ ( c3_1 @ a589 ) )
   <= ( ~ ( c0_1 @ a589 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl341]) ).

thf('66',plain,
    ( ~ ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ( c2_1 @ a589 )
    | ( c0_1 @ a589 )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl1956]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp28
    | ( c2_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c2_1 @ a589 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a569 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl746,plain,
    ( ~ ( c0_1 @ a569 )
   <= ~ ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl354_042,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2352,plain,
    ( ( ( c2_1 @ a569 )
      | ( c3_1 @ a569 ) )
   <= ( ~ ( c0_1 @ a569 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl354]) ).

thf('68',plain,
    ( ( c3_1 @ a569 )
    | ( c0_1 @ a569 )
    | ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c2_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl2352]) ).

thf(zip_derived_cl746_043,plain,
    ( ~ ( c0_1 @ a569 )
   <= ~ ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl275_044,plain,
    ( ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2344,plain,
    ( ( ( c1_1 @ a569 )
      | ( c2_1 @ a569 ) )
   <= ( ~ ( c0_1 @ a569 )
      & ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl275]) ).

thf('69',plain,
    ( ( c0_1 @ a569 )
    | ( c2_1 @ a569 )
    | ~ ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ( c1_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl2344]) ).

thf(zip_derived_cl746_045,plain,
    ( ~ ( c0_1 @ a569 )
   <= ~ ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl341_046,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2350,plain,
    ( ( ~ ( c2_1 @ a569 )
      | ~ ( c3_1 @ a569 ) )
   <= ( ~ ( c0_1 @ a569 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl341]) ).

thf(zip_derived_cl6480,plain,
    ( ~ ( c3_1 @ a569 )
   <= ~ ( c3_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl2350]) ).

thf(zip_derived_cl291_047,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl6494,plain,
    ( ( ( c2_1 @ a569 )
      | ( c1_1 @ a569 ) )
   <= ( ~ ( c3_1 @ a569 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6480,zip_derived_cl291]) ).

thf('70',plain,
    ( ( c3_1 @ a569 )
    | ( c2_1 @ a569 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c1_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl6494]) ).

thf(zip_derived_cl746_048,plain,
    ( ~ ( c0_1 @ a569 )
   <= ~ ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl268_049,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2343,plain,
    ( ( ~ ( c2_1 @ a569 )
      | ( c3_1 @ a569 ) )
   <= ( ~ ( c0_1 @ a569 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl268]) ).

thf(zip_derived_cl12896,plain,
    ( ( c3_1 @ a569 )
   <= ( c3_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl2343]) ).

thf(zip_derived_cl271_050,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl12927,plain,
    ( ( ( c2_1 @ a569 )
      | ( c1_1 @ a569 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a569 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12896,zip_derived_cl271]) ).

thf('71',plain,
    ( ~ ( c3_1 @ a569 )
    | ( c2_1 @ a569 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c1_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl12927]) ).

thf('72',plain,
    ( ~ ( c0_1 @ a569 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a569 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c1_1 @ a569 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a569 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c2_1 @ a569 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf('75',plain,
    ( hskp15
    | ! [X25: $i] :
        ( ( c3_1 @ X25 )
        | ~ ( c1_1 @ X25 )
        | ( c2_1 @ X25 ) )
    | ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp37
    | ~ ( c3_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ~ ( c3_1 @ a544 )
   <= ~ ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl325_051,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_cl17]) ).

thf(zip_derived_cl1801,plain,
    ( ( ~ ( c1_1 @ a544 )
      | ( c2_1 @ a544 ) )
   <= ( ~ ( c3_1 @ a544 )
      & ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl325]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a544 )
    | ( c2_1 @ a544 )
    | ~ ! [X25: $i] :
          ( ( c3_1 @ X25 )
          | ~ ( c1_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl1801]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( c3_1 @ a572 )
   <= ~ ( c3_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl295_052,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2292,plain,
    ( ( ( c1_1 @ a572 )
      | ~ ( c2_1 @ a572 ) )
   <= ( ~ ( c3_1 @ a572 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl295]) ).

thf('77',plain,
    ( ( c3_1 @ a572 )
    | ~ ( c2_1 @ a572 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) )
    | ( c1_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl2292]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp18
    | ( c0_1 @ a572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl724,plain,
    ( ( c0_1 @ a572 )
   <= ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl418_053,plain,
    ( ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl3668,plain,
    ( ( ( c1_1 @ a572 )
      | ( c3_1 @ a572 ) )
   <= ( ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) )
      & ( c0_1 @ a572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl418]) ).

thf('78',plain,
    ( ~ ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) )
    | ~ ( c0_1 @ a572 )
    | ( c3_1 @ a572 )
    | ( c1_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl3668]) ).

thf('79',plain,
    ( ~ hskp7
    | ( c0_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp17
    | ( c0_1 @ a571 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ hskp17
    | ( c0_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl730,plain,
    ( ( c0_1 @ a571 )
   <= ( c0_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl318_054,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3675,plain,
    ( ( ( c2_1 @ a571 )
      | ( c1_1 @ a571 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ( c0_1 @ a571 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl318]) ).

thf('81',plain,
    ( ( c1_1 @ a571 )
    | ~ ( c0_1 @ a571 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ( c2_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl3675]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp26
    | ( c0_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ( c0_1 @ a584 )
   <= ( c0_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl260_055,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl3568,plain,
    ( ( ( c3_1 @ a584 )
      | ~ ( c1_1 @ a584 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ( c0_1 @ a584 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl260]) ).

thf('82',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
    | ~ ( c0_1 @ a584 )
    | ( c3_1 @ a584 )
    | ~ ( c1_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl3568]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl716,plain,
    ( ~ ( c0_1 @ a573 )
   <= ~ ( c0_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl341_056,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2268,plain,
    ( ( ~ ( c2_1 @ a573 )
      | ~ ( c3_1 @ a573 ) )
   <= ( ~ ( c0_1 @ a573 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl341]) ).

thf(zip_derived_cl6105,plain,
    ( ~ ( c3_1 @ a573 )
   <= ~ ( c3_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl2268]) ).

thf(zip_derived_cl291_057,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl6117,plain,
    ( ( ( c2_1 @ a573 )
      | ( c1_1 @ a573 ) )
   <= ( ~ ( c3_1 @ a573 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6105,zip_derived_cl291]) ).

thf('83',plain,
    ( ( c3_1 @ a573 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c2_1 @ a573 )
    | ( c1_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl6117]) ).

thf(zip_derived_cl716_058,plain,
    ( ~ ( c0_1 @ a573 )
   <= ~ ( c0_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl287_059,plain,
    ( ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2264,plain,
    ( ( ~ ( c3_1 @ a573 )
      | ( c1_1 @ a573 ) )
   <= ( ~ ( c0_1 @ a573 )
      & ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl287]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a573 )
    | ( c0_1 @ a573 )
    | ~ ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) )
    | ( c1_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl2264]) ).

thf('85',plain,
    ( hskp26
    | ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl57,plain,
    ( ~ hskp50
    | ~ ( c3_1 @ a574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ~ ( c3_1 @ a574 )
   <= ~ ( c3_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl261_060,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1586,plain,
    ( ( ~ ( c1_1 @ a574 )
      | ~ ( c2_1 @ a574 ) )
   <= ( ~ ( c3_1 @ a574 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl261]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a574 )
    | ( c3_1 @ a574 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl1586]) ).

