TSTP Solution File: SYN510+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN510+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.V9CrvcDpin true

% Computer : n001.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 04:04:19 EDT 2023

% Result   : Theorem 7.52s 1.67s
% Output   : Refutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  490 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 3333 (   0 equ;   0 cnn)
%            Maximal formula atoms :  720 (   7 avg)
%            Number of connectives : 7025 (1699   ~;2044   |; 479   &;2414   @)
%                                         (   0 <=>; 214  =>; 175  <=;   0 <~>)
%            Maximal formula depth :  115 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  557 (   0   ^; 557   !;   0   ?; 557   :)

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

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

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

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

thf(a553_type,type,
    a553: $i ).

thf(a587_type,type,
    a587: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(a604_type,type,
    a604: $i ).

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

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

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

thf(a580_type,type,
    a580: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(a615_type,type,
    a615: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a536 )
          & ( c2_1 @ a536 )
          & ~ ( c3_1 @ a536 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a537 )
          & ~ ( c1_1 @ a537 )
          & ~ ( c3_1 @ a537 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c1_1 @ a538 )
          & ~ ( c2_1 @ a538 )
          & ~ ( c3_1 @ a538 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a539 )
          & ~ ( c2_1 @ a539 )
          & ~ ( c3_1 @ a539 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c3_1 @ a540 )
          & ~ ( c1_1 @ a540 )
          & ~ ( c2_1 @ a540 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a544 )
          & ( c1_1 @ a544 )
          & ~ ( c3_1 @ a544 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c3_1 @ a546 )
          & ~ ( c0_1 @ a546 )
          & ~ ( c1_1 @ a546 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c2_1 @ a547 )
          & ~ ( c0_1 @ a547 )
          & ~ ( c3_1 @ a547 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a548 )
          & ( c2_1 @ a548 )
          & ~ ( c0_1 @ a548 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a549 )
          & ~ ( c1_1 @ a549 )
          & ~ ( c2_1 @ a549 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a551 )
          & ( c3_1 @ a551 )
          & ~ ( c0_1 @ a551 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a553 )
          & ( c3_1 @ a553 )
          & ~ ( c2_1 @ a553 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a564 )
          & ( c3_1 @ a564 )
          & ~ ( c1_1 @ a564 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a565 )
          & ( c3_1 @ a565 )
          & ~ ( c2_1 @ a565 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a566 )
          & ( c3_1 @ a566 )
          & ~ ( c0_1 @ a566 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a567 )
          & ( c1_1 @ a567 )
          & ~ ( c2_1 @ a567 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a570 )
          & ~ ( c2_1 @ a570 )
          & ~ ( c3_1 @ a570 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a571 )
          & ~ ( c1_1 @ a571 )
          & ~ ( c2_1 @ a571 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c0_1 @ a573 )
          & ~ ( c1_1 @ a573 )
          & ~ ( c3_1 @ a573 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a576 )
          & ~ ( c1_1 @ a576 )
          & ~ ( c3_1 @ a576 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a580 )
          & ~ ( c0_1 @ a580 )
          & ~ ( c3_1 @ a580 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a582 )
          & ( c3_1 @ a582 )
          & ~ ( c1_1 @ a582 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c3_1 @ a584 )
          & ~ ( c0_1 @ a584 )
          & ~ ( c2_1 @ a584 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a587 )
          & ~ ( c2_1 @ a587 )
          & ~ ( c3_1 @ a587 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a590 )
          & ~ ( c0_1 @ a590 )
          & ~ ( c2_1 @ a590 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a594 )
          & ~ ( c0_1 @ a594 )
          & ~ ( c1_1 @ a594 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a604 )
          & ( c2_1 @ a604 )
          & ~ ( c3_1 @ a604 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a615 )
          & ( c2_1 @ a615 )
          & ~ ( c1_1 @ a615 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a541 )
          & ( c1_1 @ a541 )
          & ( c2_1 @ a541 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a552 )
          & ( c2_1 @ a552 )
          & ( c3_1 @ a552 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a562 )
          & ( c2_1 @ a562 )
          & ( c3_1 @ a562 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a563 )
          & ( c1_1 @ a563 )
          & ( c3_1 @ a563 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X )
              | ~ ( c0_1 @ X )
              | ~ ( c3_1 @ X ) ) )
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c2_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Z )
              | ~ ( c1_1 @ Z )
              | ~ ( c2_1 @ Z ) ) )
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | hskp3 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c0_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) ) )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ~ ( c0_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp4 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c3_1 @ X8 ) ) )
        | hskp28
        | hskp2 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X13 )
              | ~ ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | hskp1 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp5
        | hskp2 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ~ ( c0_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | hskp6 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | hskp7 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c0_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | hskp8
        | hskp10 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp29
        | hskp11 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c3_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp11 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | hskp11
        | hskp9 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c3_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | hskp0 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp10
        | hskp9 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | hskp6 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp0
        | hskp30 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X45 )
              | ~ ( c0_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) ) )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ~ ( c0_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | hskp31 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | hskp12 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp13
        | hskp14 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c2_1 @ X51 )
              | ( c3_1 @ X51 ) ) )
        | hskp15
        | hskp2 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ( c3_1 @ X52 ) ) )
        | hskp3
        | hskp16 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp17 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c2_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 ) ) )
        | hskp12 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | hskp18 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c2_1 @ X59 )
              | ~ ( c0_1 @ X59 ) ) )
        | hskp12
        | hskp11 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp19
        | hskp9 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp13 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c3_1 @ X63 )
              | ~ ( c0_1 @ X63 ) ) )
        | hskp13
        | hskp20 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp29
        | hskp21 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp19 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c1_1 @ X68 ) ) )
        | hskp22 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | hskp7 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ~ ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp3 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | hskp23 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) ) )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) ) )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp24 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp14 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c1_1 @ X85 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 ) ) )
        | hskp25
        | hskp4 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp15
        | hskp0 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ~ ( c1_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp12
        | hskp21 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp30
        | hskp7 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) )
        | hskp26
        | hskp24 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | hskp14
        | hskp21 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | hskp25
        | hskp9 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 ) ) )
        | hskp5
        | hskp4 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | hskp26
        | hskp14 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp14 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp27
        | hskp26 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp26
        | hskp4 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp10
        | hskp14 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X101 )
              | ~ ( c2_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp20
        | hskp14 )
      & ( hskp28
        | hskp15
        | hskp23 )
      & ( hskp31
        | hskp12