thf(zip_derived_cl468_061,plain,
    ( ( c0_1 @ a574 )
   <= ( c0_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl353_062,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2990,plain,
    ( ( ( c2_1 @ a574 )
      | ~ ( c1_1 @ a574 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c0_1 @ a574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl353]) ).

thf('87',plain,
    ( ( c2_1 @ a574 )
    | ~ ( c0_1 @ a574 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c1_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl2990]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ ( c3_1 @ a584 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl662,plain,
    ( ~ ( c3_1 @ a584 )
   <= ~ ( c3_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl261_063,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2001,plain,
    ( ( ~ ( c1_1 @ a584 )
      | ~ ( c2_1 @ a584 ) )
   <= ( ~ ( c3_1 @ a584 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl662,zip_derived_cl261]) ).

thf('89',plain,
    ( ~ ( c2_1 @ a584 )
    | ( c3_1 @ a584 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl2001]) ).

thf('90',plain,
    ( ( c0_1 @ a584 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('91',plain,
    ( ( c1_1 @ a584 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl658_064,plain,
    ( ( c0_1 @ a584 )
   <= ( c0_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl353_065,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl3575,plain,
    ( ( ( c2_1 @ a584 )
      | ~ ( c1_1 @ a584 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c0_1 @ a584 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl353]) ).

thf('92',plain,
    ( ( c2_1 @ a584 )
    | ~ ( c0_1 @ a584 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c1_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl3575]) ).

thf(zip_derived_cl49,plain,
    ( ~ hskp52
    | ~ ( c0_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ~ ( c0_1 @ a595 )
   <= ~ ( c0_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl268_066,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1556,plain,
    ( ( ~ ( c2_1 @ a595 )
      | ( c3_1 @ a595 ) )
   <= ( ~ ( c0_1 @ a595 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl268]) ).

thf(zip_derived_cl7664,plain,
    ( ( c3_1 @ a595 )
   <= ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1556]) ).

thf(zip_derived_cl267_067,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl7686,plain,
    ( ( ~ ( c1_1 @ a595 )
      | ~ ( c2_1 @ a595 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a595 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7664,zip_derived_cl267]) ).

thf('93',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a595 )
    | ~ ( c2_1 @ a595 )
    | ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl7686]) ).

thf(zip_derived_cl450_068,plain,
    ( ~ ( c0_1 @ a595 )
   <= ~ ( c0_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl341_069,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1563,plain,
    ( ( ~ ( c2_1 @ a595 )
      | ~ ( c3_1 @ a595 ) )
   <= ( ~ ( c0_1 @ a595 )
      & ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl341]) ).

thf(zip_derived_cl4108,plain,
    ( ~ ( c3_1 @ a595 )
   <= ~ ( c3_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1563]) ).

thf(zip_derived_cl261_070,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl4110,plain,
    ( ( ~ ( c1_1 @ a595 )
      | ~ ( c2_1 @ a595 ) )
   <= ( ~ ( c3_1 @ a595 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4108,zip_derived_cl261]) ).

thf('94',plain,
    ( ( c3_1 @ a595 )
    | ~ ( c2_1 @ a595 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl4110]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a577 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl694,plain,
    ( ~ ( c0_1 @ a577 )
   <= ~ ( c0_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl354_071,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c2_1 @ a577 )
      | ( c3_1 @ a577 ) )
   <= ( ~ ( c0_1 @ a577 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl354]) ).

thf('95',plain,
    ( ( c2_1 @ a577 )
    | ( c3_1 @ a577 )
    | ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c0_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a574 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('97',plain,
    ( ( c0_1 @ a574 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl59,plain,
    ( ~ hskp50
    | ( c1_1 @ a574 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c1_1 @ a574 )
    | ~ hskp50 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl468_072,plain,
    ( ( c0_1 @ a574 )
   <= ( c0_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl260_073,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2983,plain,
    ( ( ( c3_1 @ a574 )
      | ~ ( c1_1 @ a574 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ( c0_1 @ a574 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl260]) ).

thf('99',plain,
    ( ( c3_1 @ a574 )
    | ~ ( c0_1 @ a574 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
    | ~ ( c1_1 @ a574 ) ),
    inference(split,[status(esa)],[zip_derived_cl2983]) ).

thf('100',plain,
    ( hskp19
    | hskp50
    | ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c2_1 @ a573 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('102',plain,
    ( ~ ( c0_1 @ a573 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ ( c1_1 @ a573 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl716_074,plain,
    ( ~ ( c0_1 @ a573 )
   <= ~ ( c0_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl275_075,plain,
    ( ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2262,plain,
    ( ( ( c1_1 @ a573 )
      | ( c2_1 @ a573 ) )
   <= ( ~ ( c0_1 @ a573 )
      & ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl275]) ).

thf('104',plain,
    ( ~ ! [X6: $i] :
          ( ( c1_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ( c2_1 @ a573 )
    | ( c0_1 @ a573 )
    | ( c1_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl2262]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp28
    | ( c3_1 @ a589 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl644,plain,
    ( ( c3_1 @ a589 )
   <= ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl326_076,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3545,plain,
    ( ( ~ ( c2_1 @ a589 )
      | ( c1_1 @ a589 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a589 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl326]) ).

thf('105',plain,
    ( ( c1_1 @ a589 )
    | ~ ( c2_1 @ a589 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl3545]) ).

thf(zip_derived_cl644_077,plain,
    ( ( c3_1 @ a589 )
   <= ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl267_078,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3542,plain,
    ( ( ~ ( c1_1 @ a589 )
      | ~ ( c2_1 @ a589 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a589 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl267]) ).

thf('106',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a589 )
    | ~ ( c2_1 @ a589 )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl3542]) ).

thf(zip_derived_cl644_079,plain,
    ( ( c3_1 @ a589 )
   <= ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl279_080,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3544,plain,
    ( ( ( c2_1 @ a589 )
      | ~ ( c1_1 @ a589 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a589 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl279]) ).

thf('107',plain,
    ( ( c2_1 @ a589 )
    | ~ ( c3_1 @ a589 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl3544]) ).

thf(zip_derived_cl644_081,plain,
    ( ( c3_1 @ a589 )
   <= ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl280,plain,
    ( ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl290_082,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl920,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
      & ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl290]) ).

thf(zip_derived_cl924,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
      & ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl920]) ).

thf(zip_derived_cl3539,plain,
    ( ( ( c1_1 @ a589 )
      | ( c2_1 @ a589 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
      & ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c3_1 @ a589 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl924]) ).

thf('108',plain,
    ( ( c2_1 @ a589 )
    | ( c1_1 @ a589 )
    | ~ ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
    | ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl3539]) ).

thf('109',plain,
    ( hskp34
    | ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl53,plain,
    ( ~ hskp51
    | ~ ( c2_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c2_1 @ a583 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl54,plain,
    ( ~ hskp51
    | ( c0_1 @ a583 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ( c0_1 @ a583 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('112',plain,
    ( ( c3_1 @ a583 )
    | ~ hskp51 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('113',plain,
    ( hskp51
    | ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('114',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) )
    | ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl460,plain,
    ( ( c0_1 @ a583 )
   <= ( c0_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl294_083,plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2962,plain,
    ( ( ( c2_1 @ a583 )
      | ~ ( c3_1 @ a583 ) )
   <= ( ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c0_1 @ a583 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl294]) ).

thf('115',plain,
    ( ~ ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ( c2_1 @ a583 )
    | ~ ( c0_1 @ a583 )
    | ~ ( c3_1 @ a583 ) ),
    inference(split,[status(esa)],[zip_derived_cl2962]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp24
    | ( c2_1 @ a581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ( c2_1 @ a581 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ ( c1_1 @ a581 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a581 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ ( c3_1 @ a581 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl678,plain,
    ( ~ ( c3_1 @ a581 )
   <= ~ ( c3_1 @ a581 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl295_084,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2065,plain,
    ( ( ( c1_1 @ a581 )
      | ~ ( c2_1 @ a581 ) )
   <= ( ~ ( c3_1 @ a581 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl295]) ).

thf('119',plain,
    ( ( c1_1 @ a581 )
    | ( c3_1 @ a581 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a581 ) ),
    inference(split,[status(esa)],[zip_derived_cl2065]) ).

thf('120',plain,
    ( hskp39
    | ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
    | hskp24
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl724_085,plain,
    ( ( c0_1 @ a572 )
   <= ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl302_086,plain,
    ( ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c3_1 @ X18 )
        | ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl3662,plain,
    ( ( ( c3_1 @ a572 )
      | ( c2_1 @ a572 ) )
   <= ( ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c0_1 @ a572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl302]) ).

thf('121',plain,
    ( ( c2_1 @ a572 )
    | ~ ! [X18: $i] :
          ( ( c3_1 @ X18 )
          | ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ( c3_1 @ a572 )
    | ~ ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl3662]) ).

thf(zip_derived_cl722_087,plain,
    ( ~ ( c3_1 @ a572 )
   <= ~ ( c3_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl291_088,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl2291,plain,
    ( ( ( c2_1 @ a572 )
      | ( c1_1 @ a572 ) )
   <= ( ~ ( c3_1 @ a572 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl291]) ).

thf('122',plain,
    ( ( c2_1 @ a572 )
    | ( c1_1 @ a572 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c3_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl2291]) ).

thf(zip_derived_cl724_089,plain,
    ( ( c0_1 @ a572 )
   <= ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl318_090,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3664,plain,
    ( ( ( c2_1 @ a572 )
      | ( c1_1 @ a572 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ( c0_1 @ a572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl318]) ).

thf('123',plain,
    ( ( c2_1 @ a572 )
    | ( c1_1 @ a572 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ~ ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl3664]) ).

thf(zip_derived_cl724_091,plain,
    ( ( c0_1 @ a572 )
   <= ( c0_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl349_092,plain,
    ( ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl3665,plain,
    ( ( ~ ( c2_1 @ a572 )
      | ( c1_1 @ a572 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) )
      & ( c0_1 @ a572 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl349]) ).

thf('124',plain,
    ( ~ ( c2_1 @ a572 )
    | ~ ( c0_1 @ a572 )
    | ~ ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) )
    | ( c1_1 @ a572 ) ),
    inference(split,[status(esa)],[zip_derived_cl3665]) ).

thf('125',plain,
    ( ~ ( c3_1 @ a572 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('126',plain,
    ( ( c0_1 @ a572 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a572 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ ( c1_1 @ a572 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl16,plain,
    ( hskp16
    | hskp17
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp18
    | hskp17
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp17
    | ( c3_1 @ a571 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl732,plain,
    ( ( c3_1 @ a571 )
   <= ( c3_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl271_093,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3686,plain,
    ( ( ( c2_1 @ a571 )
      | ( c1_1 @ a571 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a571 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl271]) ).

thf('129',plain,
    ( ( c1_1 @ a571 )
    | ( c2_1 @ a571 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ~ ( c3_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl3686]) ).

thf('130',plain,
    ( ( c3_1 @ a571 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a571 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl732_094,plain,
    ( ( c3_1 @ a571 )
   <= ( c3_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl279_095,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3687,plain,
    ( ( ( c2_1 @ a571 )
      | ~ ( c1_1 @ a571 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a571 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl279]) ).

thf('132',plain,
    ( ( c2_1 @ a571 )
    | ~ ( c1_1 @ a571 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a571 ) ),
    inference(split,[status(esa)],[zip_derived_cl3687]) ).

thf(zip_derived_cl34,plain,
    ! [X57: $i] :
      ( ~ ( c2_1 @ X57 )
      | ( c1_1 @ X57 )
      | ~ ( c0_1 @ X57 )
      | ~ ndr1_0
      | hskp7
      | hskp40 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( hskp40
    | ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl230,plain,
    ( ~ hskp7
    | ( c3_1 @ a550 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl812,plain,
    ( ( c3_1 @ a550 )
   <= ( c3_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl326_096,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3820,plain,
    ( ( ~ ( c2_1 @ a550 )
      | ( c1_1 @ a550 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a550 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl326]) ).

thf('134',plain,
    ( ( c1_1 @ a550 )
    | ~ ( c2_1 @ a550 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ~ ( c3_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl3820]) ).

thf('135',plain,
    ( ( c3_1 @ a550 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl231,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a550 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl812_097,plain,
    ( ( c3_1 @ a550 )
   <= ( c3_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl271_098,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3818,plain,
    ( ( ( c2_1 @ a550 )
      | ( c1_1 @ a550 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a550 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl271]) ).

thf('137',plain,
    ( ( c2_1 @ a550 )
    | ( c1_1 @ a550 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ~ ( c3_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl3818]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp23
    | ( c3_1 @ a578 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ( c3_1 @ a578 )
   <= ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl271_099,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3616,plain,
    ( ( ( c2_1 @ a578 )
      | ( c1_1 @ a578 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a578 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl271]) ).

thf('138',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c2_1 @ a578 )
    | ( c1_1 @ a578 )
    | ~ ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl3616]) ).

thf(zip_derived_cl682_100,plain,
    ( ( c3_1 @ a578 )
   <= ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl267_101,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3615,plain,
    ( ( ~ ( c1_1 @ a578 )
      | ~ ( c2_1 @ a578 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a578 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl267]) ).

thf('139',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c2_1 @ a578 )
    | ~ ( c3_1 @ a578 )
    | ~ ( c1_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl3615]) ).

thf(zip_derived_cl682_102,plain,
    ( ( c3_1 @ a578 )
   <= ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl279_103,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3617,plain,
    ( ( ( c2_1 @ a578 )
      | ~ ( c1_1 @ a578 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a578 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl279]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a578 )
    | ( c2_1 @ a578 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl3617]) ).

thf(zip_derived_cl682_104,plain,
    ( ( c3_1 @ a578 )
   <= ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl326_105,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3618,plain,
    ( ( ~ ( c2_1 @ a578 )
      | ( c1_1 @ a578 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a578 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl326]) ).

thf('141',plain,
    ( ~ ( c2_1 @ a578 )
    | ( c1_1 @ a578 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ~ ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl3618]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a577 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ~ ( c3_1 @ a577 )
   <= ~ ( c3_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl261_106,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl2102,plain,
    ( ( ~ ( c1_1 @ a577 )
      | ~ ( c2_1 @ a577 ) )
   <= ( ~ ( c3_1 @ a577 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl690,zip_derived_cl261]) ).