        | hskp14 )
      & ( hskp31
        | hskp10
        | hskp16 )
      & ( hskp31
        | hskp20
        | hskp22 )
      & ( hskp5
        | hskp27
        | hskp25 )
      & ( hskp5
        | hskp10
        | hskp14 )
      & ( hskp12
        | hskp7
        | hskp4 )
      & ( hskp13
        | hskp24
        | hskp6 )
      & ( hskp13
        | hskp14
        | hskp6 )
      & ( hskp13
        | hskp25
        | hskp22 )
      & ( hskp3
        | hskp24
        | hskp18 )
      & ( hskp26
        | hskp7
        | hskp22 )
      & ( hskp26
        | hskp6
        | hskp2 )
      & ( hskp24
        | hskp9
        | hskp2 )
      & ( hskp21
        | hskp22
        | hskp23 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a536 )
        & ( c2_1 @ a536 )
        & ~ ( c3_1 @ a536 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a537 )
        & ~ ( c1_1 @ a537 )
        & ~ ( c3_1 @ a537 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c1_1 @ a538 )
        & ~ ( c2_1 @ a538 )
        & ~ ( c3_1 @ a538 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a539 )
        & ~ ( c2_1 @ a539 )
        & ~ ( c3_1 @ a539 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c3_1 @ a540 )
        & ~ ( c1_1 @ a540 )
        & ~ ( c2_1 @ a540 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a544 )
        & ( c1_1 @ a544 )
        & ~ ( c3_1 @ a544 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c3_1 @ a546 )
        & ~ ( c0_1 @ a546 )
        & ~ ( c1_1 @ a546 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c2_1 @ a547 )
        & ~ ( c0_1 @ a547 )
        & ~ ( c3_1 @ a547 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a548 )
        & ( c2_1 @ a548 )
        & ~ ( c0_1 @ a548 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a549 )
        & ~ ( c1_1 @ a549 )
        & ~ ( c2_1 @ a549 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a551 )
        & ( c3_1 @ a551 )
        & ~ ( c0_1 @ a551 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a553 )
        & ( c3_1 @ a553 )
        & ~ ( c2_1 @ a553 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a564 )
        & ( c3_1 @ a564 )
        & ~ ( c1_1 @ a564 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a565 )
        & ( c3_1 @ a565 )
        & ~ ( c2_1 @ a565 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a566 )
        & ( c3_1 @ a566 )
        & ~ ( c0_1 @ a566 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a567 )
        & ( c1_1 @ a567 )
        & ~ ( c2_1 @ a567 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a570 )
        & ~ ( c2_1 @ a570 )
        & ~ ( c3_1 @ a570 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a571 )
        & ~ ( c1_1 @ a571 )
        & ~ ( c2_1 @ a571 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c0_1 @ a573 )
        & ~ ( c1_1 @ a573 )
        & ~ ( c3_1 @ a573 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a576 )
        & ~ ( c1_1 @ a576 )
        & ~ ( c3_1 @ a576 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a580 )
        & ~ ( c0_1 @ a580 )
        & ~ ( c3_1 @ a580 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a582 )
        & ( c3_1 @ a582 )
        & ~ ( c1_1 @ a582 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c3_1 @ a584 )
        & ~ ( c0_1 @ a584 )
        & ~ ( c2_1 @ a584 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a587 )
        & ~ ( c2_1 @ a587 )
        & ~ ( c3_1 @ a587 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a590 )
        & ~ ( c0_1 @ a590 )
        & ~ ( c2_1 @ a590 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a594 )
        & ~ ( c0_1 @ a594 )
        & ~ ( c1_1 @ a594 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a604 )
        & ( c2_1 @ a604 )
        & ~ ( c3_1 @ a604 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a615 )
        & ( c2_1 @ a615 )
        & ~ ( c1_1 @ a615 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a541 )
        & ( c1_1 @ a541 )
        & ( c2_1 @ a541 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a552 )
        & ( c2_1 @ a552 )
        & ( c3_1 @ a552 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a562 )
        & ( c2_1 @ a562 )
        & ( c3_1 @ a562 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a563 )
        & ( c1_1 @ a563 )
        & ( c3_1 @ a563 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X )
            | ~ ( c0_1 @ X )
            | ~ ( c3_1 @ X ) ) )
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c2_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Z )
            | ~ ( c1_1 @ Z )
            | ~ ( c2_1 @ Z ) ) )
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | hskp3 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c0_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) ) )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ~ ( c0_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp4 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c3_1 @ X8 ) ) )
      | hskp28
      | hskp2 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X13 )
            | ~ ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | hskp1 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp5
      | hskp2 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ~ ( c0_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | hskp6 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | hskp7 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c0_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | hskp8
      | hskp10 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp29
      | hskp11 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c3_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp11 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | hskp11
      | hskp9 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c3_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | hskp0 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp10
      | hskp9 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | hskp6 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp0
      | hskp30 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X45 )
            | ~ ( c0_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) ) )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ~ ( c0_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | hskp31 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | hskp12 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp13
      | hskp14 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c2_1 @ X51 )
            | ( c3_1 @ X51 ) ) )
      | hskp15
      | hskp2 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ( c3_1 @ X52 ) ) )
      | hskp3
      | hskp16 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp17 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c2_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 ) ) )
      | hskp12 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | hskp18 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c2_1 @ X59 )
            | ~ ( c0_1 @ X59 ) ) )
      | hskp12
      | hskp11 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp19
      | hskp9 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp13 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c3_1 @ X63 )
            | ~ ( c0_1 @ X63 ) ) )
      | hskp13
      | hskp20 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp29
      | hskp21 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp19 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c1_1 @ X68 ) ) )
      | hskp22 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | hskp7 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ~ ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp3 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | hskp23 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) ) )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) ) )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp24 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp14 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c1_1 @ X85 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 ) ) )
      | hskp25
      | hskp4 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp15
      | hskp0 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ~ ( c1_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp12
      | hskp21 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp30
      | hskp7 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) )
      | hskp26
      | hskp24 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | hskp14
      | hskp21 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | hskp25
      | hskp9 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 ) ) )
      | hskp5
      | hskp4 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | hskp26
      | hskp14 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp14 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp27
      | hskp26 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp26
      | hskp4 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp10
      | hskp14 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X101 )
            | ~ ( c2_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp20
      | hskp14 )
    & ( hskp28
      | hskp15
      | hskp23 )
    & ( hskp31
      | hskp12
      | hskp14 )
    & ( hskp31
      | hskp10
      | hskp16 )
    & ( hskp31
      | hskp20
      | hskp22 )
    & ( hskp5
      | hskp27
      | hskp25 )
    & ( hskp5
      | hskp10
      | hskp14 )
    & ( hskp12
      | hskp7
      | hskp4 )
    & ( hskp13
      | hskp24
      | hskp6 )
    & ( hskp13
      | hskp14
      | hskp6 )
    & ( hskp13
      | hskp25
      | hskp22 )
    & ( hskp3
      | hskp24
      | hskp18 )
    & ( hskp26
      | hskp7
      | hskp22 )
    & ( hskp26
      | hskp6
      | hskp2 )
    & ( hskp24
      | hskp9
      | hskp2 )
    & ( hskp21
      | hskp22
      | hskp23 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl40,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( c1_1 @ a564 )
   <= ~ ( c1_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1275,plain,
    ( ( ~ ( c3_1 @ a564 )
      | ~ ( c2_1 @ a564 ) )
   <= ( ~ ( c1_1 @ a564 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl670]) ).

thf('0',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ~ ( c2_1 @ a564 )
    | ~ ( c3_1 @ a564 )
    | ( c1_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl1275]) ).

thf(zip_derived_cl58,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl424,plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c2_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl35,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    ( ~ ( c1_1 @ a594 )
   <= ~ ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1019,plain,
    ( ( ~ ( c3_1 @ a594 )
      | ~ ( c0_1 @ a594 ) )
   <= ( ~ ( c1_1 @ a594 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl566]) ).

thf(zip_derived_cl1347,plain,
    ( ~ ( c3_1 @ a594 )
   <= ~ ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1019]) ).

thf(zip_derived_cl1773,plain,
    ( ( ~ ( c2_1 @ a594 )
      | ( c0_1 @ a594 ) )
   <= ( ~ ( c3_1 @ a594 )
      & ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c3_1 @ X63 )
          | ~ ( c2_1 @ X63 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1347]) ).

thf('1',plain,
    ( ( c3_1 @ a594 )
    | ( c0_1 @ a594 )
    | ~ ! [X63: $i] :
          ( ( c0_1 @ X63 )
          | ( c3_1 @ X63 )
          | ~ ( c2_1 @ X63 ) )
    | ~ ( c2_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf(zip_derived_cl334_001,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( c1_1 @ a615 )
   <= ~ ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1020,plain,
    ( ( ~ ( c3_1 @ a615 )
      | ~ ( c0_1 @ a615 ) )
   <= ( ~ ( c1_1 @ a615 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl550]) ).

thf(zip_derived_cl1353,plain,
    ( ~ ( c3_1 @ a615 )
   <= ~ ( c3_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1020]) ).

thf(zip_derived_cl22,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1355,plain,
    ( ( ~ ( c0_1 @ a615 )
      | ~ ( c2_1 @ a615 ) )
   <= ( ~ ( c3_1 @ a615 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl281]) ).

thf('2',plain,
    ( ( c3_1 @ a615 )
    | ~ ( c0_1 @ a615 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf(zip_derived_cl36,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl550_002,plain,
    ( ~ ( c1_1 @ a615 )
   <= ~ ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1066,plain,
    ( ( ~ ( c2_1 @ a615 )
      | ~ ( c0_1 @ a615 ) )
   <= ( ~ ( c1_1 @ a615 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl550]) ).

thf('3',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c0_1 @ a615 )
    | ~ ( c2_1 @ a615 )
    | ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1066]) ).

thf('4',plain,
    ( ~ ( c1_1 @ a615 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl352_003,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl550_004,plain,
    ( ~ ( c1_1 @ a615 )
   <= ~ ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1281,plain,
    ( ( ~ ( c3_1 @ a615 )
      | ~ ( c2_1 @ a615 ) )
   <= ( ~ ( c1_1 @ a615 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl550]) ).

thf('5',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ~ ( c3_1 @ a615 )
    | ~ ( c2_1 @ a615 )
    | ( c1_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl1281]) ).

thf('6',plain,
    ( ! [X63: $i] :
        ( ( c0_1 @ X63 )
        | ( c3_1 @ X63 )
        | ~ ( c2_1 @ X63 ) )
    | hskp0
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl281_005,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c3_1 @ a576 )
   <= ~ ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl831,plain,
    ( ( ~ ( c2_1 @ a576 )
      | ~ ( c0_1 @ a576 ) )
   <= ( ~ ( c3_1 @ a576 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl614]) ).

thf('7',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a576 )
    | ( c3_1 @ a576 )
    | ~ ( c2_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl831]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp13
    | ( c0_1 @ a565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c0_1 @ a565 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp13
    | ( c3_1 @ a565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( c3_1 @ a565 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a565 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c2_1 @ a565 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl43,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp13
    | ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp31
    | ( c1_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ( c1_1 @ a563 )
   <= ( c1_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl20,plain,
    ! [X6: $i] :
      ( ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | hskp26
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 )
        | ~ ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl949,plain,
    ( ( ~ ( c0_1 @ a563 )
      | ~ ( c2_1 @ a563 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
      & ( c1_1 @ a563 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl273]) ).