thf('142',plain,
    ( ~ ( c2_1 @ a577 )
    | ( c3_1 @ a577 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl2102]) ).

thf(zip_derived_cl546_107,plain,
    ( ( c3_1 @ a551 )
   <= ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl326_108,plain,
    ( ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3216,plain,
    ( ( ~ ( c2_1 @ a551 )
      | ( c1_1 @ a551 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
      & ( c3_1 @ a551 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl326]) ).

thf('143',plain,
    ( ( c1_1 @ a551 )
    | ~ ( c3_1 @ a551 )
    | ~ ! [X24: $i] :
          ( ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 ) )
    | ~ ( c2_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl3216]) ).

thf(zip_derived_cl810_109,plain,
    ( ( c0_1 @ a550 )
   <= ( c0_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl318_110,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3807,plain,
    ( ( ( c2_1 @ a550 )
      | ( c1_1 @ a550 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ( c0_1 @ a550 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl810,zip_derived_cl318]) ).

thf('144',plain,
    ( ~ ( c0_1 @ a550 )
    | ( c1_1 @ a550 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ( c2_1 @ a550 ) ),
    inference(split,[status(esa)],[zip_derived_cl3807]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp16
    | ( c3_1 @ a570 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c3_1 @ a570 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp16
    | ( c1_1 @ a570 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c1_1 @ a570 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl738,plain,
    ( ( c3_1 @ a570 )
   <= ( c3_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl267_111,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3697,plain,
    ( ( ~ ( c1_1 @ a570 )
      | ~ ( c2_1 @ a570 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a570 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl267]) ).

thf('147',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c2_1 @ a570 )
    | ~ ( c3_1 @ a570 )
    | ~ ( c1_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl3697]) ).

thf(zip_derived_cl738_112,plain,
    ( ( c3_1 @ a570 )
   <= ( c3_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl279_113,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3699,plain,
    ( ( ( c2_1 @ a570 )
      | ~ ( c1_1 @ a570 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a570 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl279]) ).

thf('148',plain,
    ( ( c2_1 @ a570 )
    | ~ ( c3_1 @ a570 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a570 ) ),
    inference(split,[status(esa)],[zip_derived_cl3699]) ).

thf(zip_derived_cl234,plain,
    ( ~ hskp6
    | ( c3_1 @ a548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl820,plain,
    ( ( c3_1 @ a548 )
   <= ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl271_114,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3830,plain,
    ( ( ( c2_1 @ a548 )
      | ( c1_1 @ a548 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
      & ( c3_1 @ a548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl271]) ).

thf('149',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 ) )
    | ( c1_1 @ a548 )
    | ( c2_1 @ a548 )
    | ~ ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl3830]) ).

thf(zip_derived_cl46,plain,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( c2_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ( c0_1 @ X77 )
      | ~ ndr1_0
      | ( c2_1 @ X78 )
      | ( c1_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('151',plain,
    ( ~ ( c0_1 @ a595 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl50,plain,
    ( ~ hskp52
    | ( c2_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c2_1 @ a595 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl51,plain,
    ( ~ hskp52
    | ( c1_1 @ a595 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c1_1 @ a595 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('154',plain,
    ( ( c0_1 @ a537 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp34
    | ~ ( c1_1 @ a537 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ ( c1_1 @ a537 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('156',plain,
    ( ( c3_1 @ a537 )
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl844_115,plain,
    ( ~ ( c0_1 @ a543 )
   <= ~ ( c0_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl354_116,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl2679,plain,
    ( ( ( c2_1 @ a543 )
      | ( c3_1 @ a543 ) )
   <= ( ~ ( c0_1 @ a543 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl354]) ).

thf('157',plain,
    ( ( c2_1 @ a543 )
    | ( c0_1 @ a543 )
    | ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl2679]) ).

thf('158',plain,
    ( ~ ( c0_1 @ a543 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl247,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a543 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ ( c3_1 @ a543 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl844_117,plain,
    ( ~ ( c0_1 @ a543 )
   <= ~ ( c0_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl268_118,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2670,plain,
    ( ( ~ ( c2_1 @ a543 )
      | ( c3_1 @ a543 ) )
   <= ( ~ ( c0_1 @ a543 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl268]) ).

thf('160',plain,
    ( ~ ( c2_1 @ a543 )
    | ( c0_1 @ a543 )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ( c3_1 @ a543 ) ),
    inference(split,[status(esa)],[zip_derived_cl2670]) ).

thf(zip_derived_cl33,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ( c1_1 @ X55 )
      | ~ ndr1_0
      | ( c1_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) )
    | hskp8
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl548_119,plain,
    ( ~ ( c0_1 @ a551 )
   <= ~ ( c0_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl337_120,plain,
    ( ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ~ ( c2_1 @ X30 )
        | ( c1_1 @ X30 )
        | ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c2_1 @ a551 )
      | ( c1_1 @ a551 ) )
   <= ( ~ ( c0_1 @ a551 )
      & ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl337]) ).

thf('162',plain,
    ( ( c1_1 @ a551 )
    | ~ ( c2_1 @ a551 )
    | ~ ! [X30: $i] :
          ( ~ ( c2_1 @ X30 )
          | ( c1_1 @ X30 )
          | ( c0_1 @ X30 ) )
    | ( c0_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl546_121,plain,
    ( ( c3_1 @ a551 )
   <= ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl267_122,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3213,plain,
    ( ( ~ ( c1_1 @ a551 )
      | ~ ( c2_1 @ a551 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a551 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl267]) ).

thf('163',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a551 )
    | ~ ( c3_1 @ a551 )
    | ~ ( c2_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl3213]) ).

thf('164',plain,
    ( ( c3_1 @ a551 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('165',plain,
    ( ~ ( c0_1 @ a551 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp40
    | ( c2_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c2_1 @ a551 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1,plain,
    ( hskp40
    | hskp31
    | hskp52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( hskp40
    | hskp31
    | hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp31
    | ~ ( c0_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl618,plain,
    ( ~ ( c0_1 @ a594 )
   <= ~ ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl354_123,plain,
    ( ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1848,plain,
    ( ( ( c2_1 @ a594 )
      | ( c3_1 @ a594 ) )
   <= ( ~ ( c0_1 @ a594 )
      & ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl354]) ).

thf('168',plain,
    ( ( c2_1 @ a594 )
    | ( c0_1 @ a594 )
    | ~ ! [X37: $i] :
          ( ( c2_1 @ X37 )
          | ( c0_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1848]) ).

thf('169',plain,
    ( ~ ( c0_1 @ a594 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp31
    | ~ ( c3_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ~ ( c3_1 @ a594 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl618_124,plain,
    ( ~ ( c0_1 @ a594 )
   <= ~ ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl268_125,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1839,plain,
    ( ( ~ ( c2_1 @ a594 )
      | ( c3_1 @ a594 ) )
   <= ( ~ ( c0_1 @ a594 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl268]) ).