thf('12',plain,
    ( ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 )
          | ~ ( c2_1 @ X6 ) )
    | ~ ( c2_1 @ a563 )
    | ~ ( c0_1 @ a563 )
    | ~ ( c1_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl516_006,plain,
    ( ( c1_1 @ a563 )
   <= ( c1_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl27,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl301,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl951,plain,
    ( ( ( c2_1 @ a563 )
      | ~ ( c3_1 @ a563 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a563 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl301]) ).

thf('13',plain,
    ( ( c2_1 @ a563 )
    | ~ ( c3_1 @ a563 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c1_1 @ a563 ) ),
    inference(split,[status(esa)],[zip_derived_cl951]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp31
    | ( c0_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c0_1 @ a563 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('15',plain,
    ( ( c1_1 @ a563 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp31
    | ( c3_1 @ a563 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ( c3_1 @ a563 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl53,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | ( c1_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( hskp31
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl54,plain,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | ( c1_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl337_007,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl612,plain,
    ( ~ ( c1_1 @ a576 )
   <= ~ ( c1_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1063,plain,
    ( ( ~ ( c2_1 @ a576 )
      | ~ ( c0_1 @ a576 ) )
   <= ( ~ ( c1_1 @ a576 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl612]) ).

thf('19',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a576 )
    | ~ ( c0_1 @ a576 )
    | ( c1_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl1063]) ).

thf(zip_derived_cl42,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | hskp13
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl360,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c0_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl612_008,plain,
    ( ~ ( c1_1 @ a576 )
   <= ~ ( c1_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1465,plain,
    ( ( ~ ( c0_1 @ a576 )
      | ( c3_1 @ a576 ) )
   <= ( ~ ( c1_1 @ a576 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl612]) ).

thf('20',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c0_1 @ X38 ) )
    | ~ ( c0_1 @ a576 )
    | ( c1_1 @ a576 )
    | ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl1465]) ).

thf(zip_derived_cl41,plain,
    ! [X37: $i] :
      ( ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp29
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl612_009,plain,
    ( ~ ( c1_1 @ a576 )
   <= ~ ( c1_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1391,plain,
    ( ( ~ ( c2_1 @ a576 )
      | ( c3_1 @ a576 ) )
   <= ( ~ ( c1_1 @ a576 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl612]) ).

thf('21',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ( c1_1 @ a576 )
    | ( c3_1 @ a576 )
    | ~ ( c2_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl1391]) ).

thf(zip_derived_cl33,plain,
    ! [X21: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl614_010,plain,
    ( ~ ( c3_1 @ a576 )
   <= ~ ( c3_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl921,plain,
    ( ( ~ ( c0_1 @ a576 )
      | ( c2_1 @ a576 ) )
   <= ( ~ ( c3_1 @ a576 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl614]) ).

thf('22',plain,
    ( ( c2_1 @ a576 )
    | ( c3_1 @ a576 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a576 ) ),
    inference(split,[status(esa)],[zip_derived_cl921]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp12
    | ( c3_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ( ( c3_1 @ a564 )
   <= ( c3_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl16,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp10
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1141,plain,
    ( ( ~ ( c0_1 @ a564 )
      | ~ ( c2_1 @ a564 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a564 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl257]) ).

thf('23',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a564 )
    | ~ ( c0_1 @ a564 )
    | ~ ( c3_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl1141]) ).

thf(zip_derived_cl64,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c0_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp11
    | ( c1_1 @ a553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ( c1_1 @ a553 )
   <= ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl63,plain,
    ! [X72: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | hskp8
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl444,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1717,plain,
    ( ( ( c0_1 @ a553 )
      | ( c2_1 @ a553 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
      & ( c1_1 @ a553 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl444]) ).

thf('25',plain,
    ( ( c0_1 @ a553 )
    | ( c2_1 @ a553 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ~ ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1717]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ ( c2_1 @ a553 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl72,plain,
    ! [X90: $i,X91: $i,X92: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c1_1 @ X90 )
        | ~ ( c2_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c1_1 @ X90 )
        | ~ ( c2_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl566_011,plain,
    ( ~ ( c1_1 @ a594 )
   <= ~ ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1939,plain,
    ( ( ~ ( c2_1 @ a594 )
      | ( c0_1 @ a594 ) )
   <= ( ~ ( c1_1 @ a594 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c1_1 @ X90 )
          | ~ ( c2_1 @ X90 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl566]) ).

thf('27',plain,
    ( ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c1_1 @ X90 )
          | ~ ( c2_1 @ X90 ) )
    | ( c0_1 @ a594 )
    | ( c1_1 @ a594 )
    | ~ ( c2_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1939]) ).

thf(zip_derived_cl70,plain,
    ! [X87: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp5
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl472,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl566_012,plain,
    ( ~ ( c1_1 @ a594 )
   <= ~ ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1829,plain,
    ( ( ~ ( c3_1 @ a594 )
      | ( c0_1 @ a594 ) )
   <= ( ~ ( c1_1 @ a594 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl566]) ).

thf('28',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ~ ( c3_1 @ a594 )
    | ( c0_1 @ a594 )
    | ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1829]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp30
    | ( c1_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( c1_1 @ a562 )
   <= ( c1_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp20
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl971,plain,
    ( ( ~ ( c2_1 @ a562 )
      | ~ ( c3_1 @ a562 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl253]) ).

thf('29',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a562 )
    | ~ ( c3_1 @ a562 )
    | ~ ( c2_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl971]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp19
    | ( c0_1 @ a576 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ( c0_1 @ a576 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('31',plain,
    ( ~ ( c1_1 @ a576 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('32',plain,
    ( ~ ( c3_1 @ a576 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl660,plain,
    ( ( c3_1 @ a565 )
   <= ( c3_1 @ a565 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl28,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1140,plain,
    ( ( ( c2_1 @ a565 )
      | ~ ( c0_1 @ a565 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a565 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl660,zip_derived_cl305]) ).