thf('171',plain,
    ( ~ ( c2_1 @ a594 )
    | ( c0_1 @ a594 )
    | ~ ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) )
    | ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf(zip_derived_cl225,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ~ ( c3_1 @ a552 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl226,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a552 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl227,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c2_1 @ a552 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl802,plain,
    ( ~ ( c3_1 @ a552 )
   <= ~ ( c3_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf(zip_derived_cl291_126,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl2543,plain,
    ( ( ( c2_1 @ a552 )
      | ( c1_1 @ a552 ) )
   <= ( ~ ( c3_1 @ a552 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl291]) ).

thf('175',plain,
    ( ( c3_1 @ a552 )
    | ( c1_1 @ a552 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c2_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl2543]) ).

thf(zip_derived_cl45,plain,
    ! [X75: $i,X76: $i] :
      ( hskp33
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ( c0_1 @ X75 )
      | ~ ndr1_0
      | ( c3_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( hskp33
    | ! [X37: $i] :
        ( ( c2_1 @ X37 )
        | ( c0_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('177',plain,
    ( ( c0_1 @ a536 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp33
    | ( c1_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ( c1_1 @ a536 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp33
    | ( c2_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ( c2_1 @ a536 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl606_127,plain,
    ( ( c0_1 @ a536 )
   <= ( c0_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl306_128,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3488,plain,
    ( ( ~ ( c1_1 @ a536 )
      | ~ ( c2_1 @ a536 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ( c0_1 @ a536 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl306]) ).

thf('180',plain,
    ( ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c1_1 @ a536 )
    | ~ ( c0_1 @ a536 )
    | ~ ( c2_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl3488]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp36
    | ( c0_1 @ a541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c0_1 @ a541 )
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp36
    | ( c1_1 @ a541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c1_1 @ a541 )
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp36
    | ( c2_1 @ a541 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ( c2_1 @ a541 )
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl578,plain,
    ( ( c0_1 @ a541 )
   <= ( c0_1 @ a541 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl306_129,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3346,plain,
    ( ( ~ ( c1_1 @ a541 )
      | ~ ( c2_1 @ a541 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ( c0_1 @ a541 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl306]) ).

thf('184',plain,
    ( ~ ( c0_1 @ a541 )
    | ~ ( c2_1 @ a541 )
    | ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c1_1 @ a541 ) ),
    inference(split,[status(esa)],[zip_derived_cl3346]) ).

thf(zip_derived_cl594_130,plain,
    ( ( c0_1 @ a537 )
   <= ( c0_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl290_131,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl3430,plain,
    ( ( ( c1_1 @ a537 )
      | ~ ( c3_1 @ a537 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c0_1 @ a537 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl290]) ).

thf('185',plain,
    ( ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c0_1 @ a537 )
    | ( c1_1 @ a537 )
    | ~ ( c3_1 @ a537 ) ),
    inference(split,[status(esa)],[zip_derived_cl3430]) ).

thf(zip_derived_cl31,plain,
    ! [X50: $i,X51: $i,X52: $i] :
      ( ( c2_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ndr1_0
      | ( c0_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ( c1_1 @ X51 )
      | ~ ndr1_0
      | ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
    | ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a578 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ~ ( c0_1 @ a578 )
   <= ~ ( c0_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl287_132,plain,
    ( ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2078,plain,
    ( ( ~ ( c3_1 @ a578 )
      | ( c1_1 @ a578 ) )
   <= ( ~ ( c0_1 @ a578 )
      & ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl287]) ).

thf('187',plain,
    ( ( c0_1 @ a578 )
    | ( c1_1 @ a578 )
    | ~ ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) )
    | ~ ( c3_1 @ a578 ) ),
    inference(split,[status(esa)],[zip_derived_cl2078]) ).

thf('188',plain,
    ( ( c3_1 @ a578 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('189',plain,
    ( ~ ( c0_1 @ a578 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a578 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c1_1 @ a578 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl13,plain,
    ! [X21: $i] :
      ( ~ ( c1_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp22
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( hskp22
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl286,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl260_133,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl895,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl260]) ).

thf(zip_derived_cl896,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl895]) ).

thf(zip_derived_cl572_134,plain,
    ( ~ ( c3_1 @ a544 )
   <= ~ ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1804,plain,
    ( ~ ( c1_1 @ a544 )
   <= ( ~ ( c3_1 @ a544 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl572]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp37
    | ( c1_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl574,plain,
    ( ( c1_1 @ a544 )
   <= ( c1_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('192',plain,
    ( ( c3_1 @ a544 )
    | ~ ( c1_1 @ a544 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1804,zip_derived_cl574]) ).

thf('193',plain,
    ( ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
    | ! [X35: $i] :
        ( ~ ( c2_1 @ X35 )
        | ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
    | hskp46
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp44
    | ( c0_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ( c0_1 @ a559 )
   <= ( c0_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl306_135,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3110,plain,
    ( ( ~ ( c1_1 @ a559 )
      | ~ ( c2_1 @ a559 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ( c0_1 @ a559 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl306]) ).

thf('194',plain,
    ( ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c1_1 @ a559 )
    | ~ ( c0_1 @ a559 )
    | ~ ( c2_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl3110]) ).

thf(zip_derived_cl450_136,plain,
    ( ~ ( c0_1 @ a595 )
   <= ~ ( c0_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl350_137,plain,
    ( ! [X35: $i] :
        ( ~ ( c2_1 @ X35 )
        | ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c2_1 @ X35 )
        | ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1564,plain,
    ( ( ~ ( c2_1 @ a595 )
      | ~ ( c1_1 @ a595 ) )
   <= ( ~ ( c0_1 @ a595 )
      & ! [X35: $i] :
          ( ~ ( c2_1 @ X35 )
          | ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl450,zip_derived_cl350]) ).

thf('195',plain,
    ( ( c0_1 @ a595 )
    | ~ ( c2_1 @ a595 )
    | ~ ! [X35: $i] :
          ( ~ ( c2_1 @ X35 )
          | ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
    | ~ ( c1_1 @ a595 ) ),
    inference(split,[status(esa)],[zip_derived_cl1564]) ).

thf(zip_derived_cl286_138,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl353_139,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1460,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl353]) ).

thf(zip_derived_cl1467,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1460]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp32
    | ~ ( c3_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl612,plain,
    ( ~ ( c3_1 @ a596 )
   <= ~ ( c3_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl6445,plain,
    ( ( ~ ( c1_1 @ a596 )
      | ( c2_1 @ a596 ) )
   <= ( ~ ( c3_1 @ a596 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl612]) ).

thf('196',plain,
    ( ~ ( c1_1 @ a596 )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ( c3_1 @ a596 )
    | ( c2_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl6445]) ).

thf('197',plain,
    ( ( c0_1 @ a596 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('198',plain,
    ( ~ ( c3_1 @ a596 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp32
    | ~ ( c2_1 @ a596 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ ( c2_1 @ a596 )
    | ~ hskp32 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('200',plain,
    ( hskp32
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c0_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl9595,plain,
    ( ( c1_1 @ a559 )
   <= ( c1_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl1729]) ).

thf(zip_derived_cl896_140,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl895]) ).

thf(zip_derived_cl514_141,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl1733,plain,
    ( ~ ( c1_1 @ a559 )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl514]) ).

thf('201',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c0_1 @ X1 ) )
    | ~ ( c1_1 @ a559 )
    | ( c3_1 @ a559 )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9595,zip_derived_cl1733]) ).