thf('33',plain,
    ( ~ ( c0_1 @ a565 )
    | ~ ( c3_1 @ a565 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ( c2_1 @ a565 ) ),
    inference(split,[status(esa)],[zip_derived_cl1140]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp10
    | ( c1_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ( c1_1 @ a551 )
   <= ( c1_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl301_013,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1184,plain,
    ( ( ( c2_1 @ a551 )
      | ~ ( c3_1 @ a551 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c1_1 @ a551 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl301]) ).

thf('34',plain,
    ( ~ ( c1_1 @ a551 )
    | ( c2_1 @ a551 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl1184]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp10
    | ( c3_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c3_1 @ a551 )
   <= ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl51,plain,
    ! [X51: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp13
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1329,plain,
    ( ( ( c0_1 @ a551 )
      | ~ ( c2_1 @ a551 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a551 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl396]) ).

thf('35',plain,
    ( ~ ( c2_1 @ a551 )
    | ( c0_1 @ a551 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl1329]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp3
    | ( c0_1 @ a539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ( c0_1 @ a539 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c2_1 @ a539 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a539 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ ( c3_1 @ a539 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl325_014,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl742,plain,
    ( ~ ( c3_1 @ a539 )
   <= ~ ( c3_1 @ a539 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl916,plain,
    ( ( ~ ( c0_1 @ a539 )
      | ( c2_1 @ a539 ) )
   <= ( ~ ( c3_1 @ a539 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl742]) ).

thf('39',plain,
    ( ( c2_1 @ a539 )
    | ( c3_1 @ a539 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a539 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf(zip_derived_cl34,plain,
    ! [X22: $i,X23: $i] :
      ( ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('41',plain,
    ( ( c1_1 @ a562 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('42',plain,
    ( ( c1_1 @ a551 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a551 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ ( c0_1 @ a551 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl682_015,plain,
    ( ( c1_1 @ a551 )
   <= ( c1_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl55,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1426,plain,
    ( ( ( c0_1 @ a551 )
      | ~ ( c3_1 @ a551 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c1_1 @ a551 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl412]) ).

thf('44',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ~ ( c1_1 @ a551 )
    | ( c0_1 @ a551 )
    | ~ ( c3_1 @ a551 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf('45',plain,
    ( ( c3_1 @ a551 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('46',plain,
    ( hskp10
    | hskp14
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl19,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp14
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl522_016,plain,
    ( ( c1_1 @ a562 )
   <= ( c1_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl18,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl972,plain,
    ( ( ~ ( c0_1 @ a562 )
      | ~ ( c3_1 @ a562 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c1_1 @ a562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl265]) ).

thf('48',plain,
    ( ~ ( c0_1 @ a562 )
    | ~ ( c1_1 @ a562 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl972]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp0
    | ( c0_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c0_1 @ a536 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp0
    | ( c2_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c2_1 @ a536 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a536 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c3_1 @ a536 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl281_017,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl766,plain,
    ( ~ ( c3_1 @ a536 )
   <= ~ ( c3_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl823,plain,
    ( ( ~ ( c2_1 @ a536 )
      | ~ ( c0_1 @ a536 ) )
   <= ( ~ ( c3_1 @ a536 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl766]) ).

thf('52',plain,
    ( ~ ( c0_1 @ a536 )
    | ( c3_1 @ a536 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a536 ) ),
    inference(split,[status(esa)],[zip_derived_cl823]) ).

thf(zip_derived_cl23,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | hskp14
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( hskp14
    | hskp21
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp30
    | ( c2_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c2_1 @ a562 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp30
    | ( c3_1 @ a562 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c3_1 @ a562 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('56',plain,
    ( hskp30
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl674_018,plain,
    ( ( c1_1 @ a553 )
   <= ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl412_019,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 )
        | ~ ( c3_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl1427,plain,
    ( ( ( c0_1 @ a553 )
      | ~ ( c3_1 @ a553 ) )
   <= ( ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
      & ( c1_1 @ a553 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl412]) ).

thf('57',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 )
          | ~ ( c3_1 @ X59 ) )
    | ( c0_1 @ a553 )
    | ~ ( c3_1 @ a553 )
    | ~ ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1427]) ).

thf(zip_derived_cl674_020,plain,
    ( ( c1_1 @ a553 )
   <= ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl265_021,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1144,plain,
    ( ( ~ ( c0_1 @ a553 )
      | ~ ( c3_1 @ a553 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
      & ( c1_1 @ a553 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl265]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a553 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c3_1 @ X3 ) )
    | ~ ( c3_1 @ a553 )
    | ~ ( c1_1 @ a553 ) ),
    inference(split,[status(esa)],[zip_derived_cl1144]) ).

thf(zip_derived_cl356_022,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ~ ( c1_1 @ a573 )
   <= ~ ( c1_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1390,plain,
    ( ( ~ ( c2_1 @ a573 )
      | ( c3_1 @ a573 ) )
   <= ( ~ ( c1_1 @ a573 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl620]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a573 )
    | ( c3_1 @ a573 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ( c1_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl1390]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ~ ( c0_1 @ a573 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('61',plain,
    ( ~ ( c1_1 @ a573 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a573 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c3_1 @ a573 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl46,plain,
    ! [X43: $i,X44: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | ( c3_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( hskp18
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp26
    | ( c1_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ( ( c1_1 @ a604 )
   <= ( c1_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl21,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl277,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1086,plain,
    ( ( ( c3_1 @ a604 )
      | ~ ( c2_1 @ a604 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
      & ( c1_1 @ a604 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl277]) ).