thf(zip_derived_cl43,plain,
    ! [X71: $i,X72: $i] :
      ( hskp35
      | ( c3_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X72 )
      | ( c1_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( hskp35
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl516_142,plain,
    ( ( c0_1 @ a559 )
   <= ( c0_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl418_143,plain,
    ( ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl3115,plain,
    ( ( ( c1_1 @ a559 )
      | ( c3_1 @ a559 ) )
   <= ( ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) )
      & ( c0_1 @ a559 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl418]) ).

thf('203',plain,
    ( ( c1_1 @ a559 )
    | ( c3_1 @ a559 )
    | ~ ! [X68: $i] :
          ( ~ ( c0_1 @ X68 )
          | ( c1_1 @ X68 )
          | ( c3_1 @ X68 ) )
    | ~ ( c0_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl3115]) ).

thf(zip_derived_cl514_144,plain,
    ( ~ ( c3_1 @ a559 )
   <= ~ ( c3_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl261_145,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1727,plain,
    ( ( ~ ( c1_1 @ a559 )
      | ~ ( c2_1 @ a559 ) )
   <= ( ~ ( c3_1 @ a559 )
      & ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl514,zip_derived_cl261]) ).

thf('204',plain,
    ( ~ ( c1_1 @ a559 )
    | ( c3_1 @ a559 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ( c3_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl1727]) ).

thf(zip_derived_cl516_146,plain,
    ( ( c0_1 @ a559 )
   <= ( c0_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl349_147,plain,
    ( ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl3112,plain,
    ( ( ~ ( c2_1 @ a559 )
      | ( c1_1 @ a559 ) )
   <= ( ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) )
      & ( c0_1 @ a559 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl349]) ).

thf('205',plain,
    ( ( c1_1 @ a559 )
    | ~ ! [X36: $i] :
          ( ~ ( c2_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ( c1_1 @ X36 ) )
    | ~ ( c0_1 @ a559 )
    | ~ ( c2_1 @ a559 ) ),
    inference(split,[status(esa)],[zip_derived_cl3112]) ).

thf('206',plain,
    ( ! [X36: $i] :
        ( ~ ( c2_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ( c1_1 @ X36 ) )
    | ! [X68: $i] :
        ( ~ ( c0_1 @ X68 )
        | ( c1_1 @ X68 )
        | ( c3_1 @ X68 ) )
    | hskp37
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp37
    | ~ ( c2_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ~ hskp37
    | ~ ( c2_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('208',plain,
    ( ~ ( c3_1 @ a544 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('209',plain,
    ( ( c1_1 @ a544 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1467_148,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1460]) ).

thf(zip_derived_cl572_149,plain,
    ( ~ ( c3_1 @ a544 )
   <= ~ ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl6446,plain,
    ( ( ~ ( c1_1 @ a544 )
      | ( c2_1 @ a544 ) )
   <= ( ~ ( c3_1 @ a544 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
      & ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl572]) ).

thf('210',plain,
    ( ( c2_1 @ a544 )
    | ~ ( c1_1 @ a544 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl6446]) ).

thf(zip_derived_cl610_150,plain,
    ( ( c0_1 @ a596 )
   <= ( c0_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl318_151,plain,
    ( ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ( c1_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3500,plain,
    ( ( ( c2_1 @ a596 )
      | ( c1_1 @ a596 ) )
   <= ( ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
      & ( c0_1 @ a596 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl318]) ).

thf('211',plain,
    ( ( c1_1 @ a596 )
    | ~ ! [X23: $i] :
          ( ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ( c1_1 @ X23 ) )
    | ( c2_1 @ a596 )
    | ~ ( c0_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl3500]) ).

thf('212',plain,
    ( ~ ( c3_1 @ a559 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('213',plain,
    ( ( c0_1 @ a559 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp44
    | ( c2_1 @ a559 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ( c2_1 @ a559 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl25,plain,
    ! [X39: $i] :
      ( hskp44
      | hskp11
      | ( c0_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( hskp44
    | hskp11
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl213,plain,
    ( ~ hskp11
    | ( c1_1 @ a560 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ( c1_1 @ a560 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf('217',plain,
    ( ~ ( c3_1 @ a560 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl214]) ).

thf('218',plain,
    ( ~ ( c0_1 @ a560 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl782_152,plain,
    ( ~ ( c0_1 @ a560 )
   <= ~ ( c0_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl286_153,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2456,plain,
    ( ( ( c3_1 @ a560 )
      | ~ ( c1_1 @ a560 ) )
   <= ( ~ ( c0_1 @ a560 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl782,zip_derived_cl286]) ).

thf('219',plain,
    ( ( c3_1 @ a560 )
    | ( c0_1 @ a560 )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a560 ) ),
    inference(split,[status(esa)],[zip_derived_cl2456]) ).

thf(zip_derived_cl822_154,plain,
    ( ~ ( c0_1 @ a548 )
   <= ~ ( c0_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl280_155,plain,
    ( ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2590,plain,
    ( ( ~ ( c3_1 @ a548 )
      | ( c2_1 @ a548 ) )
   <= ( ~ ( c0_1 @ a548 )
      & ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl280]) ).

thf('220',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
    | ( c2_1 @ a548 )
    | ( c0_1 @ a548 )
    | ~ ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl2590]) ).

thf(zip_derived_cl838_156,plain,
    ( ~ ( c0_1 @ a545 )
   <= ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl280_157,plain,
    ( ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2643,plain,
    ( ( ~ ( c3_1 @ a545 )
      | ( c2_1 @ a545 ) )
   <= ( ~ ( c0_1 @ a545 )
      & ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl280]) ).

thf('221',plain,
    ( ~ ( c3_1 @ a545 )
    | ~ ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
    | ( c2_1 @ a545 )
    | ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2643]) ).

thf('222',plain,
    ( ~ ( c3_1 @ a577 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp22
    | ( c1_1 @ a577 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ( c1_1 @ a577 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('224',plain,
    ( ~ ( c0_1 @ a577 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl694_158,plain,
    ( ~ ( c0_1 @ a577 )
   <= ~ ( c0_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl286_159,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2118,plain,
    ( ( ( c3_1 @ a577 )
      | ~ ( c1_1 @ a577 ) )
   <= ( ~ ( c0_1 @ a577 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl286]) ).

thf('225',plain,
    ( ( c3_1 @ a577 )
    | ( c0_1 @ a577 )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a577 ) ),
    inference(split,[status(esa)],[zip_derived_cl2118]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp46
    | ( c1_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ( c1_1 @ a562 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp46
    | ~ ( c3_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ~ ( c3_1 @ a562 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp46
    | ~ ( c0_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ~ ( c0_1 @ a562 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl500,plain,
    ( ~ ( c0_1 @ a562 )
   <= ~ ( c0_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl286_160,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1689,plain,
    ( ( ( c3_1 @ a562 )
      | ~ ( c1_1 @ a562 ) )
   <= ( ~ ( c0_1 @ a562 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl500,zip_derived_cl286]) ).

thf('229',plain,
    ( ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ( c3_1 @ a562 )
    | ( c0_1 @ a562 )
    | ~ ( c1_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1689]) ).