thf('64',plain,
    ( ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 ) )
    | ~ ( c1_1 @ a604 )
    | ~ ( c2_1 @ a604 )
    | ( c3_1 @ a604 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf('65',plain,
    ( ( c1_1 @ a604 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp26
    | ( c2_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c2_1 @ a604 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a604 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ~ ( c3_1 @ a604 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl68,plain,
    ! [X82: $i,X83: $i,X84: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c2_1 @ X83 )
      | ~ ( c0_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X32: $i] :
        ( ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 ) )
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ( c3_1 @ X79 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf('69',plain,
    ( hskp26
    | hskp27
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c3_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl66,plain,
    ! [X79: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl456,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c2_1 @ X79 )
        | ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c3_1 @ a573 )
   <= ~ ( c3_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1988,plain,
    ( ( ( c2_1 @ a573 )
      | ( c0_1 @ a573 ) )
   <= ( ~ ( c3_1 @ a573 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ( c3_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl622]) ).

thf('70',plain,
    ( ( c2_1 @ a573 )
    | ( c0_1 @ a573 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c2_1 @ X79 )
          | ( c3_1 @ X79 ) )
    | ( c3_1 @ a573 ) ),
    inference(split,[status(esa)],[zip_derived_cl1988]) ).

thf(zip_derived_cl45,plain,
    ! [X42: $i] :
      ( ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ~ ( c0_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl732,plain,
    ( ~ ( c1_1 @ a540 )
   <= ~ ( c1_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1647,plain,
    ( ( ~ ( c0_1 @ a540 )
      | ( c2_1 @ a540 ) )
   <= ( ~ ( c1_1 @ a540 )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl732]) ).

thf('71',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ~ ( c0_1 @ X42 ) )
    | ~ ( c0_1 @ a540 )
    | ( c1_1 @ a540 )
    | ( c2_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl1647]) ).

thf(zip_derived_cl77,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X102 )
      | ~ ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl732_023,plain,
    ( ~ ( c1_1 @ a540 )
   <= ~ ( c1_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl2106,plain,
    ( ( ( c2_1 @ a540 )
      | ( c0_1 @ a540 ) )
   <= ( ~ ( c1_1 @ a540 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl732]) ).

thf('72',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ( c2_1 @ X101 ) )
    | ( c0_1 @ a540 )
    | ( c2_1 @ a540 )
    | ( c1_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl2106]) ).

thf(zip_derived_cl472_024,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl732_025,plain,
    ( ~ ( c1_1 @ a540 )
   <= ~ ( c1_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1821,plain,
    ( ( ~ ( c3_1 @ a540 )
      | ( c0_1 @ a540 ) )
   <= ( ~ ( c1_1 @ a540 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl732]) ).

thf('73',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ( c0_1 @ a540 )
    | ( c1_1 @ a540 )
    | ~ ( c3_1 @ a540 ) ),
    inference(split,[status(esa)],[zip_derived_cl1821]) ).

thf(zip_derived_cl79,plain,
    ! [X105: $i,X106: $i] :
      ( ( c0_1 @ X105 )
      | ( c1_1 @ X105 )
      | ( c2_1 @ X105 )
      | ~ ndr1_0
      | ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ( c2_1 @ X101 ) )
    | ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp4
    | ( c3_1 @ a540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ( c3_1 @ a540 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a540 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a540 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c2_1 @ a540 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl29,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp25
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( hskp4
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
    | ~ ndr1_0
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp5
    | ( c1_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl724,plain,
    ( ( c1_1 @ a544 )
   <= ( c1_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl309,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1225,plain,
    ( ( ( c2_1 @ a544 )
      | ( c3_1 @ a544 ) )
   <= ( ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
      & ( c1_1 @ a544 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl309]) ).

thf('79',plain,
    ( ( c2_1 @ a544 )
    | ( c3_1 @ a544 )
    | ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c1_1 @ X15 ) )
    | ~ ( c1_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl1225]) ).

thf(zip_derived_cl724_026,plain,
    ( ( c1_1 @ a544 )
   <= ( c1_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl38,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    ( ! [X32: $i] :
        ( ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c2_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1226,plain,
    ( ( ( c2_1 @ a544 )
      | ~ ( c0_1 @ a544 ) )
   <= ( ! [X32: $i] :
          ( ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 ) )
      & ( c1_1 @ a544 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl345]) ).

thf('80',plain,
    ( ~ ! [X32: $i] :
          ( ( c2_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 ) )
    | ~ ( c0_1 @ a544 )
    | ~ ( c1_1 @ a544 )
    | ( c2_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl1226]) ).

thf(zip_derived_cl325_027,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ~ ( c3_1 @ a544 )
   <= ~ ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl917,plain,
    ( ( ~ ( c0_1 @ a544 )
      | ( c2_1 @ a544 ) )
   <= ( ~ ( c3_1 @ a544 )
      & ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl726]) ).

thf(zip_derived_cl1440,plain,
    ( ( c2_1 @ a544 )
   <= ( c2_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl917]) ).

thf(zip_derived_cl281_028,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl257_029,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl822,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl257]) ).

thf(zip_derived_cl847,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl822]) ).

thf(zip_derived_cl1442,plain,
    ( ~ ( c0_1 @ a544 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a544 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl847]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp5
    | ( c0_1 @ a544 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl722,plain,
    ( ( c0_1 @ a544 )
   <= ( c0_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a544 )
    | ~ ( c0_1 @ a544 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1442,zip_derived_cl722]) ).

thf('82',plain,
    ( ( c1_1 @ a544 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('83',plain,
    ( ( c1_1 @ a553 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp11
    | ( c3_1 @ a553 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c3_1 @ a553 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl62,plain,
    ! [X71: $i] :
      ( ( c0_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | hskp29
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
    | hskp29
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp22
    | ( c3_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ( c3_1 @ a584 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ ( c0_1 @ a584 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a584 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ ( c2_1 @ a584 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl586,plain,
    ( ( c3_1 @ a584 )
   <= ( c3_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl440,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c2_1 @ X71 )
        | ~ ( c3_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl1694,plain,
    ( ( ( c0_1 @ a584 )
      | ( c2_1 @ a584 ) )
   <= ( ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c2_1 @ X71 )
          | ~ ( c3_1 @ X71 ) )
      & ( c3_1 @ a584 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl440]) ).