thf(zip_derived_cl746_161,plain,
    ( ~ ( c0_1 @ a569 )
   <= ~ ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl280_162,plain,
    ( ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2345,plain,
    ( ( ~ ( c3_1 @ a569 )
      | ( c2_1 @ a569 ) )
   <= ( ~ ( c0_1 @ a569 )
      & ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl280]) ).

thf('230',plain,
    ( ~ ( c3_1 @ a569 )
    | ( c2_1 @ a569 )
    | ~ ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
    | ( c0_1 @ a569 ) ),
    inference(split,[status(esa)],[zip_derived_cl2345]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp35
    | ( c2_1 @ a538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ( c2_1 @ a538 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp35
    | ( c1_1 @ a538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ( c1_1 @ a538 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp35
    | ( c3_1 @ a538 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ( c3_1 @ a538 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl590,plain,
    ( ( c3_1 @ a538 )
   <= ( c3_1 @ a538 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl267_163,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3421,plain,
    ( ( ~ ( c1_1 @ a538 )
      | ~ ( c2_1 @ a538 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a538 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl267]) ).

thf('234',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c1_1 @ a538 )
    | ~ ( c3_1 @ a538 )
    | ~ ( c2_1 @ a538 ) ),
    inference(split,[status(esa)],[zip_derived_cl3421]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp39
    | ( c3_1 @ a549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('235',plain,
    ( ( c3_1 @ a549 )
    | ~ hskp39 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp39
    | ( c2_1 @ a549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ( c2_1 @ a549 )
    | ~ hskp39 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp39
    | ( c1_1 @ a549 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('237',plain,
    ( ( c1_1 @ a549 )
    | ~ hskp39 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl554,plain,
    ( ( c3_1 @ a549 )
   <= ( c3_1 @ a549 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl267_164,plain,
    ( ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3239,plain,
    ( ( ~ ( c1_1 @ a549 )
      | ~ ( c2_1 @ a549 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c3_1 @ a549 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl267]) ).

thf('238',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a549 )
    | ~ ( c1_1 @ a549 )
    | ~ ( c2_1 @ a549 ) ),
    inference(split,[status(esa)],[zip_derived_cl3239]) ).

thf('239',plain,
    ( hskp46
    | ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl36,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c1_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ( c0_1 @ X61 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( hskp6
    | ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
    | ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf('241',plain,
    ( hskp28
    | ! [X6: $i] :
        ( ( c1_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp36
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ndr1_0
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp34
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('243',plain,
    ( ndr1_0
    | ~ hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl244,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('244',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl244]) ).

thf(zip_derived_cl41,plain,
    ( hskp36
    | hskp34
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( hskp3
    | hskp36
    | hskp34 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl377_165,plain,
    ( ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ~ ( c1_1 @ X49 )
        | ( c0_1 @ X49 )
        | ~ ( c3_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl646_166,plain,
    ( ~ ( c0_1 @ a589 )
   <= ~ ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2167,plain,
    ( ( ~ ( c3_1 @ a589 )
      | ~ ( c1_1 @ a589 ) )
   <= ( ~ ( c0_1 @ a589 )
      & ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl646]) ).

thf('246',plain,
    ( ~ ! [X49: $i] :
          ( ~ ( c1_1 @ X49 )
          | ( c0_1 @ X49 )
          | ~ ( c3_1 @ X49 ) )
    | ~ ( c1_1 @ a589 )
    | ( c0_1 @ a589 )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl2167]) ).

thf('247',plain,
    ( ( c3_1 @ a589 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('248',plain,
    ( ~ ( c0_1 @ a589 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl646_167,plain,
    ( ~ ( c0_1 @ a589 )
   <= ~ ( c0_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl287_168,plain,
    ( ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1952,plain,
    ( ( ~ ( c3_1 @ a589 )
      | ( c1_1 @ a589 ) )
   <= ( ~ ( c0_1 @ a589 )
      & ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl287]) ).

thf('249',plain,
    ( ( c1_1 @ a589 )
    | ( c0_1 @ a589 )
    | ~ ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) )
    | ~ ( c3_1 @ a589 ) ),
    inference(split,[status(esa)],[zip_derived_cl1952]) ).

thf(zip_derived_cl242,plain,
    ( ~ hskp4
    | ( c1_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('250',plain,
    ( ( c1_1 @ a545 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl242]) ).

thf(zip_derived_cl6,plain,
    ( hskp6
    | hskp27
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('251',plain,
    ( hskp4
    | hskp6
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp27
    | ~ ( c0_1 @ a586 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('252',plain,
    ( ~ ( c0_1 @ a586 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp27
    | ( c1_1 @ a586 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('253',plain,
    ( ( c1_1 @ a586 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a586 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('254',plain,
    ( ~ ( c3_1 @ a586 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl650,plain,
    ( ~ ( c0_1 @ a586 )
   <= ~ ( c0_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl286_169,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1973,plain,
    ( ( ( c3_1 @ a586 )
      | ~ ( c1_1 @ a586 ) )
   <= ( ~ ( c0_1 @ a586 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl650,zip_derived_cl286]) ).

thf('255',plain,
    ( ( c0_1 @ a586 )
    | ( c3_1 @ a586 )
    | ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ~ ( c1_1 @ a586 ) ),
    inference(split,[status(esa)],[zip_derived_cl1973]) ).

thf(zip_derived_cl838_170,plain,
    ( ~ ( c0_1 @ a545 )
   <= ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl286_171,plain,
    ( ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c0_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c1_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2645,plain,
    ( ( ( c3_1 @ a545 )
      | ~ ( c1_1 @ a545 ) )
   <= ( ~ ( c0_1 @ a545 )
      & ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl286]) ).

thf('256',plain,
    ( ~ ! [X10: $i] :
          ( ( c0_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c1_1 @ X10 ) )
    | ( c3_1 @ a545 )
    | ( c0_1 @ a545 )
    | ~ ( c1_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2645]) ).

thf(zip_derived_cl241,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a545 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ~ ( c2_1 @ a545 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf('258',plain,
    ( ~ ( c0_1 @ a545 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl838_172,plain,
    ( ~ ( c0_1 @ a545 )
   <= ~ ( c0_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl268_173,plain,
    ( ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c2_1 @ X2 )
        | ( c3_1 @ X2 )
        | ( c0_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2641,plain,
    ( ( ~ ( c2_1 @ a545 )
      | ( c3_1 @ a545 ) )
   <= ( ~ ( c0_1 @ a545 )
      & ! [X2: $i] :
          ( ~ ( c2_1 @ X2 )
          | ( c3_1 @ X2 )
          | ( c0_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl268]) ).

thf(zip_derived_cl13194,plain,
    ( ( c3_1 @ a545 )
   <= ( c3_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl2641]) ).

thf(zip_derived_cl279_174,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl13226,plain,
    ( ( ( c2_1 @ a545 )
      | ~ ( c1_1 @ a545 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a545 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13194,zip_derived_cl279]) ).

thf('259',plain,
    ( ~ ( c3_1 @ a545 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c2_1 @ a545 )
    | ~ ( c1_1 @ a545 ) ),
    inference(split,[status(esa)],[zip_derived_cl13226]) ).

thf(zip_derived_cl822_175,plain,
    ( ~ ( c0_1 @ a548 )
   <= ~ ( c0_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl287_176,plain,
    ( ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c3_1 @ X9 )
        | ( c0_1 @ X9 )
        | ( c1_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2591,plain,
    ( ( ~ ( c3_1 @ a548 )
      | ( c1_1 @ a548 ) )
   <= ( ~ ( c0_1 @ a548 )
      & ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl287]) ).

thf('260',plain,
    ( ( c1_1 @ a548 )
    | ( c0_1 @ a548 )
    | ~ ! [X9: $i] :
          ( ~ ( c3_1 @ X9 )
          | ( c0_1 @ X9 )
          | ( c1_1 @ X9 ) )
    | ~ ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl2591]) ).

thf(zip_derived_cl233,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a548 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('261',plain,
    ( ~ ( c2_1 @ a548 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf('262',plain,
    ( ( c3_1 @ a548 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf('263',plain,
    ( ~ ( c0_1 @ a548 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl820_177,plain,
    ( ( c3_1 @ a548 )
   <= ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl279_178,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3831,plain,
    ( ( ( c2_1 @ a548 )
      | ~ ( c1_1 @ a548 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a548 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl279]) ).

thf('264',plain,
    ( ~ ( c1_1 @ a548 )
    | ( c2_1 @ a548 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a548 ) ),
    inference(split,[status(esa)],[zip_derived_cl3831]) ).

thf(zip_derived_cl540,plain,
    ( ( c3_1 @ a555 )
   <= ( c3_1 @ a555 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl279_179,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3192,plain,
    ( ( ( c2_1 @ a555 )
      | ~ ( c1_1 @ a555 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a555 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl279]) ).

thf('265',plain,
    ( ~ ( c1_1 @ a555 )
    | ( c2_1 @ a555 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a555 ) ),
    inference(split,[status(esa)],[zip_derived_cl3192]) ).

thf(zip_derived_cl612_180,plain,
    ( ~ ( c3_1 @ a596 )
   <= ~ ( c3_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl291_181,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1818,plain,
    ( ( ( c2_1 @ a596 )
      | ( c1_1 @ a596 ) )
   <= ( ~ ( c3_1 @ a596 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl291]) ).

thf('266',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c1_1 @ a596 )
    | ( c2_1 @ a596 )
    | ( c3_1 @ a596 ) ),
    inference(split,[status(esa)],[zip_derived_cl1818]) ).

thf(zip_derived_cl10,plain,
    ! [X16: $i,X17: $i] :
      ( ~ ( c1_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ( c2_1 @ X16 )
      | ~ ndr1_0
      | hskp25
      | ~ ( c2_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('267',plain,
    ( hskp25
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('268',plain,
    ( ~ ( c3_1 @ a582 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('269',plain,
    ( ~ ( c2_1 @ a582 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('270',plain,
    ( ~ ( c1_1 @ a582 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl666,plain,
    ( ~ ( c3_1 @ a582 )
   <= ~ ( c3_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl291_182,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl2014,plain,
    ( ( ( c2_1 @ a582 )
      | ( c1_1 @ a582 ) )
   <= ( ~ ( c3_1 @ a582 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl666,zip_derived_cl291]) ).

thf('271',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c2_1 @ X11 )
          | ( c1_1 @ X11 ) )
    | ( c3_1 @ a582 )
    | ( c2_1 @ a582 )
    | ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl2014]) ).

thf(zip_derived_cl22,plain,
    ! [X33: $i,X34: $i] :
      ( hskp12
      | ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('272',plain,
    ( hskp12
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl209,plain,
    ( ~ hskp12
    | ( c3_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('273',plain,
    ( ( c3_1 @ a563 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl210,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('274',plain,
    ( ~ ( c0_1 @ a563 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl211,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('275',plain,
    ( ~ ( c2_1 @ a563 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl772,plain,
    ( ~ ( c0_1 @ a563 )
   <= ~ ( c0_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl280_183,plain,
    ( ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2410,plain,
    ( ( ~ ( c3_1 @ a563 )
      | ( c2_1 @ a563 ) )
   <= ( ~ ( c0_1 @ a563 )
      & ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl772,zip_derived_cl280]) ).

thf('276',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c3_1 @ X7 )
          | ( c2_1 @ X7 )
          | ( c0_1 @ X7 ) )
    | ( c0_1 @ a563 )
    | ( c2_1 @ a563 )
    | ~ ( c3_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl2410]) ).

thf(zip_derived_cl37,plain,
    ! [X62: $i,X63: $i] :
      ( ( c3_1 @ X62 )
      | ( c1_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ndr1_0
      | hskp38
      | ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('277',plain,
    ( hskp38
    | ! [X7: $i] :
        ( ~ ( c3_1 @ X7 )
        | ( c2_1 @ X7 )
        | ( c0_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp38
    | ( c2_1 @ a547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('278',plain,
    ( ( c2_1 @ a547 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp38
    | ( c1_1 @ a547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('279',plain,
    ( ( c1_1 @ a547 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp38
    | ( c0_1 @ a547 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('280',plain,
    ( ( c0_1 @ a547 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl566,plain,
    ( ( c0_1 @ a547 )
   <= ( c0_1 @ a547 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl306_184,plain,
    ( ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3315,plain,
    ( ( ~ ( c1_1 @ a547 )
      | ~ ( c2_1 @ a547 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ( c0_1 @ a547 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl306]) ).

thf('281',plain,
    ( ~ ! [X20: $i] :
          ( ~ ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c2_1 @ a547 )
    | ~ ( c1_1 @ a547 )
    | ~ ( c0_1 @ a547 ) ),
    inference(split,[status(esa)],[zip_derived_cl3315]) ).

thf(zip_derived_cl47,plain,
    ! [X80: $i,X81: $i] :
      ( ( c1_1 @ X80 )
      | ( c2_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c0_1 @ X81 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('282',plain,
    ( hskp0
    | ! [X20: $i] :
        ( ~ ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c2_1 @ X11 )
        | ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl257,plain,
    ( ~ hskp0
    | ( c1_1 @ a535 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('283',plain,
    ( ( c1_1 @ a535 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

thf(zip_derived_cl868,plain,
    ( ( c0_1 @ a535 )
   <= ( c0_1 @ a535 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl353_185,plain,
    ( ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ~ ( c0_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl3926,plain,
    ( ( ( c2_1 @ a535 )
      | ~ ( c1_1 @ a535 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c0_1 @ a535 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl868,zip_derived_cl353]) ).

thf('284',plain,
    ( ~ ( c1_1 @ a535 )
    | ( c2_1 @ a535 )
    | ~ ! [X38: $i] :
          ( ~ ( c0_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c0_1 @ a535 ) ),
    inference(split,[status(esa)],[zip_derived_cl3926]) ).

thf(zip_derived_cl53481,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN439+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B0sEekDKCT true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 20:17:12 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 71.61/10.87  % Solved by fo/fo1_av.sh.
% 71.61/10.87  % done 11154 iterations in 10.035s
% 71.61/10.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 71.61/10.87  % SZS output start Refutation
% See solution above
% 71.61/10.88  
% 71.61/10.88  
% 71.61/10.88  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 71.61/10.88  % Terminating...
% 72.23/11.01  % Runner terminated.
% 72.23/11.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------