thf('89',plain,
    ( ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c2_1 @ X71 )
          | ~ ( c3_1 @ X71 ) )
    | ~ ( c3_1 @ a584 )
    | ( c0_1 @ a584 )
    | ( c2_1 @ a584 ) ),
    inference(split,[status(esa)],[zip_derived_cl1694]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl356_030,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl566_031,plain,
    ( ~ ( c1_1 @ a594 )
   <= ~ ( c1_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1393,plain,
    ( ( ~ ( c2_1 @ a594 )
      | ( c3_1 @ a594 ) )
   <= ( ~ ( c1_1 @ a594 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl566]) ).

thf('91',plain,
    ( ( c3_1 @ a594 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c3_1 @ X37 )
          | ~ ( c2_1 @ X37 ) )
    | ( c1_1 @ a594 )
    | ~ ( c2_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp25
    | ( c2_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ( c2_1 @ a594 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a594 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a594 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a594 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl5360,plain,
    ( ( c3_1 @ a594 )
   <= ( c3_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl396_032,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl5386,plain,
    ( ( ( c0_1 @ a594 )
      | ~ ( c2_1 @ a594 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a594 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5360,zip_derived_cl396]) ).

thf('95',plain,
    ( ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c3_1 @ a594 )
    | ~ ( c2_1 @ a594 )
    | ( c0_1 @ a594 ) ),
    inference(split,[status(esa)],[zip_derived_cl5386]) ).

thf(zip_derived_cl281_033,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl726_034,plain,
    ( ~ ( c3_1 @ a544 )
   <= ~ ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl827,plain,
    ( ( ~ ( c2_1 @ a544 )
      | ~ ( c0_1 @ a544 ) )
   <= ( ~ ( c3_1 @ a544 )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl726]) ).

thf('96',plain,
    ( ~ ( c2_1 @ a544 )
    | ~ ( c0_1 @ a544 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ( c3_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl827]) ).

thf('97',plain,
    ( ( c0_1 @ a544 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('98',plain,
    ( ~ ( c3_1 @ a544 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf('99',plain,
    ( ( c2_1 @ a544 )
    | ( c3_1 @ a544 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a544 ) ),
    inference(split,[status(esa)],[zip_derived_cl917]) ).

thf('100',plain,
    ( hskp29
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c3_1 @ X37 )
        | ~ ( c2_1 @ X37 ) )
    | ~ ndr1_0
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('101',plain,
    ( hskp22
    | ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | hskp21
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl0,plain,
    ( hskp21
    | hskp22
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( hskp23
    | hskp22
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    ( hskp5
    | hskp27
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( hskp25
    | hskp27
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp29
    | ( c0_1 @ a552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ hskp29
    | ( c0_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp29
    | ( c2_1 @ a552 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ hskp29
    | ( c2_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl532,plain,
    ( ( c2_1 @ a552 )
   <= ( c2_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl847_035,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl822]) ).

thf(zip_derived_cl997,plain,
    ( ~ ( c0_1 @ a552 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a552 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl847]) ).

thf(zip_derived_cl530,plain,
    ( ( c0_1 @ a552 )
   <= ( c0_1 @ a552 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('107',plain,
    ( ~ ( c0_1 @ a552 )
    | ~ ( c2_1 @ a552 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl997,zip_derived_cl530]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp27
    | ( c0_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ( c0_1 @ a615 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp27
    | ( c2_1 @ a615 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c2_1 @ a615 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl548,plain,
    ( ( c2_1 @ a615 )
   <= ( c2_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl847_036,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl822]) ).

thf(zip_derived_cl1045,plain,
    ( ~ ( c0_1 @ a615 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a615 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl847]) ).

thf(zip_derived_cl546,plain,
    ( ( c0_1 @ a615 )
   <= ( c0_1 @ a615 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('110',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a615 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c2_1 @ a615 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl546]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp21
    | ( c3_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl596,plain,
    ( ( c3_1 @ a582 )
   <= ( c3_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl257_037,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1107,plain,
    ( ( ~ ( c0_1 @ a582 )
      | ~ ( c2_1 @ a582 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a582 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl257]) ).

thf('111',plain,
    ( ~ ( c0_1 @ a582 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a582 )
    | ~ ( c2_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1107]) ).

thf(zip_derived_cl596_038,plain,
    ( ( c3_1 @ a582 )
   <= ( c3_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl396_039,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1334,plain,
    ( ( ( c0_1 @ a582 )
      | ~ ( c2_1 @ a582 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a582 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl396]) ).

thf('112',plain,
    ( ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ( c0_1 @ a582 )
    | ~ ( c2_1 @ a582 )
    | ~ ( c3_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf(zip_derived_cl526,plain,
    ( ( c3_1 @ a562 )
   <= ( c3_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl396_040,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1337,plain,
    ( ( ( c0_1 @ a562 )
      | ~ ( c2_1 @ a562 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl396]) ).

thf(zip_derived_cl3511,plain,
    ( ( c0_1 @ a562 )
   <= ( c0_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1337]) ).

thf(zip_derived_cl524,plain,
    ( ( c2_1 @ a562 )
   <= ( c2_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl847_041,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl822]) ).

thf(zip_derived_cl989,plain,
    ( ~ ( c0_1 @ a562 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a562 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl847]) ).

thf('113',plain,
    ( ~ ( c0_1 @ a562 )
    | ~ ( c2_1 @ a562 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3511,zip_derived_cl989]) ).

thf('114',plain,
    ( ( c0_1 @ a562 )
    | ~ ( c3_1 @ a562 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c2_1 @ a562 ) ),
    inference(split,[status(esa)],[zip_derived_cl1337]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp14
    | ( c2_1 @ a566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c2_1 @ a566 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp14
    | ( c3_1 @ a566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ( c3_1 @ a566 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a566 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ ( c0_1 @ a566 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl652,plain,
    ( ( c3_1 @ a566 )
   <= ( c3_1 @ a566 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl396_042,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1333,plain,
    ( ( ( c0_1 @ a566 )
      | ~ ( c2_1 @ a566 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a566 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl396]) ).

thf('118',plain,
    ( ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c2_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c2_1 @ a566 )
    | ~ ( c3_1 @ a566 )
    | ( c0_1 @ a566 ) ),
    inference(split,[status(esa)],[zip_derived_cl1333]) ).

thf(zip_derived_cl37,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | ( c2_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl482_043,plain,
    ( ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c1_1 @ X90 )
        | ~ ( c2_1 @ X90 ) )
   <= ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c1_1 @ X90 )
        | ~ ( c2_1 @ X90 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ~ ( c1_1 @ a582 )
   <= ~ ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1938,plain,
    ( ( ~ ( c2_1 @ a582 )
      | ( c0_1 @ a582 ) )
   <= ( ~ ( c1_1 @ a582 )
      & ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c1_1 @ X90 )
          | ~ ( c2_1 @ X90 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl598]) ).

thf('120',plain,
    ( ( c0_1 @ a582 )
    | ~ ! [X90: $i] :
          ( ( c0_1 @ X90 )
          | ( c1_1 @ X90 )
          | ~ ( c2_1 @ X90 ) )
    | ~ ( c2_1 @ a582 )
    | ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1938]) ).

thf(zip_derived_cl472_044,plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
   <= ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl598_045,plain,
    ( ~ ( c1_1 @ a582 )
   <= ~ ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1828,plain,
    ( ( ~ ( c3_1 @ a582 )
      | ( c0_1 @ a582 ) )
   <= ( ~ ( c1_1 @ a582 )
      & ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl598]) ).

thf('121',plain,
    ( ~ ! [X87: $i] :
          ( ( c0_1 @ X87 )
          | ( c1_1 @ X87 )
          | ~ ( c3_1 @ X87 ) )
    | ( c0_1 @ a582 )
    | ( c1_1 @ a582 )
    | ~ ( c3_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf(zip_derived_cl337_046,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl598_047,plain,
    ( ~ ( c1_1 @ a582 )
   <= ~ ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1064,plain,
    ( ( ~ ( c2_1 @ a582 )
      | ~ ( c0_1 @ a582 ) )
   <= ( ~ ( c1_1 @ a582 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl598]) ).

thf('122',plain,
    ( ~ ( c0_1 @ a582 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ( c1_1 @ a582 )
    | ~ ( c2_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1064]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl2,plain,
    ( hskp26
    | hskp6
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp26
    | hskp2
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl352_048,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl598_049,plain,
    ( ~ ( c1_1 @ a582 )
   <= ~ ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1279,plain,
    ( ( ~ ( c3_1 @ a582 )
      | ~ ( c2_1 @ a582 ) )
   <= ( ~ ( c1_1 @ a582 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl598]) ).

thf('127',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ~ ( c2_1 @ a582 )
    | ~ ( c3_1 @ a582 )
    | ( c1_1 @ a582 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp21
    | ( c2_1 @ a582 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ( c2_1 @ a582 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('129',plain,
    ( ( c3_1 @ a582 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('130',plain,
    ( ~ ( c1_1 @ a582 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('131',plain,
    ( ! [X87: $i] :
        ( ( c0_1 @ X87 )
        | ( c1_1 @ X87 )
        | ~ ( c3_1 @ X87 ) )
    | ! [X90: $i] :
        ( ( c0_1 @ X90 )
        | ( c1_1 @ X90 )
        | ~ ( c2_1 @ X90 ) )
    | ~ ndr1_0
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c2_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl26,plain,
    ! [X12: $i] :
      ( ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ndr1_0
      | hskp12
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( hskp12
    | hskp21
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp12
    | ( c0_1 @ a564 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c0_1 @ a564 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('134',plain,
    ( ( c3_1 @ a564 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('135',plain,
    ( ~ ( c1_1 @ a564 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl334_050,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl670_051,plain,
    ( ~ ( c1_1 @ a564 )
   <= ~ ( c1_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1014,plain,
    ( ( ~ ( c3_1 @ a564 )
      | ~ ( c0_1 @ a564 ) )
   <= ( ~ ( c1_1 @ a564 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl670]) ).

thf('136',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a564 )
    | ( c1_1 @ a564 )
    | ~ ( c0_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl1014]) ).

thf('137',plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl668_052,plain,
    ( ( c3_1 @ a564 )
   <= ( c3_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl305_053,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1142,plain,
    ( ( ( c2_1 @ a564 )
      | ~ ( c0_1 @ a564 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a564 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl305]) ).

thf('138',plain,
    ( ( c2_1 @ a564 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a564 )
    | ~ ( c3_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl1142]) ).

thf(zip_derived_cl337_054,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl670_055,plain,
    ( ~ ( c1_1 @ a564 )
   <= ~ ( c1_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1060,plain,
    ( ( ~ ( c2_1 @ a564 )
      | ~ ( c0_1 @ a564 ) )
   <= ( ~ ( c1_1 @ a564 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl670]) ).

thf('139',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c2_1 @ X27 ) )
    | ~ ( c2_1 @ a564 )
    | ( c1_1 @ a564 )
    | ~ ( c0_1 @ a564 ) ),
    inference(split,[status(esa)],[zip_derived_cl1060]) ).

thf('140',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl8692,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN510+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.V9CrvcDpin true
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 20:30:01 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.52/1.67  % Solved by fo/fo1_av.sh.
% 7.52/1.67  % done 2244 iterations in 0.844s
% 7.52/1.67  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.52/1.67  % SZS output start Refutation
% See solution above
% 7.52/1.67  
% 7.52/1.67  
% 7.52/1.67  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.52/1.67  % Terminating...
% 8.00/1.78  % Runner terminated.
% 8.00/1.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------